# Measurement of jet shapes in top-quark pair events at $\sqrt{s} = 7$ TeV using the ATLAS detector

G. Aad, S. Albrand, Q. Buat, B. Clement, J. Collot, S. Crépé-Renaudin, B.

Dechenaux, T. Delemontex, P.A. Delsart, M.H. Genest, et al.

► To cite this version:

G. Aad, S. Albrand, Q. Buat, B. Clement, J. Collot, et al., Measurement of jet shapes in top-quark pair events at $\sqrt{s} = 7$ TeV using the ATLAS detector. European Physical Journal C: Particles and Fields, 2013, 73, pp.2676. 10.1140/epjc/s10052-013-2676-3. in2p3-00847196

HAL Id: in2p3-00847196

https://hal.in2p3.fr/in2p3-00847196

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# Measurement of jet shapes in top pair events at $\sqrt{s} = 7$ TeV using the ATLAS detector

The ATLAS Collaboration

## Abstract

A measurement of jet shapes in top-quark pair events using $1.8 \text{ fb}^{-1}$ of $\sqrt{s} = 7$ TeV pp collision data recorded by the ATLAS detector at the LHC is presented. Samples of top-quark pair events are selected in both the single-lepton and dilepton final states. The differential and integrated shapes of the jets initiated by bottom-quarks from the top-quark decays are compared with those of the jets originated by light-quarks from the hadronic $W$-boson decays $W \to q\bar{q}'$ in the single-lepton channel. The light-quark jets are found to have a narrower distribution of the momentum flow inside the jet area than b-quark jets.
# Measurement of jet shapes in top-quark pair events at $\sqrt{s} = 7$ TeV using the ATLAS detector

The ATLAS Collaboration¹

¹CERN, 1211 Geneva 23, Switzerland

Received: date / Accepted: date

**Abstract** A measurement of jet shapes in top-quark pair events using 1.8 fb⁻¹ of $\sqrt{s} = 7$ TeV pp collision data recorded by the ATLAS detector at the LHC is presented. Samples of top-quark pair events are selected in both the single-lepton and dilepton final states. The differential and integrated shapes of the jets initiated by bottom-quarks from the top-quark decays are compared with those of the jets originated by light-quarks from the hadronic W-boson decays $W \to q\bar{q}'$ in the single-lepton channel. The light-quark jets are found to have a narrower distribution of the momentum flow inside the jet area than b-quark jets.

## 1 Introduction

Hadronic jets are observed in large momentum-transfer interactions. They are theoretically interpreted to arise when partons – quarks ($q$) and gluons ($g$) – are emitted in collision events of subatomic particles. Partons then evolve into hadronic jets in a two-step process. The first can be described by perturbation theory and gives rise to a parton shower, the second is non-perturbative and is responsible for the hadronisation. The internal structure of a jet is expected to depend primarily on the type of parton it originated from, with some residual dependence on the quark production and fragmentation process. For instance, due to the different colour factors in $ggg$ and $qqg$ vertices, gluons lead to more parton radiation and therefore gluon-initiated jets are expected to be broader than quark-initiated jets.

For jets defined using cone or $k_t$ algorithms [1, 2], jet shapes, i.e. the normalised transverse momentum flow as a function of the distance to the jet axis [3], have been traditionally used as a means of understanding the evolution of partons into hadrons in $e^+e^-$, $ep$ and hadron colliders [4–11]. It is experimentally observed that jets in $e^+e^-$ and $ep$ are narrower than those observed in $p\bar{p}$ and $pp$ collisions and this

is interpreted as a result of the different admixtures of quark and gluon jets present in these different types of interactions [12]. Furthermore, at high momentum transfer, where fragmentation effects are less relevant, jet shapes have been found to be in qualitative agreement with next-to-leading-order (NLO) QCD predictions and in quantitative agreement with those including leading logarithm corrections [13]. Jet shapes have also been proposed as a tool for studies of substructure or in searches for new phenomena in final states with highly boosted particles [14–17].

Due to the mass of the b-quark, jets originating from a b-quark (hereafter called b-jets) are expected to be broader than light-quark jets, including charm jets, hereafter called light jets. This expectation is supported by observations by the CDF collaboration in Ref. [18], where a comparison is presented between jet shapes in a b-jet enriched sample with a purity of roughly 25% and an inclusive sample where no distinction is made between the flavours.

This paper presents the first measurement of b-jet shapes in top pair events. The $t\bar{t}$ final states are a source of b-jets, as the top quark decays almost exclusively via $t \to Wb$. While the dilepton channel, where both W bosons decay to leptons, is a very pure source of b-jets, the single-lepton channel contains b-jets and light jets, the latter originating from the dominant $W^+ \to u\bar{d}, c\bar{s}$ decays and their charge conjugates. A comparison of the light- and b-jet shapes measured in the $t\bar{t}$ decays improves the CDF measurement discussed above, as the jet purity achieved using $t\bar{t}$ events is much higher. In addition, these measurements could be used to improve the modelling of jets in $t\bar{t}$ production Monte Carlo (MC) models in a new kinematic regime.

This paper is organised as follows. In Sect. 2 the ATLAS detector is described, while Sect. 3 is dedicated to the MC samples used in the analysis. In Sects. 4 and 5, the physics object and event selection for both the dilepton and single-lepton $t\bar{t}$ samples is presented. Section 6 is devoted to the
description of both the b-jet and light-jet samples obtained
in the single-lepton final state. The differential and the inte-
grated shape distributions of these jets are derived in Sect. 7.
In Sect. 8 the results on the average values of the jet shape
variables at the detector level are presented, including those
for the b-jets in the dilepton channel. Results corrected for
detector effects are presented in Sect. 9. In Sect. 10 the sys-
tematic uncertainties are discussed, and Sect. 11 contains a
discussion of the results. Finally, Sect. 12 includes the sum-
mary and conclusions.

## 2 The ATLAS detector

The ATLAS detector [19] is a multi-purpose particle physics
detector with a forward-backward symmetric cylindrical ge-
ometry<fnref n="1" /> and a solid angle coverage of almost $4\pi$.
The inner tracking system covers the pseudorapidity range
$|\eta| < 2.5$, and consists of a silicon pixel detector, a sili-
con microstrip detector, and, for $|\eta| < 2.0$, a transition ra-
diation tracker. The inner detector (ID) is surrounded by
a thin superconducting solenoid providing a 2 T magnetic
field along the beam direction. A high-granularity liquid-
argon sampling electromagnetic calorimeter covers the re-
gion $|\eta| < 3.2$. An iron/scintillator tile hadronic calorime-
ter provides coverage in the range $|\eta| < 1.7$. The endcap
and forward regions, spanning $1.5 < |\eta| < 4.9$, are instru-
mented with liquid-argon calorimeters for electromagnetic
and hadronic measurements. The muon spectrometer sur-
rounds the calorimeters. It consists of three large air-core su-
perconducting toroid systems and separate trigger and high-
precision tracking chambers providing accurate muon track-
ing for $|\eta| < 2.7$.

The trigger system [20] has three consecutive levels: level 1 (L1), level 2 (L2) and the event filter (EF). The L1 triggers are hardware-based and use coarse detector information to identify regions of interest, whereas the L2 triggers are based on fast software-based online data reconstruction algorithms. Finally, the EF triggers use offline data reconstruction algorithms. For this analysis, the relevant triggers select events with at least one electron or muon.

## 3 Monte Carlo Samples

Monte Carlo generators are used in which $t\bar{t}$ production is
implemented with matrix elements calculated up to NLO ac-

curacy. The generated events are then passed through a de-
tailed GEANT4 simulation [21, 22] of the ATLAS detector.
The baseline MC samples used here are produced with the
MC@NLO [23] or POWHEG [24] generators for the ma-
trix element calculation; the parton shower and hadronisa-
tion processes are implemented with HERWIG [25] using the
cluster hadronisation model [26] and CTEQ6.6 [27] parton
distribution functions (PDFs). Multi-parton interactions are
simulated using JIMMY [28] with the AUET1 tune [29]. This
MC generator package has been used for the description of
the $t\bar{t}$ final states for ATLAS measurements of the cross sec-
tion [30, 31] and studies of the kinematics [32].

Additional MC samples are used to check the hadronisa-
tion model dependence of the jet shapes. They are based
on POWHEG+PYTHIA [24, 33], with the MRST2007LO*
PDFs [34]. The ACERMC generator [35] interfaced to PY-
THIA with the PERUGIA 2010 tune [36] for parton shower-
ing and hadronisation is also used for comparison. Here the
parton showers are ordered by transverse momentum and the
hadronisation proceeds through the Lund string fragmenta-
tion scheme [37]. The underlying event and other soft effects
are simulated by PYTHIA with the AMBT1 tune [38]. Com-
parisons of different event generators show that jet shapes in
top-quark decays show little sensitivity to initial-state radi-
ation effects, different PDF choices or underlying-event ef-
fects. They are more sensitive to details of the parton shower
and the fragmentation scheme.

Samples of events including *W* and *Z* bosons produced in
association with light- and heavy-flavour jets are generated
using the ALPGEN [39] generator with the CTEQ6L PDFs
[40], and interfaced with HERWIG and JIMMY. The same
generator is used for the diboson backgrounds, *WW*, *WZ*
and *ZZ*, while MC@NLO is used for the simulation of the
single-top backgrounds, including the *t- and s-channels as
well as the *Wt-channel*.

The MC-simulated samples are normalised to the correspon-
ding cross sections. The $t\bar{t}$ signal is normalised to the cross
section calculated at approximate next-to-next-to-leading or-
der (NNLO) using the HATHOR package [41], while for the
single-top production cross section, the calculations in Refs.
[42–44] are used. The *W+jets and Z+jets cross sections are
taken from ALPGEN [39] with additional NNLO K-factors
as given in Ref. [45].

The simulated events are weighted such that the distribution
of the number of interactions per bunch crossing in the sim-
ulated samples matches that of the data. Finally, additional
correction factors are applied to take into account the di-
fferent object efficiencies in data and simulation. The scale
factors used for these corrections tipically differ from unity
by 1% for electrons and muons, and by a few percent for
*b*-tagging.

<footnote n="1">¹ATLAS uses a right-handed coordinate system with its origin at the nominal interaction point (IP) in the centre of the detector and the z-axis along the beam pipe. The x-axis points from the IP to the centre of the LHC ring, and the y-axis points upward. Cylindrical coordinates (r, φ) are used in the transverse plane, φ being the azimuthal angle around the beam pipe. The pseudorapidity is defined in terms of the polar angle θ as η = −ln tan(θ/2).</footnote>
## 4 Physics object selection

Electron candidates are reconstructed from energy deposits in the calorimeter that are associated with tracks reconstructed in the ID. The candidates must pass a tight selection [46], which uses calorimeter and tracking variables as well as transition radiation for $|η| < 2.0$, and are required to have transverse momentum $p_T > 25$ GeV and $|η| < 2.47$. Electrons in the transition region between the barrel and endcap calorimeters, $1.37 < |η| < 1.52$, are not considered.

Muon candidates are reconstructed by searching for track segments in different layers of the muon spectrometer. These segments are combined and matched with tracks found in the ID. The candidates are refitted using the complete track information from both detector systems and are required to have a good fit and to satisfy $p_T > 20$ GeV and $|η| < 2.5$.

Electron and muon candidates are required to be isolated to reduce backgrounds arising from jets and to suppress the selection of leptons from heavy-flavour semileptonic decays. For electron candidates, the transverse energy deposited in the calorimeter and which is not associated with the electron itself ($E_T^{\text{iso}}$) is summed in a cone in $η-\phi$ space of radius $2 \Delta R = 0.2$ around the electron. The $E_T^{\text{iso}}$ value is required to be less than 3.5 GeV. For muon candidates, both the corresponding calorimeter isolation $E_T^{\text{iso}}$ and the analogous track isolation transverse momentum ($p_T^{\text{iso}}$) must be less than 4 GeV in a cone of $\Delta R = 0.3$. The track isolation is calculated from the scalar sum of the transverse momenta of tracks with $p_T > 1$ GeV, excluding the muon.

Muon candidates arising from cosmic rays are rejected by removing candidate pairs that are back-to-back in the transverse plane and that have transverse impact parameter relative to the beam axis $|d_0| > 0.5$ mm.

Jets are reconstructed with the anti-$k_t$ algorithm [47, 48] with radius parameter $R = 0.4$. This choice for the radius has been used in measurements of the top-quark mass [49] and also in multi-jet cross-section measurements [50]. The inputs to the jet algorithm are topological clusters of calorimeter cells. These clusters are seeded by calorimeter cells with energy $|E_{\text{cell}}| > 4\sigma$, where $\sigma$ is the cell-by-cell RMS of the noise (electronics plus pileup). Neighbouring cells are added if $|E_{\text{cell}}| > 2\sigma$ and clusters are formed through an iterative procedure [51]. In a final step, all remaining neighbouring cells are added to the cluster.

The baseline calibration for these clusters calculates their energy using the electromagnetic energy scale [54]. This is established using test-beam measurements for electrons and muons in the electromagnetic and hadronic calorimeters [51–53]. Effects due to the differing response to electromagnetic and hadronic showers, energy losses in the dead material, shower leakage, as well as inefficiencies in energy clustering and jet reconstruction are also taken into account.

This is done by matching calorimeter jets with MC particle jets in bins of $η$ and $E$, and supplemented by in situ calibration methods such as jet momentum imbalance in $Z/γ^* + 1$ jet events. This is called the Jet Energy Scale (JES) calibration, thoroughly discussed in Ref. [54]. The JES uncertainty contains an extra term for b-quark jets, as the jet response is different for b-jets and light jets because they have different particle composition. References [50] and [55] contain more details on the JES and a discussion of its uncertainties.

Jets that overlap with a selected electron are removed if they are closer than $\Delta R = 0.2$, while if a jet is closer than $\Delta R = 0.4$ to a muon, the muon is removed.

The primary vertex is defined as the pp interaction vertex with the largest $\sum_i p_{Ti}^2$, where the sum runs over the tracks with $p_T > 150$ MeV associated with the vertex.

Jets are identified as candidates for having originated from a b-quark (b-tagged) by an algorithm based on a neural-network approach, as discussed in Sect. 6.

The reconstruction of the direction and magnitude ($E_T^{\text{miss}}$) of the missing transverse momentum is described in Ref. [56] and begins with the vector sum of the transverse momenta of all jets with $p_T > 20$ GeV and $|η| < 4.5$. The transverse momenta of electron candidates are added. The contributions from all muon candidates and from all calorimeter clusters not belonging to a reconstructed object are also included.

## 5 Event selection

Two samples of events are selected: a dilepton sample, where both W bosons decay to leptons (e, $\mu$, including leptonic $\tau$ decays), and a single-lepton sample, where one W boson decays to leptons and the other to a $q\bar{q}'$ pair, giving rise to two more jets (see Fig. 1). The selection criteria follow those in Ref. [30] for the single-lepton sample and Ref. [31] for the dilepton sample. Events are triggered by inclusive high-$p_T$ electron or muon EF triggers. The trigger thresholds are 18 GeV for muons and 20 GeV for electrons. The dataset used for the analysis corresponds to the first half of the data collected in 2011, with a centre-of-mass energy $\sqrt{s} = 7$ TeV and an integrated luminosity of $1.8 \text{ fb}^{-1}$. This data-taking period is characterised by an instantaneous luminosity smaller than $1.5 \times 10^{33} \text{ cm}^{-2} \text{ s}^{-1}$, for which the mean number of interactions per bunch crossing is less than six. To reject the non-collision background, the primary vertex is required to have at least four tracks, each with $p_T > 150$ MeV, associated with it. Pile-up effects are therefore small and have been taken into account as a systematic uncertainty.

### 5.1 Dilepton sample

In the dilepton sample, events are required to have two charged leptons and $E_T^{\text{miss}}$ from the leptonic W-boson decays

<footnote>$^2$The radius in the $η-\phi$ space is defined as $\Delta R = \sqrt{(\Delta η)^2 + (\Delta \phi)^2}$</footnote>
<figure><img src="image_2.png" /><figcaption>Fig. 1 Example LO Feynman diagrams for $gg \to t\bar{t}$ in the dilepton (left) and single-lepton (right) decay modes.</figcaption></figure>

to a neutrino and an electron or muon. The offline lepton selection requires two isolated leptons (e or μ) with opposite charge and with transverse momenta $p_T(e) > 25$ GeV, where $p_T(e) = E_{\text{cluster}} \sin(\theta_{\text{track}})$, $E_{\text{cluster}}$ being the cluster energy and $\theta_{\text{track}}$ the track polar angle, and $p_T(\mu) > 20$ GeV. At least one of the selected leptons has to match the corresponding trigger object.

Events are further filtered by requiring at least two jets with $p_T > 25$ GeV and $|\eta| < 2.5$ in the event. In addition, at least one of the selected jets has to be tagged as a b-jet, as discussed in the next section. The whole event is rejected if a jet is identified as an out-of-time signal or as noise in the calorimeter.

The missing transverse momentum requirement is $E_T^{\text{miss}} > 60$ GeV for the ee and μμ channels. For the $e\mu$ channel, $H_T$ is required to be greater than 130 GeV, where $H_T$ is the scalar sum of the $p_T$ of all muons, electrons and jets. To reject the Drell-Yan lepton pair background in the ee and μμ channels, the lepton pair is required to have an invariant mass $m_{\ell\ell}$ greater than 15 GeV and to lie outside of a Z-boson mass window, rejecting all events where the two-lepton invariant mass satisfies $|m_{\ell\ell} - m_Z| < 10$ GeV.

The selected sample consists of 95% $t\bar{t}$ events, but also backgrounds from the final states W+jets and Z+jets, where the gauge bosons decay to leptons. All backgrounds, with the exception of multi-jet production, have been estimated using MC samples. The multi-jet background has been estimated using the jet-electron method [60]. This method relies on the identification of jets which, due to their high electromagnetic energy fraction, can fake electron candidates. The jet-electron method is applied with some modifications to the muon channel as well. The normalisation is estimated using a binned likelihood fit to the $E_T^{\text{miss}}$ distribution. The results are summarised in Table 1.

## 5.2 Single-Lepton sample

In this case, the event is required to have exactly one isolated lepton with $p_T > 25$ GeV for electrons and $p_T > 20$ GeV for muons. To account for the neutrino in the leptonic W

<table><caption>**Table 1** The expected composition of the dilepton sample. Fractions are relative to the total number of expected events. 'Other EW' corresponds to the W+jets and diboson (WW, WZ and ZZ) contributions.</caption><thead><tr><th>Process</th><th>Expected events</th><th>Fraction</th></tr></thead><tbody><tr><td>t<span style="text-decoration: overline;">t</span></td><td>2100 ± 110</td><td>94.9%</td></tr><tr><td>Z + jets (Z → <span style="text-decoration: overline;">l</span><sup>+</sup><span style="text-decoration: overline;">l</span><sup>-</sup>)</td><td>14 ± 1</td><td>0.6%</td></tr><tr><td>Other EW (W, diboson)</td><td>4 ± 2</td><td>0.2%</td></tr><tr><td>Single top</td><td>95 ± 2</td><td>4.3%</td></tr><tr><td>Multi-jet</td><td>0<sup>+2</sup><sub>-0</sub></td><td>0.0%</td></tr><tr><td><strong>Total Expected</strong></td><td>2210 ± 110</td><td></td></tr><tr><td><strong>Total Observed</strong></td><td>2067</td><td></td></tr></tbody></table>

decay, $E_T^{\text{miss}}$ is required to be greater than 35 GeV in the electron channel and greater than 20 GeV in the muon channel. The $E_T^{\text{miss}}$ resolution is below 10 GeV [56]. Furthermore, the transverse mass $^3(m_T)$ is required to be greater than 25 GeV in the e-channel and to satisfy the condition $E_T^{\text{miss}} + m_T > 60$ GeV in the μ-channel.

The jet selection requires at least four jets ($p_T > 25$ GeV and $|\eta| < 2.5$) in the final state, and at least one of them has to be tagged as a b-jet. The fraction of $t\bar{t}$ events in the sample is 77%; the main background contributions for the single-lepton channel have been studied as in the previous case, and are summarised in Table 2. As in the dileptonic case, the multi-jet background has been estimated using the jet-electron method.

## 6 Jet sample definition

Jets reconstructed in the single-lepton and dilepton samples are now subdivided into b-jet and light-jet samples. In order to avoid contributions from non-primary collisions, it is required that the jet vertex fraction (JVF) be greater than 0.75. After summing the scalar $p_T$ of all tracks in a jet, the JVF is defined as the fraction of the total scalar $p_T$ that belongs to

<footnote n="3">³The transverse mass is defined as $m_T = \sqrt{2p_T^\ell E_T^{\text{miss}} (1 - \cos \Delta\phi_{\ell\nu})}$, where $\Delta\phi_{\ell\nu}$ is the angle in the transverse plane between the selected lepton and the $E_T^{\text{miss}}$ direction.</footnote>
<table><caption>**Table 2** The expected composition of the single-lepton sample. Fractions are relative to the total number of expected events. In this case 'Other EW' includes Z + jets and diboson processes.</caption><thead><tr><th>Process</th><th>Expected events</th><th>Fraction</th></tr></thead><tbody><tr><td>t<span style="text-decoration: overline;">t</span></td><td>14000 ± 700</td><td>77.4%</td></tr><tr><td>W + jets (W → ℓν)</td><td>2310 ± 280</td><td>12.8%</td></tr><tr><td>Other EW (Z, diboson)</td><td>198 ± 18</td><td>1.1%</td></tr><tr><td>Single top</td><td>668 ± 14</td><td>3.7%</td></tr><tr><td>Multi-jet</td><td>900 ± 450</td><td>5.0%</td></tr><tr><td><strong>Total Expected</strong></td><td>18000 ± 900</td><td></td></tr><tr><td><strong>Total Observed</strong></td><td>17019</td><td></td></tr></tbody></table>

tracks originating from the primary vertex. This makes the average jet multiplicity independent of the number of $pp$ interaction vertices. This selection is not applied to jets with no associated tracks. Also, to reduce the impact of pileup on the jets, the $p_T$ threshold has been raised to 30 GeV.

Jets whose axes are closer than $\Delta R = 0.8$, which is twice the jet radius, to some other jet in the event are not considered. This is done to avoid possible overlaps between the jet cones, which would bias the shape measurement. These configurations are typical in boosted W bosons, leading to light jets which are not well separated. The resulting $\Delta R$ distributions for any pair of b-jets or light jets are approximately constant between 0.8 and $\pi$ and exhibit an exponential fall-off between $\pi$ and the endpoint of the distribution.

## 6.1 b-jet samples

To select b-jets, a neural-network algorithm, which relies on the reconstruction of secondary vertices and impact parameter information in the three spatial dimensions, is used. The reconstruction of the secondary decay vertices makes use of an iterative Kalman-filter algorithm [61] which relies on the hypothesis that the $b \to c \to X$ decay chains lie in a straight line originally taken to be parallel to the jet axis. The working point of the algorithm is chosen to maximise the purity of the sample. It corresponds to a b-tagging efficiency of 57% for jets originating from b-quarks in simulated $t\bar{t}$ events, and a u,d,s-quark jet rejection factor of about 400, as well as a c-jet rejection factor of about 10 [62, 63]. The resulting number of b-jets selected in the dilepton (single-lepton) sample is 2279 (16735). A second working point with a b-tagging efficiency of 70% is also used in order to evaluate the dependence of the measured jet shapes on b-tagging.

Figure 2 shows the b-tagged jet transverse momentum distributions for the single-lepton and dilepton channels. The $p_T$ distributions for the b-jets in both the dilepton and single-lepton samples show a similar behaviour, since they come mainly from top-quark decays. This is well described by the

<figure><img src="image_3.png" /></figure>

<figure><img src="image_4.png" /><figcaption>**Fig. 2** The $p_T$ distributions for b-tagged jets in the single-lepton (top) and dilepton (bottom) samples along with the sample composition expectations.</figcaption></figure>

MC expectations from the MC@NLO generator coupled to HERWIG. In the dilepton sample the signal-to-background ratio is found to be greater than in the single-lepton sample, as it is quantitatively shown in Tables 1 and 2.

## 6.2 Light-quark jet sample

The hadronic decays $W \to q\bar{q}'$ are a clean source of light-quark jets, as gluons and b-jets are highly suppressed; the former because gluons would originate in radiative corrections of order $\mathcal{O}(\alpha_s)$, and the latter because of the smallness of the CKM matrix elements $|V_{ub}|$ and $|V_{cb}|$. To select the light-jet sample, the jet pair in the event which has the invariant mass closest to the W-boson mass is selected. Both jets are also required to be non-tagged by the b-tagging algorithm. The number of jets satisfying these criteria is 7158. Figure 3 shows the transverse momentum distribution of these jets together with the invariant mass of the dijet system. As expected, the $p_T$ distribution of the light jets from W-boson decays exhibits a stronger fall-off than that for the
<figure><img src="image_5.png" /></figure>

<figure><img src="image_6.png" /><figcaption>**Fig. 3** The distribution of light-jet $p_T$ (top) and of the invariant mass of light-jet pairs (bottom) along with the sample composition expectations. The latter shows a peak at the W mass, whose width is determined by the dijet mass resolution.</figcaption></figure>

b-jets. This dependence is again well described by the MC simulations in the jet $p_T$ region used in this analysis. Agreement between the invariant mass distributions for observed and simulated events is good, in particular in the region close to the W-boson mass.

## 6.3 Jet purities

To estimate the actual number of b-jets and light jets in each of the samples, the MC simulation is used by analysing the information at generator level. For b-jets, a matching to a b-hadron is performed within a radius $\Delta R = 0.3$. For light jets, the jet is required not to have a b-hadron within $\Delta R = 0.3$ of the jet axis. Additionally, to distinguish light quarks and c-quarks from gluons, the MC parton with highest $p_T$ within the cone of the reconstructed jet is required to be a (u,d,c or s)-quark. The purity $p$ is then defined as

$$p = \sum_k \alpha_k p_k; \quad p_k = 1 - \frac{N_f^{(k)}}{N_T^{(k)}} \qquad (1)$$

<table><caption>**Table 3** Purity estimation for b-jets and light jets in the single-lepton channel. The uncertainty on the purity arises from the uncertainties in the signal and background fractions.</caption><thead><tr><th>Process</th><th>α<sub>k</sub></th><th>p<sub>k</sub>(b)</th><th>p<sub>k</sub> (light)</th></tr></thead><tbody><tr><td>t<span style="text-decoration: overline;">t</span></td><td>0.774</td><td>0.961</td><td>0.725</td></tr><tr><td>W → ℓν</td><td>0.128</td><td>0.430</td><td>0.360</td></tr><tr><td>Multi-jet</td><td>0.050</td><td>0.887</td><td>0.485</td></tr><tr><td>Other EW (Z, diboson)</td><td>0.011</td><td>0.611</td><td>0.342</td></tr><tr><td>Single top</td><td>0.037</td><td>0.958</td><td>0.716</td></tr><tr><td><strong>Weighted total</strong></td><td>-</td><td>(88.5 ± 5.7)%</td><td>(66.2 ± 4.1)%</td></tr></tbody></table>

<table><caption>**Table 4** Purity estimation for b-jets in the dilepton channel. The uncertainty on the purity arises from the uncertainties in the signal and background fractions.</caption><thead><tr><th>Process</th><th>α<sub>k</sub></th><th>p<sub>k</sub>(b)</th></tr></thead><tbody><tr><td>t<span style="text-decoration: overline;">t</span></td><td>0.949</td><td>0.997</td></tr><tr><td>Z → ℓ<sup>+</sup>ℓ<sup>-</sup></td><td>0.006</td><td>0.515</td></tr><tr><td>Other EW (W, diboson)</td><td>0.002</td><td>0.375</td></tr><tr><td>Single top</td><td>0.043</td><td>0.987</td></tr><tr><td>Multi-jet</td><td>-</td><td>-</td></tr><tr><td><strong>Weighted total</strong></td><td>-</td><td>(99.3<sup>+0.7</sup><sub>-6.5</sub>%)</td></tr></tbody></table>

where $\alpha_k$ is the fraction of events in the k-th MC sample (signal or background), given in Tables 1 and 2 and $N_f^{(k)}$, $N_T^{(k)}$ are the number of fakes (jets not assigned to the correct flavour, e.g. charm jets in the b-jet sample), and the total number of jets in a given sample, respectively. The purity in the multi-jet background is determined using PYTHIA MC samples.

In the single-lepton channel, the resulting purity of the b-jet sample is $p_b^{(s)} = (88.5 \pm 5.7)\%$, while the purity of the light-jet sample is found to be $p_l^{(s)} = (66.2 \pm 4.1)\%$, as shown in Table 3. The uncertainty on the purity arises from the uncertainties on the signal and background fractions in each sample. The charm content in the light-jet sample is found to be 16%, with the remaining 50% ascribed to u,d and s. MC studies indicate that the contamination of the b-jet sample is dominated by charm-jet fakes and that the gluon contamination is about 0.7%. For the light-jet sample, the fraction of gluon fakes amounts to 19%, while the b-jet fakes correspond to 15%.

In the dilepton channel, a similar calculation yields the purity of the b-jet sample to be $p_b^{(d)} = (99.3^{+0.7}_{-6.5})\%$ as shown in Table 4. Thus, the b-jet sample purity achieved using $t\bar{t}$ final states is much higher than that obtained in inclusive b-jet measurements at the Tevatron [18] or the LHC [55].
<figure><img src="image_7.png" /><figcaption>Fig. 4 Distribution of R = 0.4 b-jets in the single-lepton channel as a function of the differential jet shapes $\rho(r)$ for different values of r.</figcaption></figure>

<figure><img src="image_8.png" /><figcaption>Fig. 5 Distribution of R = 0.4 light jets in the single-lepton channel as a function of the differential jet shapes $\rho(r)$ for different values of r.</figcaption></figure>

## 7 Jet shapes in the single-lepton channel

For the jet shape calculation, locally calibrated topological clusters are used [54, 57, 58]. In this procedure, effects due to calorimeter response, leakage, and losses in the dead material upstream of the calorimeter are taken into account separately for electromagnetic and hadronic clusters [59].

The differential jet shape $\rho(r)$ in an annulus of inner radius $r - \Delta r/2$ and outer radius $r + \Delta r/2$ from the axis of a given jet is defined as

$$ \rho(r) = \frac{1}{\Delta r} \frac{p_T(r - \Delta r/2, r + \Delta r/2)}{p_T(0, R)} \quad (2) $$

Here, $\Delta r = 0.04$ is the width of the annulus; $r$, such that $\Delta r/2 \le r \le R - \Delta r/2$, is the distance to the jet axis in the $\eta-\phi$ plane, and $p_T(r_1, r_2)$ is the scalar sum of the $p_T$ of the jet constituents with radii between $r_1$ and $r_2$.

Some distributions of $\rho(r)$ are shown in Fig. 4 for the b-jet sample selected in the single-lepton channel. There is a marked peak at zero energy deposit, which indicates that energy is concentrated around relatively few particles. As $r$ increases, the distributions of $\rho(r)$ are concentrated at smaller values because of the relatively low energy density at the periphery of the jets. Both effects are well reproduced by the

MC generators.

The analogous $\rho(r)$ distributions for light jets are shown in Fig. 5. The gross features are similar to those previously discussed for b-jets, but for small values of $r$, the $\rho(r)$ distributions for light jets are somewhat flatter than those for b-jets.

The integrated jet shape in a cone of radius $r \le R$ around the jet axis is defined as the cumulative distribution for $\rho(r)$, i.e.

$$ \Psi(r) = \frac{p_T(0, r)}{p_T(0, R)}; \quad r \le R \quad (3) $$

which satisfies $\Psi(r = R) = 1$. Figure 6 (7) shows distributions of the integrated jet shapes for b-jets (light jets) in the single-lepton sample. These figures show the inclusive (i.e. not binned in either $\eta$ or $p_T$) $\rho(r)$ and $\Psi(r)$ distributions for fixed values of $r$. Jet shapes are only mildly dependent on pseudorapidity, while they strongly depend on the transverse momentum. This behaviour has been verified in previous analyses [5–11]. This is illustrated in Figs. 8 and 9, which show the energy fraction in the outer half of the cone as a function of $p_T$ and $|\eta|$. For this reason, all the data presented in the following are binned in five $p_T$ regions with $p_T < 150$ GeV, where the statistical uncertainty is small enough. In the following, only the average values of these distributions are presented:
<figure><img src="image_9.png" /><figcaption>Fig. 6 Distribution of R = 0.4 b-jets in the single-lepton channel as a function of the integrated jet shapes $\Psi(r)$ for different values of r.</figcaption></figure>

<figure><img src="image_10.png" /><figcaption>Fig. 7 Distribution of R = 0.4 light jets in the single-lepton channel as a function of the integrated jet shapes $\Psi(r)$ for different values of r.</figcaption></figure>

$$ \langle \rho(r) \rangle = \frac{1}{\Delta r N_{\text{jets}}} \sum_{\text{jets}} \frac{p_{\text{T}}(r - \Delta r/2, r + \Delta r/2)}{p_{\text{T}}(0, R)} \quad (4) $$

$$ \langle \Psi(r) \rangle = \frac{1}{N_{\text{jets}}} \sum_{\text{jets}} \frac{p_{\text{T}}(0, r)}{p_{\text{T}}(0, R)} \quad (5) $$

where the sum is performed over all jets of a given sample, light jets (l) or b-jets (b) and $N_{\text{jets}}$ is the number of jets in the sample.

## 8 Results at the detector level

In the following, the detector-level results for the average values $\langle \rho(r) \rangle$ and $\langle \Psi(r) \rangle$ as a function of the jet internal radius $r$, are presented. A comparison has been made between b-jet shapes obtained in both the dilepton and single-lepton samples, and it is found that they are consistent with each other within the uncertainties. Thus the samples are merged. In Figure 10, the distributions for the average values of the differential jet shapes are shown for each $p_{\text{T}}$ bin, along with a comparison with the expectations from the simulated samples described in Sect. 3. There is a small but clear difference between light- and b-jet differential shapes, the former

lying above (below) the latter for smaller (larger) values of r. These differences are more visible at low transverse momentum. In Figure 11, the average integrated jet shapes $\langle \Psi(r) \rangle$ are shown for both the light jets and b-jets, and compared to the MC expectations discussed earlier. Similar comments apply here: The values of $\langle \Psi(r) \rangle$ are consistently larger for light jets than for b-jets for small values of r, while they tend to merge as $r \to R$ since, by definition, $\Psi(R) = 1$.

## 9 Unfolding to particle level

In order to correct the data for acceptance and detector effects, thus enabling comparisons with different models and other experiments, an unfolding procedure is followed. The method used to correct the measurements based on topological clusters to the particle level relies on a bin-by-bin correction. Correction factors $F(r)$ are calculated separately for differential, $\langle \rho(r) \rangle$, and integrated, $\langle \Psi(r) \rangle$, jet shapes in both the light- and b-jet samples. For differential ($\rho$) and integrated jet shapes ($\Psi$), they are defined as the ratio of the particle-level quantity to the detector-level quantity as de-
<figure><img src="image_11.png" /></figure>

<figure><img src="image_12.png" /><figcaption>**Fig. 8** Dependence of the b-jet (top) and light-jet (bottom) shapes on the jet transverse momentum. This dependence is quantified by plotting the mean value $\langle 1 - \Psi(r = 0.2) \rangle$ (the fraction of energy in the outer half of the jet cone) as a function of $p_T$ for jets in the single-lepton sample.</figcaption></figure>

<figure><img src="image_13.png" /></figure>

<figure><img src="image_14.png" /><figcaption>**Fig. 9** Dependence of the b-jet (top) and light-jet (bottom) shape on the jet pseudorapidity. This dependence is quantified by plotting the mean value $\langle 1 - \Psi(r = 0.2) \rangle$ (the fraction of energy in the outer half of the jet cone) as a function of $|\eta|$ for jets in the single-lepton sample.</figcaption></figure>

scribed by the MC simulations discussed in Sect. 3, i.e.

$$F_{1,b}^{\rho}(r) = \frac{\langle \rho(r)_{1,b} \rangle_{\text{MC,part}}}{\langle \rho(r)_{1,b} \rangle_{\text{MC,det}}} \qquad (6)$$

$$F_{1,b}^{\psi}(r) = \frac{\langle \Psi(r)_{1,b} \rangle_{\text{MC,part}}}{\langle \Psi(r)_{1,b} \rangle_{\text{MC,det}}} \qquad (7)$$

While the detector-level MC includes the background sources described before, the particle-level jets are built using all particles in the signal sample with an average lifetime above $10^{-11}$s, excluding muons and neutrinos. The results have only a small sensitivity to the inclusion or not of muons and neutrinos, as well as to the background estimation. For particle-level b-jets, a b-hadron with $p_T > 5$ GeV is required to be closer than $\Delta R = 0.3$ from the jet axis, while for light jets, a selection equivalent to that for the detector-level jets is applied, selecting the non-b-jet pair with invariant mass closest to $m_W$. The same kinematic selection criteria are applied to these particle-level jets as for the reconstructed jets, namely $p_T > 25$ GeV, $|\eta| < 2.5$ and $\Delta R > 0.8$ to avoid jet-jet overlaps.

A Bayesian iterative unfolding approach [64] is used as a cross-check. The RooUnfold software [65] is used by providing the jet-by-jet information on the jet shapes, in the $p_T$ intervals defined above. This method takes into account bin-by-bin migrations in the $\rho(r)$ and $\Psi(r)$ distributions for fixed values of $r$. The results of the bin-by-bin and the Bayesian unfolding procedures agree at the 2% level.

As an additional check of the stability of the unfolding procedure, the directly unfolded integrated jet shapes are compared with those obtained from integrating the unfolded differential distributions. The results agree to better than 1%. These results are reassuring since the differential and integrated jet shapes are subject to migration and resolution effects in different ways. Both quantities are also subject to bin-to-bin correlations. For the differential measurement, the correlations arise from the common normalisation. They increase with the jet transverse momentum, varying from 25% to 50% at their maximum, which is reached for neighbouring bins at low $r$. The correlations for the integrated
<figure><img src="image_15.png" /><figcaption>**Fig. 10** Average values of the differential jet shapes $\langle\rho(r)\rangle$ for light jets (triangles) and b-jets (squares), with $\Delta r = 0.04$, as a function of $r$ at the detector level, compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators. The uncertainties shown for data are only statistical.</figcaption></figure>

<figure><img src="image_16.png" /><figcaption>**Fig. 11** Average values of the integrated jet shapes $\langle\Psi(r)\rangle$ for light jets (triangles) and b-jets (squares), with $\Delta r = 0.04$, as a function of $r$ at the detector level, compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators. The uncertainties shown for data are only statistical.</figcaption></figure>

measurement are greater and their maximum varies from 60% to 75% as the jet $p_T$ increases.

# 10 Systematic uncertainties

The main sources of systematic uncertainty are described below.

- The energy of individual clusters inside the jet is varied according to studies using isolated tracks [67], parameterising the uncertainty on the calorimeter energy measurements as a function of the cluster $p_T$. The impact on the differential jet shape increases from 2% to 10% as the edge of the jet cone is approached.

- The coordinates $\eta, \phi$ of the clusters are smeared using a Gaussian distribution with an RMS width of 5 mrad accounting for small differences in the cluster position

between data and Monte Carlo [66]. This smearing has an effect on the jet shape which is smaller than 2%.

- An uncertainty arising from the amount of passive material in the detector is derived using the algorithm described in Ref. [66] as a result of the studies carried out in Ref. [67]. Low-energy clusters ($E < 2.5$ GeV) are removed from the reconstruction according to a probability function given by $\mathcal{P}(E=0) \times e^{-2E}$, where $\mathcal{P}(E=0)$ is the measured probability (28%) of a charged particle track to be associated with a zero energy deposit in the calorimeter and $E$ is the cluster energy in GeV. As a result, approximately 6% of the total number of clusters are discarded. The impact of this cluster-removing algorithm on the measured jet shapes is smaller than 2%.

- As a further cross-check an unfolding of the track-based jet shapes to the particle level has also been performed. The differences from those obtained using calorimetric measurements are of a similar scale to the ones discussed
for the cluster energy, angular smearing and dead material.

- An uncertainty arising from the jet energy calibration (JES) is taken into account by varying the jet energy scale in the range 2% to 8% of the measured value, depending on the jet $p_T$ and $\eta$. This variation is different for light jets and b-jets since they have a different particle composition.

- The jet energy resolution is also taken into account by smearing the jet $p_T$ using a Gaussian centred at unity and with standard deviation $\sigma_r$ [68]. The impact on the measured jet shapes is about 5%.

- The uncertainty due to the JVF requirement is estimated by comparing the jet shapes with and without this requirement. The uncertainty is smaller than 1%.

- An uncertainty is also assigned to take pile-up effects into account. This is done by calculating the differences between samples where the number of $pp$ interaction vertices is smaller (larger) than five and the total sample. The impact on the differential jet shapes varies from 2% to 10% as $r$ increases.

- An additional uncertainty due to the unfolding method is determined by comparing the correction factors obtained with three different MC samples, POWHEG + PYTHIA, POWHEG + JIMMY and ACERMC [35] with the PERUGIA 2010 tune [36], to the nominal correction factors from the MC@NLO sample. The uncertainty is defined as the maximum deviation of these three unfolding results, and it varies from 1% to 8%.

Additional systematic uncertainties associated with details of the analysis such as the working point of the b-tagging algorithm and the $\Delta R > 0.8$ cut between jets, as well as those related to physics object reconstruction efficiencies and variations in the background normalisation are found to be negligible. All sources of systematic uncertainty are propagated through the unfolding procedure. The resulting systematic uncertainties on each differential or integrated shape are added in quadrature. In the case of differential jet shapes, the uncertainty varies from 1% to 20% in each $p_T$ bin as $r$ increases, while the uncertainty for the integrated shapes decreases from 10% to 0% as one approaches the edge of the jet cone, where $r = R$.

## 11 Discussion of the results

The results at the particle level are presented, together with the total uncertainties arising from statistical and systematic effects. The averaged differential jet shapes $\langle\rho(r)\rangle$ are shown in the even-numbered Figs. 12–20 as a function of $r$ and in bins of $p_T$, while numerical results are presented in the odd-numbered Tables 5–13. The observation made at the detector level in Sect. 8 that b-jets are broader than light

jets is strengthened after unfolding because it also corrects the light-jet sample for purity effects. Similarly, the odd-numbered Figs. 13–21 show the integrated shapes $\langle\Psi(r)\rangle$ as a function of $r$ and in bins of $p_T$ for light jets and b-jets. Numerical results are presented in the even-numbered Tables 6–14. As before, the observation is made that b-jets have a wider energy distribution inside the jet cone than light jets, as it can be seen that $\langle\Psi_b\rangle < \langle\Psi\rangle$ for low $p_T$ and small $r$. These observations are in agreement with the MC calculations, where top-quark pair-production cross sections are implemented using matrix elements calculated to NLO accuracy, which are then supplemented by angular- or transverse momentum-ordered parton showers. Within this context, both MC@NLO and POWHEG+PYTHIA give a good description of the data, as illustrated in Fig. 12–21.

Comparisons with other MC approaches have been made (see Fig. 22). The PERUGIA 2011 tune, coupled to ALPGEN+PYTHIA, POWHEG+PYTHIA and ACERMC+PYTHIA, has been compared to the data, and found to be slightly disfavoured. The ACERMC generator [35] coupled to PYTHIA for the parton shower and with the PERUGIA 2010 tune [36] gives a somewhat better description of the data, as does the ALPGEN [39] generator coupled to HERWIG.

ACERMC coupled to TUNE A PRO [69, 70] is found to give the best description of the data within the tunes investigated. Colour reconnection effects, as implemented in TUNE A CR PRO [69, 70] have a small impact on this observable, compared to the systematic uncertainties.

Since jet shapes are dependent on the method chosen to match parton showers to the matrix-element calculations and, to a lesser extent, on the fragmentation and underlying-event modelling, the measurements presented here provide valuable inputs to constrain present and future MC models of colour radiation in $t\bar{t}$ final states.

MC generators predict jet shapes to depend on the hard scattering process. MC studies were carried out and it was found that inclusive b-jet shapes, obtained from the underlying hard processes $gg \to b\bar{b}$ and $gb \to gb$ with gluon splitting $g \to b\bar{b}$ included in the subsequent parton shower, are wider than those obtained in the $t\bar{t}$ final states. The differences are interpreted as due to the different colour flows in the two different final states i.e. $t\bar{t}$ and inclusive multi-jet production. Similar differences are also found for light-jet shapes, with jets generated in inclusive multi-jet samples being wider than those from W-boson decays in top-quark pair-production.

## 12 Summary

The structure of jets in $t\bar{t}$ final states has been studied in both the dilepton and single-lepton modes using the ATLAS detector at the LHC. The first sample proves to be a very clean and copious source of b-jets, as the top-quark decays predominantly via $t \to Wb$. The second is also a clean source
of light jets produced in the hadronic decays of one of the W bosons in the final state. The differences between the b-quark and light-quark jets obtained in this environment have been studied in terms of the differential jet shapes $\rho(r)$ and integrated jet shapes $\Psi(r)$. These variables exhibit a marked (mild) dependence on the jet transverse momentum (pseudorapidity).

The results show that the mean value $\langle\Psi(r)\rangle$ is smaller for b-jets than for light jets in the region where it is possible to distinguish them, i.e. for low values of the jet internal radius $r$. This means that b-jets are broader than light-quark jets, and therefore the cores of light jets have a larger energy density than those of b-jets. The jet shapes are well reproduced by current MC generators for both light and b-jets.

**Acknowledgements** We thank CERN for the very successful operation of the LHC, as well as the support staff from our institutions without whom ATLAS could not be operated efficiently.

We acknowledge the support of ANPCyT, Argentina; YerPhI, Argentina; ARC, Australia; BMWF and FWF, Austria; ANAS, Azerbaijan; SSTC, Belarus; CNPq and FAPESP, Brazil; NSERC, NRC and CFI, Canada; CERN; CONICYT, Chile; CAS, MOST and NSFC, China; COLCIENCIAS, Colombia; MSMT CR, MPO CR and VSC CR, Czech Republic; DNRF, DNSRC and Lundbeck Foundation, Denmark; EPLA-NET, ERC and NSRF, European Union; IN2P3-CNRS, CEA-DSM/IRFU, France; GNSF, Georgia; BMBF, DFG, HGF, MPG and AvH Foundation, Germany; GSRT and NSRF, Greece; ISF, MINERVA, GIF, DIP and Benoziyo Center, Israel; INFN, Italy; MEXT and JSPS, Japan; CNRST, Morocco; FOM and NWO, Netherlands; BRF and RCN, Norway; MNiSW, Poland; GRICES and FCT, Portugal; MERTS (MECTS), Romania; MES of Russia and ROSATOM, Russian Federation; JINR; MSTD, Serbia; MSSR, Slovakia; ARRS and MIZŠ, Slovenia; DST/NRF, South Africa; MICINN, Spain; SRC and Wallenberg Foundation, Sweden; SER, SNSF and Cantons of Bern and Geneva, Switzerland; NSC, Taiwan; TAEK, Turkey; STFC, the Royal Society and Leverhulme Trust, United Kingdom; DOE and NSF, United States of America.

The crucial computing support from all WLCG partners is acknowledged gratefully, in particular from CERN and the ATLAS Tier-1 facilities at TRIUMF (Canada), NDGF (Denmark, Norway, Sweden), CC-IN2P3 (France), KIT/GridKA (Germany), INFN-CNAF (Italy), NL-T1 (Netherlands), PIC (Spain), ASGC (Taiwan), RAL (UK) and BNL (USA) and in the Tier-2 facilities worldwide.
<figure><img src="image_17.png" /><figcaption>**Fig. 12** Differential jet shapes $\langle\rho(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for $30 \text{ GeV} < p_T < 40 \text{ GeV}$. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<figure><img src="image_18.png" /><figcaption>**Fig. 13** Integrated jet shapes $\langle\Psi(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for $30 \text{ GeV} < p_T < 40 \text{ GeV}$. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<table><caption>**Table 5** Unfolded values for $\langle\rho(r)\rangle$, together with statistical and systematic uncertainties for $30 \text{ GeV} < p_T < 40 \text{ GeV}$.</caption><thead><tr><th>r</th><th>⟨ρ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨ρ<sub>l</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.02</td><td>3.84 ± 0.15<sup>+0.29</sup><sub>-0.36</sub></td><td>7.64 ± 0.27<sup>+0.93</sup><sub>-1.10</sub></td></tr><tr><td>0.06</td><td>6.06 ± 0.14<sup>+0.31</sup><sub>-0.36</sub></td><td>6.10 ± 0.16<sup>+0.48</sup><sub>-0.47</sub></td></tr><tr><td>0.10</td><td>5.20 ± 0.11<sup>+0.24</sup><sub>-0.23</sub></td><td>3.75 ± 0.10<sup>+0.32</sup><sub>-0.33</sub></td></tr><tr><td>0.14</td><td>3.45 ± 0.09<sup>+0.12</sup><sub>-0.13</sub></td><td>2.28 ± 0.07<sup>+0.14</sup><sub>-0.16</sub></td></tr><tr><td>0.18</td><td>2.21 ± 0.06<sup>+0.13</sup><sub>-0.11</sub></td><td>1.50 ± 0.05<sup>+0.14</sup><sub>-0.12</sub></td></tr><tr><td>0.22</td><td>1.58 ± 0.04<sup>+0.10</sup><sub>-0.11</sub></td><td>1.08 ± 0.03<sup>+0.09</sup><sub>-0.10</sub></td></tr><tr><td>0.26</td><td>1.15 ± 0.03<sup>+0.13</sup><sub>-0.13</sub></td><td>0.83 ± 0.03<sup>+0.11</sup><sub>-0.09</sub></td></tr><tr><td>0.30</td><td>0.80 ± 0.02<sup>+0.08</sup><sub>-0.07</sub></td><td>0.64 ± 0.02<sup>+0.07</sup><sub>-0.08</sub></td></tr><tr><td>0.34</td><td>0.60 ± 0.01<sup>+0.06</sup><sub>-0.06</sub></td><td>0.53 ± 0.01<sup>+0.07</sup><sub>-0.08</sub></td></tr><tr><td>0.38</td><td>0.32 ± 0.01<sup>+0.04</sup><sub>-0.04</sub></td><td>0.28 ± 0.01<sup>+0.04</sup><sub>-0.04</sub></td></tr></tbody></table>

<table><caption>**Table 6** Unfolded values for $\langle\Psi(r)\rangle$, together with statistical and systematic uncertainties for $30 \text{ GeV} < p_T < 40 \text{ GeV}$.</caption><thead><tr><th>r</th><th>⟨Ψ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨Ψ<sub>l</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.04</td><td>0.154 ± 0.006<sup>+0.012</sup><sub>-0.014</sub></td><td>0.306 ± 0.011<sup>+0.037</sup><sub>-0.043</sub></td></tr><tr><td>0.08</td><td>0.395 ± 0.007<sup>+0.023</sup><sub>-0.028</sub></td><td>0.550 ± 0.009<sup>+0.031</sup><sub>-0.037</sub></td></tr><tr><td>0.12</td><td>0.602 ± 0.006<sup>+0.025</sup><sub>-0.026</sub></td><td>0.706 ± 0.007<sup>+0.028</sup><sub>-0.034</sub></td></tr><tr><td>0.16</td><td>0.739 ± 0.004<sup>+0.025</sup><sub>-0.025</sub></td><td>0.802 ± 0.005<sup>+0.025</sup><sub>-0.030</sub></td></tr><tr><td>0.20</td><td>0.825 ± 0.003<sup>+0.020</sup><sub>-0.023</sub></td><td>0.863 ± 0.004<sup>+0.020</sup><sub>-0.025</sub></td></tr><tr><td>0.24</td><td>0.887 ± 0.003<sup>+0.016</sup><sub>-0.017</sub></td><td>0.907 ± 0.003<sup>+0.016</sup><sub>-0.019</sub></td></tr><tr><td>0.28</td><td>0.934 ± 0.002<sup>+0.012</sup><sub>-0.012</sub></td><td>0.942 ± 0.002<sup>+0.011</sup><sub>-0.014</sub></td></tr><tr><td>0.32</td><td>0.964 ± 0.001<sup>+0.007</sup><sub>-0.007</sub></td><td>0.967 ± 0.001<sup>+0.007</sup><sub>-0.008</sub></td></tr><tr><td>0.36</td><td>0.988 ± 0.001<sup>+0.004</sup><sub>-0.002</sub></td><td>0.989 ± 0.001<sup>+0.003</sup><sub>-0.003</sub></td></tr><tr><td>0.40</td><td>1.000</td><td>1.000</td></tr></tbody></table>
<figure><img src="image_19.png" /><figcaption>**Fig. 14** Differential jet shapes $\langle\rho(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for 40 GeV < $p_T$ < 50 GeV. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<figure><img src="image_20.png" /><figcaption>**Fig. 15** Integrated jet shapes $\langle\Psi(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for 40 GeV < $p_T$ < 50 GeV. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<table><caption>**Table 7** Unfolded values for $\langle\rho(r)\rangle$, together with statistical and systematic uncertainties for 40 GeV < $p_T$ < 50 GeV.</caption><thead><tr><th>r</th><th>⟨ρ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨ρ<sub>1</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.02</td><td>4.66 ± 0.15<sup>+0.58</sup><sub>-0.61</sub></td><td>9.39 ± 0.34<sup>+1.10</sup><sub>-1.10</sub></td></tr><tr><td>0.06</td><td>7.23 ± 0.14<sup>+0.33</sup><sub>-0.35</sub></td><td>6.14 ± 0.17<sup>+0.44</sup><sub>-0.43</sub></td></tr><tr><td>0.10</td><td>5.22 ± 0.11<sup>+0.25</sup><sub>-0.28</sub></td><td>3.27 ± 0.10<sup>+0.27</sup><sub>-0.27</sub></td></tr><tr><td>0.14</td><td>3.12 ± 0.07<sup>+0.15</sup><sub>-0.15</sub></td><td>1.85 ± 0.07<sup>+0.16</sup><sub>-0.12</sub></td></tr><tr><td>0.18</td><td>1.83 ± 0.05<sup>+0.15</sup><sub>-0.17</sub></td><td>1.28 ± 0.05<sup>+0.11</sup><sub>-0.11</sub></td></tr><tr><td>0.22</td><td>1.12 ± 0.03<sup>+0.06</sup><sub>-0.06</sub></td><td>0.95 ± 0.04<sup>+0.10</sup><sub>-0.11</sub></td></tr><tr><td>0.26</td><td>0.83 ± 0.02<sup>+0.10</sup><sub>-0.09</sub></td><td>0.69 ± 0.03<sup>+0.08</sup><sub>-0.05</sub></td></tr><tr><td>0.30</td><td>0.59 ± 0.02<sup>+0.06</sup><sub>-0.06</sub></td><td>0.56 ± 0.02<sup>+0.05</sup><sub>-0.05</sub></td></tr><tr><td>0.34</td><td>0.46 ± 0.01<sup>+0.05</sup><sub>-0.05</sub></td><td>0.41 ± 0.01<sup>+0.04</sup><sub>-0.04</sub></td></tr><tr><td>0.38</td><td>0.26 ± 0.01<sup>+0.03</sup><sub>-0.03</sub></td><td>0.23 ± 0.01<sup>+0.03</sup><sub>-0.03</sub></td></tr></tbody></table>

<table><caption>**Table 8** Unfolded values for $\langle\Psi(r)\rangle$, together with statistical and systematic uncertainties for 40 GeV < $p_T$ < 50 GeV.</caption><thead><tr><th>r</th><th>⟨Ψ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨Ψ<sub>1</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.04</td><td>0.187 ± 0.006<sup>+0.023</sup><sub>-0.024</sub></td><td>0.376 ± 0.013<sup>+0.044</sup><sub>-0.043</sub></td></tr><tr><td>0.08</td><td>0.475 ± 0.007<sup>+0.033</sup><sub>-0.034</sub></td><td>0.621 ± 0.011<sup>+0.032</sup><sub>-0.034</sub></td></tr><tr><td>0.12</td><td>0.683 ± 0.005<sup>+0.027</sup><sub>-0.029</sub></td><td>0.757 ± 0.008<sup>+0.025</sup><sub>-0.027</sub></td></tr><tr><td>0.16</td><td>0.805 ± 0.004<sup>+0.023</sup><sub>-0.025</sub></td><td>0.832 ± 0.006<sup>+0.021</sup><sub>-0.022</sub></td></tr><tr><td>0.20</td><td>0.876 ± 0.003<sup>+0.017</sup><sub>-0.018</sub></td><td>0.885 ± 0.004<sup>+0.017</sup><sub>-0.018</sub></td></tr><tr><td>0.24</td><td>0.918 ± 0.002<sup>+0.015</sup><sub>-0.016</sub></td><td>0.925 ± 0.003<sup>+0.012</sup><sub>-0.014</sub></td></tr><tr><td>0.28</td><td>0.950 ± 0.002<sup>+0.010</sup><sub>-0.011</sub></td><td>0.953 ± 0.002<sup>+0.010</sup><sub>-0.011</sub></td></tr><tr><td>0.32</td><td>0.973 ± 0.001<sup>+0.007</sup><sub>-0.006</sub></td><td>0.976 ± 0.001<sup>+0.006</sup><sub>-0.006</sub></td></tr><tr><td>0.36</td><td>0.990 ± 0.001<sup>+0.003</sup><sub>-0.002</sub></td><td>0.992 ± 0.001<sup>+0.003</sup><sub>-0.003</sub></td></tr><tr><td>0.40</td><td>1.000</td><td>1.000</td></tr></tbody></table>
<figure><img src="image_21.png" /><figcaption>**Fig. 16** Differential jet shapes $\langle\rho(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for $50 \text{ GeV} < p_T < 70 \text{ GeV}$. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<figure><img src="image_22.png" /><figcaption>**Fig. 17** Integrated jet shapes $\langle\Psi(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for $50 \text{ GeV} < p_T < 70 \text{ GeV}$. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<table><caption>**Table 9** Unfolded values for $\langle\rho(r)\rangle$, together with statistical and systematic uncertainties for $50 \text{ GeV} < p_T < 70 \text{ GeV}$.</caption><thead><tr><th>r</th><th>⟨ρ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨ρ<sub>l</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.02</td><td>6.19 ± 0.13<sup>+0.46</sup><sub>-0.44</sub></td><td>10.82 ± 0.31<sup>+0.64</sup><sub>-0.84</sub></td></tr><tr><td>0.06</td><td>8.14 ± 0.11<sup>+0.27</sup><sub>-0.29</sub></td><td>6.17 ± 0.14<sup>+0.45</sup><sub>-0.44</sub></td></tr><tr><td>0.10</td><td>4.62 ± 0.06<sup>+0.17</sup><sub>-0.18</sub></td><td>2.92 ± 0.08<sup>+0.14</sup><sub>-0.15</sub></td></tr><tr><td>0.14</td><td>2.50 ± 0.04<sup>+0.20</sup><sub>-0.21</sub></td><td>1.56 ± 0.05<sup>+0.05</sup><sub>-0.06</sub></td></tr><tr><td>0.18</td><td>1.40 ± 0.03<sup>+0.11</sup><sub>-0.10</sub></td><td>1.04 ± 0.04<sup>+0.08</sup><sub>-0.08</sub></td></tr><tr><td>0.22</td><td>0.87 ± 0.02<sup>+0.05</sup><sub>-0.04</sub></td><td>0.75 ± 0.03<sup>+0.05</sup><sub>-0.05</sub></td></tr><tr><td>0.26</td><td>0.60 ± 0.01<sup>+0.05</sup><sub>-0.04</sub></td><td>0.54 ± 0.02<sup>+0.07</sup><sub>-0.06</sub></td></tr><tr><td>0.30</td><td>0.45 ± 0.01<sup>+0.04</sup><sub>-0.04</sub></td><td>0.44 ± 0.01<sup>+0.05</sup><sub>-0.04</sub></td></tr><tr><td>0.34</td><td>0.36 ± 0.01<sup>+0.04</sup><sub>-0.04</sub></td><td>0.34 ± 0.01<sup>+0.04</sup><sub>-0.05</sub></td></tr><tr><td>0.38</td><td>0.21 ± 0.00<sup>+0.03</sup><sub>-0.03</sub></td><td>0.23 ± 0.01<sup>+0.03</sup><sub>-0.04</sub></td></tr></tbody></table>

<table><caption>**Table 10** Unfolded values for $\langle\Psi(r)\rangle$, together with statistical and systematic uncertainties for $50 \text{ GeV} < p_T < 70 \text{ GeV}$.</caption><thead><tr><th>r</th><th>⟨Ψ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨Ψ<sub>l</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.04</td><td>0.248 ± 0.005<sup>+0.019</sup><sub>-0.018</sub></td><td>0.433 ± 0.012<sup>+0.026</sup><sub>-0.034</sub></td></tr><tr><td>0.08</td><td>0.573 ± 0.005<sup>+0.024</sup><sub>-0.023</sub></td><td>0.686 ± 0.009<sup>+0.020</sup><sub>-0.024</sub></td></tr><tr><td>0.12</td><td>0.753 ± 0.004<sup>+0.025</sup><sub>-0.025</sub></td><td>0.807 ± 0.006<sup>+0.017</sup><sub>-0.019</sub></td></tr><tr><td>0.16</td><td>0.851 ± 0.003<sup>+0.019</sup><sub>-0.018</sub></td><td>0.868 ± 0.004<sup>+0.017</sup><sub>-0.019</sub></td></tr><tr><td>0.20</td><td>0.905 ± 0.002<sup>+0.015</sup><sub>-0.015</sub></td><td>0.909 ± 0.003<sup>+0.014</sup><sub>-0.016</sub></td></tr><tr><td>0.24</td><td>0.938 ± 0.001<sup>+0.012</sup><sub>-0.013</sub></td><td>0.939 ± 0.002<sup>+0.012</sup><sub>-0.014</sub></td></tr><tr><td>0.28</td><td>0.961 ± 0.001<sup>+0.008</sup><sub>-0.009</sub></td><td>0.960 ± 0.002<sup>+0.008</sup><sub>-0.009</sub></td></tr><tr><td>0.32</td><td>0.978 ± 0.001<sup>+0.005</sup><sub>-0.005</sub></td><td>0.977 ± 0.001<sup>+0.006</sup><sub>-0.006</sub></td></tr><tr><td>0.36</td><td>0.992 ± 0.000<sup>+0.003</sup><sub>-0.002</sub></td><td>0.990 ± 0.001<sup>+0.003</sup><sub>-0.003</sub></td></tr><tr><td>0.40</td><td>1.000</td><td>1.000</td></tr></tbody></table>
<figure><img src="image_23.png" /><figcaption>**Fig. 18** Differential jet shapes $\langle\rho(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for $70 \text{ GeV} < p_T < 100 \text{ GeV}$. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<figure><img src="image_24.png" /><figcaption>**Fig. 19** Integrated jet shapes $\langle\Psi(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for $70 \text{ GeV} < p_T < 100 \text{ GeV}$. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<table><caption>**Table 11** Unfolded values for $\langle\rho(r)\rangle$, together with statistical and systematic uncertainties for $70 \text{ GeV} < p_T < 100 \text{ GeV}$.</caption><thead><tr><th>r</th><th>⟨ρ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨ρ<sub>1</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.02</td><td>8.98 ± 0.15<sup>+0.55</sup><sub>-0.54</sub></td><td>12.37 ± 0.38<sup>+0.93</sup><sub>-1.10</sub></td></tr><tr><td>0.06</td><td>8.14 ± 0.10<sup>+0.17</sup><sub>-0.17</sub></td><td>5.44 ± 0.16<sup>+0.38</sup><sub>-0.39</sub></td></tr><tr><td>0.10</td><td>3.80 ± 0.05<sup>+0.25</sup><sub>-0.25</sub></td><td>2.42 ± 0.08<sup>+0.18</sup><sub>-0.21</sub></td></tr><tr><td>0.14</td><td>1.74 ± 0.03<sup>+0.10</sup><sub>-0.10</sub></td><td>1.52 ± 0.06<sup>+0.11</sup><sub>-0.13</sub></td></tr><tr><td>0.18</td><td>1.00 ± 0.02<sup>+0.03</sup><sub>-0.03</sub></td><td>0.89 ± 0.04<sup>+0.05</sup><sub>-0.05</sub></td></tr><tr><td>0.22</td><td>0.66 ± 0.01<sup>+0.04</sup><sub>-0.04</sub></td><td>0.68 ± 0.03<sup>+0.05</sup><sub>-0.04</sub></td></tr><tr><td>0.26</td><td>0.47 ± 0.01<sup>+0.03</sup><sub>-0.03</sub></td><td>0.45 ± 0.02<sup>+0.05</sup><sub>-0.04</sub></td></tr><tr><td>0.30</td><td>0.34 ± 0.01<sup>+0.03</sup><sub>-0.03</sub></td><td>0.38 ± 0.02<sup>+0.04</sup><sub>-0.04</sub></td></tr><tr><td>0.34</td><td>0.26 ± 0.01<sup>+0.03</sup><sub>-0.03</sub></td><td>0.28 ± 0.01<sup>+0.03</sup><sub>-0.03</sub></td></tr><tr><td>0.38</td><td>0.17 ± 0.00<sup>+0.02</sup><sub>-0.02</sub></td><td>0.18 ± 0.01<sup>+0.03</sup><sub>-0.03</sub></td></tr></tbody></table>

<table><caption>**Table 12** Unfolded values for $\langle\Psi(r)\rangle$, together with statistical and systematic uncertainties for $70 \text{ GeV} < p_T < 100 \text{ GeV}$.</caption><thead><tr><th>r</th><th>⟨Ψ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨Ψ<sub>1</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.04</td><td>0.359 ± 0.006<sup>+0.022</sup><sub>-0.021</sub></td><td>0.495 ± 0.015<sup>+0.037</sup><sub>-0.042</sub></td></tr><tr><td>0.08</td><td>0.678 ± 0.005<sup>+0.023</sup><sub>-0.023</sub></td><td>0.718 ± 0.010<sup>+0.032</sup><sub>-0.037</sub></td></tr><tr><td>0.12</td><td>0.827 ± 0.003<sup>+0.017</sup><sub>-0.018</sub></td><td>0.818 ± 0.007<sup>+0.019</sup><sub>-0.021</sub></td></tr><tr><td>0.16</td><td>0.891 ± 0.002<sup>+0.012</sup><sub>-0.013</sub></td><td>0.883 ± 0.005<sup>+0.012</sup><sub>-0.014</sub></td></tr><tr><td>0.20</td><td>0.928 ± 0.002<sup>+0.011</sup><sub>-0.012</sub></td><td>0.919 ± 0.004<sup>+0.010</sup><sub>-0.011</sub></td></tr><tr><td>0.24</td><td>0.954 ± 0.001<sup>+0.009</sup><sub>-0.009</sub></td><td>0.947 ± 0.003<sup>+0.008</sup><sub>-0.009</sub></td></tr><tr><td>0.28</td><td>0.972 ± 0.001<sup>+0.006</sup><sub>-0.007</sub></td><td>0.965 ± 0.002<sup>+0.007</sup><sub>-0.008</sub></td></tr><tr><td>0.32</td><td>0.984 ± 0.001<sup>+0.004</sup><sub>-0.004</sub></td><td>0.981 ± 0.001<sup>+0.004</sup><sub>-0.005</sub></td></tr><tr><td>0.36</td><td>0.993 ± 0.000<sup>+0.002</sup><sub>-0.002</sub></td><td>0.992 ± 0.001<sup>+0.002</sup><sub>-0.002</sub></td></tr><tr><td>0.40</td><td>1.000</td><td>1.000</td></tr></tbody></table>
<figure><img src="image_25.png" /><figcaption>**Fig. 20** Differential jet shapes $\langle\rho(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for 100 GeV < $p_T$ < 150 GeV. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<figure><img src="image_26.png" /><figcaption>**Fig. 21** Integrated jet shapes $\langle\Psi(r)\rangle$ as a function of the radius $r$ for light jets (triangles) and b-jets (squares). The data are compared to MC@NLO+HERWIG and POWHEG+PYTHIA event generators for 100 GeV < $p_T$ < 150 GeV. The uncertainties shown include statistical and systematic sources, added in quadrature.</figcaption></figure>

<table><caption>**Table 13** Unfolded values for $\langle\rho(r)\rangle$, together with statistical and systematic uncertainties for 100 GeV < $p_T$ < 150 GeV.</caption><thead><tr><th>r</th><th>⟨ρ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨ρ<sub>l</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.02</td><td>11.48 ± 0.20<sup>+0.71</sup><sub>-0.74</sub></td><td>13.89 ± 0.54<sup>+1.60</sup><sub>-1.70</sub></td></tr><tr><td>0.06</td><td>7.08 ± 0.11<sup>+0.24</sup><sub>-0.25</sub></td><td>4.68 ± 0.20<sup>+0.50</sup><sub>-0.37</sub></td></tr><tr><td>0.10</td><td>2.94 ± 0.05<sup>+0.23</sup><sub>-0.23</sub></td><td>2.31 ± 0.11<sup>+0.28</sup><sub>-0.29</sub></td></tr><tr><td>0.14</td><td>1.37 ± 0.03<sup>+0.06</sup><sub>-0.06</sub></td><td>1.27 ± 0.07<sup>+0.09</sup><sub>-0.10</sub></td></tr><tr><td>0.18</td><td>0.85 ± 0.02<sup>+0.05</sup><sub>-0.05</sub></td><td>0.74 ± 0.05<sup>+0.08</sup><sub>-0.07</sub></td></tr><tr><td>0.22</td><td>0.58 ± 0.02<sup>+0.04</sup><sub>-0.03</sub></td><td>0.58 ± 0.05<sup>+0.12</sup><sub>-0.10</sub></td></tr><tr><td>0.26</td><td>0.39 ± 0.01<sup>+0.03</sup><sub>-0.02</sub></td><td>0.39 ± 0.03<sup>+0.08</sup><sub>-0.06</sub></td></tr><tr><td>0.30</td><td>0.29 ± 0.01<sup>+0.02</sup><sub>-0.02</sub></td><td>0.31 ± 0.02<sup>+0.04</sup><sub>-0.03</sub></td></tr><tr><td>0.34</td><td>0.21 ± 0.01<sup>+0.02</sup><sub>-0.02</sub></td><td>0.24 ± 0.01<sup>+0.03</sup><sub>-0.04</sub></td></tr><tr><td>0.38</td><td>0.14 ± 0.00<sup>+0.02</sup><sub>-0.02</sub></td><td>0.15 ± 0.01<sup>+0.02</sup><sub>-0.02</sub></td></tr></tbody></table>

<table><caption>**Table 14** Unfolded values for $\langle\Psi(r)\rangle$, together with statistical and systematic uncertainties for 100 GeV < $p_T$ < 150 GeV.</caption><thead><tr><th>r</th><th>⟨Ψ<sub>b</sub>(r)⟩ [b-jets]</th><th>⟨Ψ<sub>l</sub>(r)⟩ [light jets]</th></tr></thead><tbody><tr><td>0.04</td><td>0.459 ± 0.008<sup>+0.028</sup><sub>-0.030</sub></td><td>0.556 ± 0.022<sup>+0.062</sup><sub>-0.067</sub></td></tr><tr><td>0.08</td><td>0.734 ± 0.005<sup>+0.019</sup><sub>-0.020</sub></td><td>0.743 ± 0.014<sup>+0.033</sup><sub>-0.036</sub></td></tr><tr><td>0.12</td><td>0.852 ± 0.004<sup>+0.013</sup><sub>-0.012</sub></td><td>0.843 ± 0.010<sup>+0.021</sup><sub>-0.017</sub></td></tr><tr><td>0.16</td><td>0.904 ± 0.002<sup>+0.010</sup><sub>-0.010</sub></td><td>0.898 ± 0.007<sup>+0.017</sup><sub>-0.014</sub></td></tr><tr><td>0.20</td><td>0.937 ± 0.002<sup>+0.008</sup><sub>-0.008</sub></td><td>0.928 ± 0.005<sup>+0.014</sup><sub>-0.011</sub></td></tr><tr><td>0.24</td><td>0.960 ± 0.001<sup>+0.006</sup><sub>-0.006</sub></td><td>0.954 ± 0.003<sup>+0.008</sup><sub>-0.007</sub></td></tr><tr><td>0.28</td><td>0.975 ± 0.001<sup>+0.005</sup><sub>-0.005</sub></td><td>0.970 ± 0.002<sup>+0.006</sup><sub>-0.006</sub></td></tr><tr><td>0.32</td><td>0.986 ± 0.001<sup>+0.003</sup><sub>-0.003</sub></td><td>0.983 ± 0.001<sup>+0.003</sup><sub>-0.003</sub></td></tr><tr><td>0.36</td><td>0.994 ± 0.000<sup>+0.001</sup><sub>-0.001</sub></td><td>0.994 ± 0.001<sup>+0.001</sup><sub>-0.001</sub></td></tr><tr><td>0.40</td><td>1.000</td><td>1.000</td></tr></tbody></table>
<figure><img src="image_27.png" /><figcaption>**Fig. 22** Comparison of the $t\bar{t}$ differential jet shape data for $50 \text{ GeV} < p_T < 70 \text{ GeV}$ with several MC event generators. As stated in the text, ACERMC [35] coupled to PYTHIA [33] with the A PRO and A CR PRO tunes [69, 70] give the best description of the data, while the PERUGIA 2011 [36] tunes are found to be slightly disfavoured. ALPGEN + JIMMY [28, 39] provides an intermediate description.</figcaption></figure>
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J. Cummings¹⁷⁷, M. Curatolo⁴⁷, C.J. Curtis¹⁸, C. Cuthbert¹⁵¹, H. Czirr¹⁴², P. Czodrowski⁴⁴, Z. Czyczula¹⁷⁷, S. D'Auria⁵³, M. D'Onofrio⁷³, A. D'Orazio¹³³a,¹³³b, M.J. Da Cunha Sargedas De Sousa¹²⁵a, C. Da Via⁸³, W. Dabrowski³⁸a, A. Dafinca¹¹⁹, T. Dai⁸⁸, F. Dallaire⁹⁴, C. Dallapiccola⁸⁵, M. Dam³⁶, D.S. Damiani¹³⁸, A.C. Daniells¹⁸, H.O. Danielsson³⁰, V. Dao¹⁰⁵, G. Darbo⁵⁰a, G.L. Darlea²⁶c, S. Darmora⁸, J.A. Dassoulas⁴², W. Davey²¹, T. Davidek¹²⁸, N. Davidson⁸⁷, E. Davies¹¹⁹d, M. Davies⁹⁴, O. Davignon⁷⁹, A.R. Davison⁷⁷, Y. Davygora⁵⁸a, E. Dawe¹⁴³, I. Dawson¹⁴⁰, R.K. Daya-Ishmukhametova²³, K. De⁸, R. de Asmundis¹⁰³a, S. De Castro²⁰a,²⁰b, S. De Cecco⁷⁹, J. de Graat⁹⁹, N. De Groot¹⁰⁵, P. de Jong¹⁰⁶, C. De La Taille¹¹⁶, H. De la Torre⁸¹, F. De Lorenzi⁶³, L. De Nooij¹⁰⁶, D. De Pisid¹³³a, A. De Salvo¹³³a, U. De Sanctis¹⁶⁵a,¹⁶⁵c, A. De Santo¹⁵⁰, J.B. De Vivie De Regie¹¹⁶, G. De Zorzi¹³³a,¹³³b, W.J. Dearnaley⁷¹, R. Debbe²⁵, C. Debenedetti⁴⁶, B. Dechenaux⁵⁵, D.V. Dedovich⁶⁴, J. Degenhardt¹²¹, J. 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M. Miñano Moya168, I.A. Minashvili64, A.I. Mincer109, B. Mindur38a, M. Mineev64, Y. Ming174, L.M. Mir12, G. Mirabelli133a, J. Mitrevski138,
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D. Muenstermann30, Y. Munwes154, J.A. Murillo Quijada18, W.J. Murray130, I. Mussche106, E. Musto153, A.G. Myagkov129,ab, M. Myska126,
O. Nackenhorst54, J. Nadal12, K. Nagai161, R. Nagai158, Y. Nagai84, K. Nagano65, A. Nagarkar110, Y. Nagasaka59, M. Nagel100, A.M. Nairz30,
Y. Nakahama30, K. Nakamura65, T. Nakamura156, I. Nakano111, H. Namasivayam41, G. Nanava21, A. Napier162, R. Narayan58b, M. Nash77,d,
T. Nattermann21, T. Naumann42, G. Navarro163, H.A. Neal88, P.Yu. Nechaeva95, T.J. Neep83, A. Negri120a,120b, G. Negri30, M. Negrini20a,
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R.B. Nickerson119, R. Nicolaidou137, B. Nicquevert30, F. Niedercorn116, J. Nielsen138, N. Nikiforou35, A. Nikiforov16, V. Nikolaenko129,ab,
I. Nikolic-Audit79, K. Nikolics49, K. Nikolopoulos18, P. Nilsson8, Y. Ninomiya156, A. Nisati133a, R. Nisius100, T. Nobe158, L. Nodulman6,
M. Nomachi117, I. Nomidis155, S. Norberg112, M. Nordberg30, J. Novakova128, M. Nozaki65, L. Nozka114, A.-E. Nuncio-Quiroz21,
G. Nunes Hanninger87, T. Nunnemann99, E. Nurse77, B.J. O'Brien46, D.C. O'Neil143, V. O'Shea53, L.B. Oakes99, F.G. Oakham29,e,
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M. Oliveira125a,h, D. Oliveira Damazio25, E. Oliver Garcia168, D. Olivito121, A. Olszewski39, J. Olszowska39, A. Onofre125a,ad
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E. Paganis140, C. Pahl100, F. Paige25, P. Pais85, K. Pajchel118, G. Palacino160b, C.P. Paleari7, S. Palestini30, D. Pallin34, A. Palma125a,
J.D. Palmer18, Y.B. Pan174, E. Panagiotopoulou10, J.G. Panduro Vazquez76, P. Pani106, N. Panikashvili88, S. Panitkin25, D. Pantea26a,
A. Papadelis147a, Th.D. Papadopoulou10, K. Papageorgiou155,o, A. Paramonov6, D. Paredes Hernandez34, W. Park25,af, M.A. Parker28,
F. Parodi50a,50b, J.A. Parsons35, U. Parzefall48, S. Pashapour54, E. Pasqualucci133a, S. Passaggio50a, A. Passeri135a, F. Pastore135a,135b,*,
Fr. Pastore76, G. Szasztor49,ag, S. Pataraia176, N.D. Patel51, J.R. Pater83, S. Patricelli103a,103b, T. Pauly30, J. Pearce170, M. Pedersen118,
S. Pedraza Lopez168, M.I. Pedraza Morales174, S.V. Peleganchuk108, D. Pelikan167, H. Peng33b, B. Penning31, A. Penson35, J. Penwell60,
T. Perez Cavalcanti42, E. Perez Codina160a, M.T. Pérez García-Estan168, V. Perez Reale35, L. Perini90a,90b, H. Pernegger30, R. Perrino72a,
P. Perrodo5, V.D. Peshekhonov64, K. Peters30, R.F.Y. Peters54,ah, B.A. Petersen30, J. Petersen30, T.C. Petersen36, E. Petit5, A. Petridis147a,147b,
C. Petridou155, E. Petrolo133a, F. Petrucci135a,135b, D. Petteni143, R. Pezoa32b, A. Phan87, P.W. Phillips130, G. Piacquadio144,
E. Pianori171, A. Picazio49, E. Piccaro75, M. Piccinini20a,20b, S.M. Piec42, R. Piegaia27, D.T. Pignotti110, J.E. Pilcher31, A.D. Pilkington77,
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E. Plotnikova64, P. Plucinski147a,147b, S. Poddar58a, F. Podlyski34, R. Poettgen82, L. Poggioli116, D. Pohl21, M. Pohl49, G. Polesello120a,
A. Policicchio37a,37b, R. Polifka159, A. Polini20a, D. Polychronakos25, D. Pomeroy23, K. Pommès30, L. Pontecorvo133a, B.G. Pope89,
G.A. Popeneciu26b, D.S. Popovic13a, A. Poppleton30, X. Portell Bueso12, G.E. Pospelov100, S. Pospisil127, I.N. Potrap64, C.J. Potter150,
C.T. Potter115, G. Poulard30, J. Poveda60, V. Pozdnyakov64, R. Prabhu77, P. Pralavorio84, A. Pranko15, S. Prasad30, R. Pravahan25, S. Prell63,
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S. Protopopescu25, J. Proudfoot6, D. Prudent44, M. Przybycien38a, H. Przysznieki5, E. Pueschel85, D. Puldon149,
M. Purohit25,af, P. Puzo116, Y. Pylypchenko62, J. Qian88, A. Quadt54, D.R. Quarrie15, W.B. Quayle174, D. Quilly53, M. Raas105, V. Radeka25,
V. Radescu42, P. Radloff115, F. Ragusa90a,90b, G. Rahal179, S. Rajagopalan25, M. Rammensee48, M. Rammes142, A.S. Randle-Conde40,
K. Randrianarivony29, C. Rangel-Smith79, K. Rao164, F. Rauscher99, T.C. Rave48, T. Ravenscroft53, M. Raymond30, A.L. Read118,
D.M. Rebuzzi120a,120b, A. Redelbach175, G. Redlinger25, R. Reece121, K. Reeves41, A. Reinsch115, I. Reisinger43, M. Reisch164, C. Rembser30,
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F. Rizatdinova113, E. Rizvi75, S.H. Robertson86,j, A. Robichaud-Veronneau119, D. Robinson28, J.E.M. Robinson83, A. Robson53,
J.G. Rocha de Lima107, C. Roda123a,123b, D. Roda Dos Santos30, A. Roe54, S. Roe30, S. Røhne118, S. Rolli162, A. Romaniouk97,
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D. Rousseau116, C.R. Royon137, A. Rozanov84, Y. Rozen153, X. Ruan33a,aj, F. Rubbo12, I. Rubinskiy42, N. Ruckstuhl106, V.I. Rud98,
C. Rudolph44, M.S. Rudolph159, F. Rühr7, A. Ruiz-Martinez63, L. Rumyantsev64, Z. Rurikova48, N.A. Rusakovich64, A. Ruschke99,
J.P. Rutherfoord7, N. Ruthmann48, P. Ruzicka126, Y.F. Ryabov122, M. Rybar128, G. Rybkin116, N.C. Ryder119, A.F. Saavedra151, A. Saddique3,
I. Sadeh154, H.F.-W. Sadrozinski138, R. Sadykov64, F. Safai Tehrani133a, H. Sakamoto156, G. Salamanna75, A. Salamon134a, M. Saleem112,
D. Salek30, D. Salihagic100, A. Salnikov144, J. Salt168, B.M. Salvachua Ferrando6, D. Salvatore37a,37b, F. Salvatore150, A. Salvucci105,
A. Salzburger30, D. Sampsonidis155, A. Sanchez103a,103b, J. Sánchez168, V. Sanchez Martinez168, H. Sandaker14, H.G. Sander82, M.P. Sanders99,
M. Sandhoff176, T. Sandoval28, C. Sandoval163, R. Sandstroem100, D.P.C. Sankey130, A. Sansoni47, C. Santoni34, R. Santonico134a,134b,
H. Santos125a, I. Santoyo Castillo150, K. Sapp124, J.G. Saraiva125a, T. Sarangi174, E. Sarkisyan-Grinbaum8, B. Sarrazin21, F. Sarri123a,123b,
G. Sartisohn176, O. Sasaki65, Y. Sasaki156, N. Sasao67, I. Satsounkevitch91, G. Sauvage5,*, E. Sauvan5, J.B. Sauvan116, P. Savard159,e,
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M. Scarcella151, J. Schaarschmidt116, P. Schacht100, D. Schaefer121, A. Schaelicke46, S. Schaepe21, S. Schaetzel58b, U. Schäfer82,
A.C. Schaffer116, D. Schaile99, R.D. Schamberger149, V. Scharf58a, V.A. Schegelsky122, D. Scheirich88, M. Schernau164, M.I. Scherzer35,
S. Schiavi50a,50b, J. Schieck99, C. Schillo48, M. Schioppa37a,37b, S. Schlenker30, E. Schmidt48, K. Schmieden30, C. Schmitt82, C. Schmitt99,
S. Schmitt58b, B. Schneider17, Y.J. Schnellbach73, U. Schnoor44, L. Schoeffel137, A. Schoening58b, A.L.S. Schorlemmer54, M. Schott82,
D. Schouten160a, J. Schovancova126, M. Schram86, C. Schroeder82, N. Schroer58c, M.J. Schultens21, H.-C. Schultz-Coulon58a, H. Schulz16,
M. Schumacher48, B.A. Schumm138, Ph. Schune137, A. Schwartzman144, Ph. Schwegler100, Ph. Schwemling137, R. Schwienhorst89,
J. Schwindling¹³⁷, T. Schwindt²¹, M. Schwoerer⁵, F.G. Sciacca¹⁷, E. Scifo¹¹⁶, G. Sciolla²³, W.G. Scott¹³⁰, F. Scutti²¹, J. Searcy⁸⁸, G. Sedov⁴², E. Sedykh¹²², S.C. Seidel¹⁰⁴, A. Seiden¹³⁸, F. Seifert⁴⁴, J.M. Seixas²⁴⁴, G. Sekhniaidze¹⁰³a, S.J. Sekula⁴⁰, K.E. Selbach⁴⁶, D.M. Seliverstov¹²², G. Sellers⁷³, M. Seman¹⁴⁵b, N. Semprini-Cesari²⁰a,²⁰b, C. Serfon³⁰, L. Serin¹¹⁶, L. Serkin⁵⁴, T. Serre⁸⁴, R. Seuster¹⁶⁰a, H. Severini¹¹², A. Sfyrla³⁰, E. Shabalina⁵⁴, M. Shamim¹¹⁵, L.Y. Shan³³a, J.T. Shank²², Q.T. Shao⁸⁷, M. Shapiro¹⁵, P.B. Shatalov⁹⁶, K. Shaw¹⁶⁵a,¹⁶⁵c, P. Sherwood⁷⁷, S. Shimizu¹⁰², M. Shimojima¹⁰¹, T. Shin⁵⁶, M. Shiyakova⁶⁴, A. Shmeleva⁹⁵, M.J. Shochet³¹, D. Short¹¹⁹, S. Shrestha⁶³, E. Shulga⁹⁷, M.A. Shupe⁷, P. Sicho¹²⁶, A. Sidoti¹³³a, F. Siegert⁴⁸, Dj. Sijacki¹³a, O. Silbert¹⁷³, J. Silva¹²⁵a, Y. Silver¹⁵⁴, D. Silverstein¹⁴⁴, S.B. Silverstein¹⁴⁷a, V. Simak¹²⁷, O. Simard⁵, Lj. Simic¹³a, S. Simion¹¹⁶, E. Simioni⁸², B. Simmons⁷⁷, R. Simoniello⁹⁰a,⁹⁰b, M. Simonyan³⁶, P. Sinervo¹⁵⁹, N.B. Sinev¹¹⁵, V. Sipica¹⁴², G. Siragusa¹⁷⁵, A. Sircar⁷⁸, A.N. Sisakyan⁶⁴*, S. Yu. Sivoklokov⁹⁸, J. Sjölin¹⁴⁷a,¹⁴⁷b, T.B. Sjursen¹⁴, L.A. Skinnari¹⁵, H.P. Skottowe⁵⁷, K.Yu. Skovpen¹⁰⁸, P. Skubic¹¹², M. Slater¹⁸, T. Slavicek¹²⁷, K. Sliwa¹⁶², V. Smakhtin¹⁷³, B.H. Smart⁴⁶, L. Smestad¹¹⁸, S.Yu. Smirnov⁹⁷, Y. Smirnov⁹⁷, L.N. Smirnova⁹⁸,ak, O. Smirnova⁸⁰, K.M. Smith⁵³, M. Smizanska⁷¹, K. Smolek¹²⁷, A.A. Snesarev⁹⁵, G. Snidero⁷⁵, J. Snow¹¹², S. Snyder²⁵, R. Sobie¹⁷⁰, J., J. Sodomka¹²⁷, A. Soffer¹⁵⁴, D.A. Soh¹⁵², v, C.A. Solans³⁰, M. Solar¹²⁷, J. Solc¹²⁷, E.Yu. Soldatov⁹⁷, U. Soldevila¹⁶⁸, E. Solfaroli Camillocci¹³³a,¹³³b, A.A. Solodkov¹²⁹, O.V. Solovyанov¹²⁹, V. Solovyev¹²², N. Soni¹, A. Sood¹⁵, V. Sopko¹²⁷, B. Sopko¹²⁷, M. Sosebee⁸, R. Soualah¹⁶⁵a,¹⁶⁵c, P. Soueid⁹⁴, A.M. Soukharev¹⁰⁸, D. South⁴², S. Spagnolo⁷²a,⁷²b, F. Spanò⁷⁶, R. Spighi²⁰a, G. Spigo³⁰, R. Spiwoks³⁰, M. Spousta¹²⁸,al, T. Spreitzer¹⁵⁹, B. Spurlock⁸, R.D. St. Denis⁵³, J. Stahlman¹²¹, R. Stamen⁵⁸a, E. Stanecka³⁹, R.W. Stanek⁶, C. Stanescu¹³⁵a, M. Stanescu-Bellu⁴², M.M. Stanitzki⁴², S. Stapnes¹¹⁸, E.A. Starchenko¹²⁹, J. Stark⁵⁵, P. Staroba¹²⁶, P. Starovoitov⁴², R. Staszewski³⁹, A. Staude⁹⁹, P. Stavina¹⁴⁵a,*, G. Steele⁵³, P. Steinbach⁴⁴, P. Steinberg²⁵, I. Stekl¹¹²⁷, B. Stelzer¹⁴³, H.J. Stelzer⁸⁹, O. Stelzer-Chilton¹⁶⁰a, H. Stenzel⁵², S. Stern¹⁰⁰, G.A. Stewart³⁰, J.A. Stillings²¹, M.C. Stockton⁸⁶, M. Stoebe⁸⁶, K. Stoerig⁴⁸, G. Stoicea²⁶a, S. Stonjek¹⁰⁰, A.R. Stradling⁸, A. Straessner⁴⁴, J. Strandberg¹⁴⁸, S. Strandberg¹⁴⁷a,¹⁴⁷b, A. Strandlie¹¹⁸, M. Strang¹¹⁰, E. Strauss¹⁴⁴, M. Strauss¹¹², P. Strizenec¹⁴⁵b, R. Ströhmer¹⁷⁵, D.M. Strom¹¹⁵, J.A. Strong⁷⁶*, R. Stroynowski⁴⁰, B. Stugu¹⁴, I. Stumer²⁵*, J. Stupak¹⁴⁹, P. Sturm¹⁷⁶, N.A. Styles⁴², D. Su¹⁴⁴, HS. Subramania³, R. Subramaniam⁷⁸, A. Succurro¹², Y. Sugaya¹¹⁷, C. Suhr¹⁵⁰, M. Suk¹²⁷, V.V. Sulin⁹⁵, S. Sultansoy⁴c, T. Sumida⁶⁷, X. Sun⁵⁵, J.E. Sundermann⁴⁸, K. Suruliz¹⁴⁰, G. Susinno³⁷a,³⁷b, M.R. Sutton¹⁵⁰, Y. Suzuki⁶⁵, Y. Suzuki⁶⁶, M. Svatos¹²⁶, S. Swedish¹⁶⁹, M. Swiatlowski¹⁴⁴, I. Sykora¹⁴⁵a, T. Sykora¹²⁸, D. Ta¹⁰⁶, K. Tackmann⁴², A. Taffard¹⁶⁴, R. Tafirout¹⁶⁰a, N. Taiblum¹⁵⁴, Y. Takahashi¹⁰², H. Takai²⁵, R. Takashima⁶⁸, H. Takeda⁶⁶, T. Takeshita¹⁴¹, Y. Takubo⁶⁵, M. Talby⁸⁴, A.A. Talyshev¹⁰⁸, g, J.Y.C. Tam¹⁷⁵, M.C. Tamsett⁷⁸,am, K.G. Tan⁸⁷, J. Tanaka¹⁵⁶, R. Tanaka¹¹⁶, S. Tanaka¹³², S. Tanaka⁶⁵, A.J. Tanasiiczuk¹⁴³, K. Tani⁶⁶, N. Tannoury⁸⁴, S. Tapprogge⁸², S. Tarem¹⁵³, F. Tarrade²⁹, G.F. Tartarelli⁹⁰a, P. Tas¹²⁸, M. Tasevsky¹²⁶, T. Tashiro⁶⁷, E. Tassi³⁷a,³⁷b, Y. Tayalati¹³⁶d, C. Taylor⁷⁷, F.E. Taylor⁹³, G.N. Taylor⁸⁷, W. Taylor¹⁶⁰b, M. Teinturier¹¹⁶, F.A. Teischinger³⁰, M. Teixeira Dias Castanheira⁷⁵, P. Teixeira-Dias⁷⁶, K.K. Temming⁴⁸, H. Ten Kate³⁰, P.K. Teng¹⁵², S. Terada⁶⁵, K. Terashi¹⁵⁶, J. Terron⁸¹, M. Testa⁴⁷, R.J. Teuscher¹⁵⁹, j, J. Therhaag²¹, T. Thevenaux-Pelzer³⁴, M. Thomas³⁴, E.N. Thompson³⁵, P.D. Thompson¹⁸, P.D. Thompson¹⁵⁹, A.S. Thompson⁵³, L.A. Thomsen³⁶, E. Thomson¹²¹, M. Thomson²⁸, W.M. Thong⁸⁷, R.P. Thun⁸⁸*, F. Tian³⁵, M.J. Tibbetts¹⁵, T. Tic¹²⁶, V.O. Tikhomirov⁹⁵, Yu.A. Tikhonov¹⁰⁸, g, S. Timoshenko⁹⁷, E. Tiouchchine⁸⁴, P. Tipton¹⁷⁷, S. Tisserant⁸⁴, T. Todorov⁵, S. Todorova-Nova¹⁶², B. Toggerson¹⁶⁴, J. Tojo⁶⁹, S. Tokár¹⁴⁵a, K. Tokushuku⁶⁵, K. Tollefson⁸⁹, L. Tomlinson⁸³, M. Tomoto¹⁰², L. Tompkins³¹, K. Toms¹⁰⁴, A. Tonoyan¹⁴, C. Topfel¹⁷, N.D. Topilin⁶⁴, E. Torrence¹¹⁵, H. Torre⁷⁹, E. Torró Pastor¹⁸, J. Toth⁸⁴,ag, F. Touchard⁸⁴, D.R. Tovey¹⁴⁰, H.L. Tran¹¹⁶, T. Tiefzger¹⁷⁵, L. Tremblet³⁰, A. Tricoli³⁰, I.M. Trigger¹⁶⁰a, S. Trincaz-Duvoid⁷⁹, M.F. Tripiana⁷⁰, N. Triplett²⁵, W. Trischuk¹⁵⁹, B. Trocmé⁵⁵, C. Troncon⁹⁰a, M. Trottier-McDonald¹⁴³, M. Trovatelli¹³⁵a,¹³⁵b, P. True⁸⁹, M. Trzebinski³⁹, A. Trzupek³⁹, C. Tsarouchas³⁰, J.C.-L. Tseng¹¹⁹, M. Tsiakiris¹⁰⁶, P.V. Tsiariashka⁹¹, D. Tsionou¹³⁷, G. Tsipolitis¹⁰, S. Tsiskaridze¹², V. Tsiskaridze⁴⁸, E.G. Tskhadadze⁵¹a, I.I. Tsukerman⁹⁶, V. Tsulaia¹⁵, J.-W. Tsung¹², S. Tsuno⁶⁰, D. Tsybychev²⁶a, A. Tua¹⁴⁰, A. Tudorache²⁶a, V. Tudorache²⁶a, J.M. Tuggle³¹, A.N. Tuna¹²¹, M. Turala³⁹, D. Turecek¹²⁷, I. Turk Cakir⁴d, R. Turra⁹⁰a,⁹⁰b, P.M. Tuts³⁵, A. Tykhonov⁷⁴, M. Tylmad¹⁴⁷a,¹⁴⁷b, M. Tyndel¹³⁰, K. Uchida²¹, I. Ueda¹⁵⁶, R. Ueno²⁹, M. Ughetto⁸⁴, M. Ugland¹⁴, M. Uhlenbrock²¹, F. Ukegawa¹⁶¹, G. Unal³⁰, A. Undrus²⁵, G. Unel¹⁶⁴, F.C. Ungaro⁴⁸, Y. Unno⁶⁵, D. Urbaniec³⁵, P. Urquijo²¹, G. Usai⁸, L. Vacavant⁸⁴, V. Vacek¹²⁷, B. Vachon⁸⁶, S. Vahsen¹⁵, N. Valencic¹⁰⁶, S. Valentinetti²⁰a,²⁰b, A. Valero¹⁶⁸, T. Valery³⁴, S. Valkar¹²⁸, E. Valladolid Gallego¹⁶⁸, S. Vallecora¹⁵³, J.A. Valls Ferrer¹⁶⁸, R. Van Berg¹²¹, P.C. Van Der Deijl¹⁰⁶, R. van der Geer¹⁰⁶, H. van der Graaf¹⁰⁶, R. Van Der Leeuw¹⁰⁶, D. van der Ster³⁰, N. van Eldik³⁰, P. van Gemmeren⁶, J. Van Nieuwkoop¹⁴³, I. van Vulpen¹⁰⁶, M. Vanadia¹⁰⁰, W. Vandelli³⁰, A. Vaniachine⁶, P. Vankov⁴², F. Vannucci⁷⁹, R. Vari¹³³a, E.W. Varnes⁷, T. Varol⁸⁵, D. Varouchas¹⁵, A. Vartapetian⁸, K.E. Varvell¹⁵¹, V.I. Vassilakopoulos⁵⁶, F. Vazeille³⁴, T. Vazquez Schroeder⁵⁴, F. Veloso¹²⁵a, S. Veneziano¹³³a, A. Ventura⁷²a,⁷²b, D. Ventura⁸⁵, M. Venturi⁴⁸, N. Venturi¹⁵⁹, V. Vercesi¹²⁰a, M. Verducci¹³⁹, W. Verkerke¹⁰⁶, J.C. Vermeulen¹⁰⁶, A. Vest⁴⁴, M.C. Vetterli¹⁴³, e, I. Vichou¹⁶⁶, T. Vickey¹⁴⁶c,am, O.E. Vickey Boeriu¹⁴⁶c, G.H.A. Viehhauser¹¹⁹, S. Viel¹⁶⁹, M. Villa²⁰a,²⁰b, M. Villaplana Perez¹⁶⁸, E. Vilucchi⁴⁷, M.G. Vincter²⁹, V.B. Vinogradov⁶⁴, J. Virzi¹⁵, O. Vitells¹⁷³, M. Viti⁴², I. Vivarelli⁴⁸, F. Vives Vaque³, S. Vlachos¹⁰, D. Vladoiu⁹⁹, M. Vlasak¹²⁷, A. Vogel²¹, P. Vokac¹²⁷, G. Volpi⁴⁷, M. Volpi⁸⁷, G. Volpini⁹⁰a, H. von der Schmitt¹⁰⁰, H. von Radziewski⁴⁸, E. von Toerne²¹, V. Vorobel¹²⁸, M. Vos¹⁶⁸, R. Voss³⁰, J.H. Vossebeld⁷³, N. Vranjes¹³⁷, M. Vranjes¹³⁷, M. Vranješnjevlijevic¹⁰⁶, V. Vrba¹²⁶, M. Vreeswijk¹⁰⁶, T. Vu Anh⁴⁸, R. Vuillermet³⁰, I. Vukotic³¹, Z. Vykydal¹²⁷, W. Wagner¹⁷⁶, P. Wagner²¹, S. Wahrmund⁴⁴, J. Wakabayashi¹⁰², S. Walch⁸⁸, J. Walder⁷¹, R. Walker⁹⁹, W. Walkowiak¹⁴², R. Wall¹⁷⁷, P. Waller⁷³, B. Walsh¹⁷⁷, C. Wang⁴⁵, H. Wang¹⁷⁴, H. Wang⁴⁰, J. Wang¹⁵², J. Wang³³a, K. Wang⁸⁶, R. Wang¹⁰⁴, S.M. Wang¹⁵², T. Wang²¹, X. Wang¹⁷⁷, A. Warburton⁸⁶, C.P. Ward²⁸, D.R. Wardrope⁷², M. Warsinsky⁴⁸, A. Washbrook⁴⁶, C. Wasicki⁴², I. Watanabe⁶⁶, P.M. Watkins¹⁸, A.T. Watson¹⁸, I.J. Watson¹⁵¹, M.F. Watson¹⁸, G. Watts¹³⁹, S. Watts⁸³, A.T. Waugh¹⁵¹, B.M. Waugh⁷⁷, M.S. Weber¹⁷, J.S. Webster³¹, A.R. Weidberg¹¹⁹, P. Weigell¹⁰⁰, J. Weingarten⁵⁴, C. Weiser⁴⁸, P.S. Wells³⁰, T. Wenaus²⁵, D. Wendland¹⁶, Z. Weng¹⁵², v, T. Wengler³⁰, S. Wenig³⁰, N. Wermes²¹, M. Werner⁴⁸, P. Werner³⁰, M. Werth¹⁶⁴, M. Wessels⁵⁸a, J. Wetter¹⁶², K. Whalen²⁹, A. White⁸, M.J. White⁸⁷, R. White³²b, S. White¹²³a,¹²³b, S.R. Whitehead¹¹⁹, D. Whiteson¹⁶⁴, D. Whittington⁶⁰, D. Wicke¹⁷⁶, F.J. Wickens¹³⁰, W. Wiedenmann¹⁷⁴, M. Wielers⁸⁰, d, P. Wienemann²¹, C. Wiglesworth³⁶, L.A.M. Wiik-Fuchs²¹, P.A. Wijeratne⁷⁷, A. Wildauer¹⁰⁰, M.A. Wildt⁴², s, I. Wilhelm¹²⁸, H.G. Wilkens³⁰, J.Z. Will⁹⁹, E. Williams³⁵, H.H. Williams¹²¹, S. Williams²⁸, W. Willis³⁵,*, S. Willocq⁸⁵, J.A. Wilson¹⁸, A. Wilson⁸⁸, I. Wingerter-Seez⁵, S. Winkelmann⁴⁸, F. Winklmeier³⁰, M. Wittgen¹⁴⁴, T. Wittig⁴³, J. Wittkowski⁹⁹, S.J. Wollstadt⁸², M.W. Wolter³⁹, H. Wolters¹²⁵a, h, W.C. Wong⁴¹, G. Wooden⁸⁸, B.K. Wosiek⁹³, J. Wotschack³⁰, M.J. Woudstra⁸³, K.W. Wozniak³⁹, K. Wraight⁵³, M. Wright⁵³, B. Wrona⁷³, S.L. Wu¹⁷⁴, X. Wu⁴⁹, Y. Wu⁸⁸, E. Wulf³⁵, B.M. Wynne⁴⁶, S. Xella³⁶, M. Xiao¹³⁷, S. Xie⁴⁸, C. Xu³³b, aa, D. Xu³³a, L. Xu³³b, ao, B. Yabsley¹⁵¹, S. Yacoob¹⁴⁶b, ap, M. Yamada⁶⁵, H. Yamaguchi¹⁵⁶, Y. Yamaguchi¹⁵⁶, A. Yamamoto⁶⁵, K. Yamamoto⁶³, S. Yamamoto¹⁵⁶, T. Yamamura¹⁵⁶, T. Yamanaka¹⁵⁶, K. Yamauchi¹⁰², T. Yamazaki¹⁵⁶, Y. Yamazaki¹⁶⁶, Z. Yan²², H. Yang³³e, H. Yang¹⁷⁴, U.K. Yang⁸³, Y. Yang¹¹⁰, Z. Yang¹⁴⁷a,¹⁴⁷b, S. Yanush⁹², L. Yao³³a, Y. Yasu⁶⁵, E. Yatsenko⁴², K.H. Yau Wong²¹, J. Ye⁴⁰, S. Ye²⁵, A.L. Yen⁵⁷, E. Yildirim⁴², M. Yilmaz⁴b, R. Yoosoofmiya¹²⁴, K. Yorita¹⁷², R. Yoshida⁶, K. Yoshihara¹⁵⁶, C. Young¹⁴⁴, C.J.S. Young¹¹⁹, S. Youssef²², D. Yu²⁵, D.R. Yu¹⁵, J. Yu⁸, J. Yu¹¹³, L. Yuan⁶⁶, A. Yurkewicz¹⁰⁷, B. Zabinski³⁹, R. Zaidan⁶², A.M. Zaitsev¹²⁹, ab, S. Zambito²³, L. Zanello¹³³a,¹³³b, D. Zanzi¹⁰⁰, A. Zaytsev²⁵, C. Zeitnitz¹⁷⁶, M. Zeman¹²⁷, A. Zemla³⁹,
O. Zenin¹²⁹, T. Ženiš¹⁴⁵ᵃ, D. Zerwas¹¹⁶, G. Zevi della Porta⁵⁷, D. Zhang⁸⁸, H. Zhang⁸⁹, J. Zhang⁶, L. Zhang¹⁵², X. Zhang³³d, Z. Zhang¹¹⁶, Z. Zhao³³b, A. Zhemchugov⁶⁴, J. Zhong¹¹⁹, B. Zhou⁸⁸, N. Zhou¹⁶⁴, Y. Zhou¹⁵², C.G. Zhu³³d, H. Zhu⁴², J. Zhu⁸⁸, Y. Zhu³³b, X. Zhuang³³a, A. Zibell⁹⁹, D. Zieminska⁶⁰, N.I. Zimin⁶⁴, C. Zimmermann⁸², R. Zimmermann²¹, S. Zimmermann²¹, S. Zimmermann⁴⁸, Z. Zinonos¹²³a,¹²³b, M. Ziolkowski¹⁴², R. Zitoun⁵, L. Živković³⁵, V.V. Zmouchko¹²⁹,*, G. Zobernig¹⁷⁴, A. Zoccoli²⁰⁸a,²⁰b, M. zur Nedden¹⁶, V. Zutshi¹⁰⁷, L. Zwalinski³⁰.

¹ School of Chemistry and Physics, University of Adelaide, Adelaide, Australia

² Physics Department, SUNY Albany, Albany NY, United States of America

³ Department of Physics, University of Alberta, Edmonton AB, Canada

⁴ (a) Department of Physics, Ankara University, Ankara; (b) Department of Physics, Gazi University, Ankara; (c) Division of Physics, TOBB University of Economics and Technology, Ankara; (d) Turkish Atomic Energy Authority, Ankara, Turkey

⁵ LAPP, CNRS/IN2P3 and Université de Savoie, Annecy-le-Vieux, France

⁶ High Energy Physics Division, Argonne National Laboratory, Argonne IL, United States of America

⁷ Department of Physics, University of Arizona, Tucson AZ, United States of America

⁸ Department of Physics, The University of Texas at Arlington, Arlington TX, United States of America

⁹ Physics Department, University of Athens, Athens, Greece

¹⁰ Physics Department, National Technical University of Athens, Zografou, Greece

¹¹ Institute of Physics, Azerbaijan Academy of Sciences, Baku, Azerbaijan

¹² Institut de Física d'Altes Energies and Departament de Física de la Universitat Autònoma de Barcelona, Barcelona, Spain

¹³ (a) Institute of Physics, University of Belgrade, Belgrade; (b) Vinca Institute of Nuclear Sciences, University of Belgrade, Belgrade, Serbia

¹⁴ Department for Physics and Technology, University of Bergen, Bergen, Norway

¹⁵ Physics Division, Lawrence Berkeley National Laboratory and University of California, Berkeley CA, United States of America

¹⁶ Department of Physics, Humboldt University, Berlin, Germany

¹⁷ Albert Einstein Center for Fundamental Physics and Laboratory for High Energy Physics, University of Bern, Bern, Switzerland

¹⁸ School of Physics and Astronomy, University of Birmingham, Birmingham, United Kingdom

¹⁹ (a) Department of Physics, Bogazici University, Istanbul; (b) Department of Physics, Dogus University, Istanbul; (c) Department of Physics Engineering, Gaziantep University, Gaziantep, Turkey

²⁰ (a) INFN Sezione di Bologna; (b) Dipartimento di Fisica e Astronomia, Università di Bologna, Bologna, Italy

²¹ Physikalisches Institut, University of Bonn, Bonn, Germany

²² Department of Physics, Boston University, Boston MA, United States of America

²³ Department of Physics, Brandeis University, Waltham MA, United States of America

²⁴ (a) Universidade Federal do Rio de Janeiro COPPE/EE/IF, Rio de Janeiro; (b) Federal University of Juiz de Fora (UFJF), Juiz de Fora; (c)

Federal University of Sao Joao del Rei (UFSJ), Sao Joao del Rei; (d) Instituto de Física, Universidade de Sao Paulo, Sao Paulo, Brazil

²⁵ Physics Department, Brookhaven National Laboratory, Upton NY, United States of America

²⁶ (a) National Institute of Physics and Nuclear Engineering, Bucharest; (b) National Institute for Research and Development of Isotopic and Molecular Technologies, Physics Department, Cluj Napoca; (c) University Politehnica Bucharest, Bucharest; (d) West University in Timisoara, Timisoara, Romania

²⁷ Departamento de Física, Universidad de Buenos Aires, Buenos Aires, Argentina

²⁸ Cavendish Laboratory, University of Cambridge, Cambridge, United Kingdom

²⁹ Department of Physics, Carleton University, Ottawa ON, Canada

³⁰ CERN, Geneva, Switzerland

³¹ Enrico Fermi Institute, University of Chicago, Chicago IL, United States of America

³² (a) Departamento de Física, Pontificia Universidad Católica de Chile, Santiago; (b) Departamento de Física, Universidad Técnica Federico Santa María, Valparaíso, Chile

³³ (a) Institute of High Energy Physics, Chinese Academy of Sciences, Beijing; (b) Department of Modern Physics, University of Science and Technology of China, Anhui; (c) Department of Physics, Nanjing University, Jiangsu; (d) School of Physics, Shandong University, Shandong; (e) Physics Department, Shanghai Jiao Tong University, Shanghai, China

³⁴ Laboratoire de Physique Corpusculaire, Clermont Université and Université Blaise Pascal and CNRS/IN2P3, Clermont-Ferrand, France

³⁵ Nevis Laboratory, Columbia University, Irvington NY, United States of America

³⁶ Niels Bohr Institute, University of Copenhagen, Kobenhavn, Denmark

³⁷ (a) INFN Gruppo Collegato di Cosenza; (b) Dipartimento di Fisica, Università della Calabria, Rende, Italy

³⁸ (a) AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Krakow; (b) Marian Smoluchowski Institute of Physics, Jagiellonian University, Krakow, Poland

³⁹ The Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Krakow, Poland

⁴⁰ Physics Department, Southern Methodist University, Dallas TX, United States of America

⁴¹ Physics Department, University of Texas at Dallas, Richardson TX, United States of America

⁴² DESY, Hamburg and Zeuthen, Germany

⁴³ Institut für Experimentelle Physik IV, Technische Universität Dortmund, Dortmund, Germany

⁴⁴ Institut für Kern- und Teilchenphysik, Technische Universität Dresden, Dresden, Germany

⁴⁵ Department of Physics, Duke University, Durham NC, United States of America

⁴⁶ SUPA - School of Physics and Astronomy, University of Edinburgh, Edinburgh, United Kingdom

⁴⁷ INFN Laboratori Nazionali di Frascati, Frascati, Italy

⁴⁸ Fakultät für Mathematik und Physik, Albert-Ludwigs-Universität, Freiburg, Germany

⁴⁹ Section de Physique, Université de Genève, Geneva, Switzerland

⁵⁰ (a) INFN Sezione di Genova; (b) Dipartimento di Fisica, Università di Genova, Genova, Italy
<footnote n="51">51 (a) E. Andronikashvili Institute of Physics, Iv. Javakhishvili Tbilisi State University, Tbilisi; (b) High Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia</footnote>

<footnote n="52">52 II Physikalisches Institut, Justus-Liebig-Universität Giessen, Giessen, Germany</footnote>

<footnote n="53">53 SUPA - School of Physics and Astronomy, University of Glasgow, Glasgow, United Kingdom</footnote>

<footnote n="54">54 II Physikalisches Institut, Georg-August-Universität, Göttingen, Germany</footnote>

<footnote n="55">55 Laboratoire de Physique Subatomique et de Cosmologie, Université Joseph Fourier and CNRS/IN2P3 and Institut National Polytechnique de Grenoble, Grenoble, France</footnote>

<footnote n="56">56 Department of Physics, Hampton University, Hampton VA, United States of America</footnote>

<footnote n="57">57 Laboratory for Particle Physics and Cosmology, Harvard University, Cambridge MA, United States of America</footnote>

<footnote n="58">58 (a) Kirchhoff-Institut für Physik, Ruprecht-Karls-Universität Heidelberg, Heidelberg; (b) Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg; (c) ZITI Institut für technische Informatik, Ruprecht-Karls-Universität Heidelberg, Mannheim, Germany</footnote>

<footnote n="59">59 Faculty of Applied Information Science, Hiroshima Institute of Technology, Hiroshima, Japan</footnote>

<footnote n="60">60 Department of Physics, Indiana University, Bloomington IN, United States of America</footnote>

<footnote n="61">61 Institut für Astro- und Teilchenphysik, Leopold-Franzens-Universität, Innsbruck, Austria</footnote>

<footnote n="62">62 University of Iowa, Iowa City IA, United States of America</footnote>

<footnote n="63">63 Department of Physics and Astronomy, Iowa State University, Ames IA, United States of America</footnote>

<footnote n="64">64 Joint Institute for Nuclear Research, JINR Dubna, Dubna, Russia</footnote>

<footnote n="65">65 KEK, High Energy Accelerator Research Organization, Tsukuba, Japan</footnote>

<footnote n="66">66 Graduate School of Science, Kobe University, Kobe, Japan</footnote>

<footnote n="67">67 Faculty of Science, Kyoto University, Kyoto, Japan</footnote>

<footnote n="68">68 Kyoto University of Education, Kyoto, Japan</footnote>

<footnote n="69">69 Department of Physics, Kyushu University, Fukuoka, Japan</footnote>

<footnote n="70">70 Instituto de Física La Plata, Universidad Nacional de La Plata and CONICET, La Plata, Argentina</footnote>

<footnote n="71">71 Physics Department, Lancaster University, Lancaster, United Kingdom</footnote>

<footnote n="72">72 (a) INFN Sezione di Lecce; (b) Dipartimento di Matematica e Fisica, Università del Salento, Lecce, Italy</footnote>

<footnote n="73">73 Oliver Lodge Laboratory, University of Liverpool, Liverpool, United Kingdom</footnote>

<footnote n="74">74 Department of Physics, Jožef Stefan Institute and University of Ljubljana, Ljubljana, Slovenia</footnote>

<footnote n="75">75 School of Physics and Astronomy, Queen Mary University of London, London, United Kingdom</footnote>

<footnote n="76">76 Department of Physics, Royal Holloway University of London, Surrey, United Kingdom</footnote>

<footnote n="77">77 Department of Physics and Astronomy, University College London, London, United Kingdom</footnote>

<footnote n="78">78 Louisiana Tech University, Ruston LA, United States of America</footnote>

<footnote n="79">79 Laboratoire de Physique Nucléaire et de Hautes Energies, UPMC and Université Paris-Diderot and CNRS/IN2P3, Paris, France</footnote>

<footnote n="80">80 Fysiska institutionen, Lunds universitet, Lund, Sweden</footnote>

<footnote n="81">81 Departamento de Física Teórica C-15, Universidad Autónoma de Madrid, Madrid, Spain</footnote>

<footnote n="82">82 Institut für Physik, Universität Mainz, Mainz, Germany</footnote>

<footnote n="83">83 School of Physics and Astronomy, University of Manchester, Manchester, United Kingdom</footnote>

<footnote n="84">84 CPPM, Aix-Marseille Université and CNRS/IN2P3, Marseille, France</footnote>

<footnote n="85">85 Department of Physics, University of Massachusetts, Amherst MA, United States of America</footnote>

<footnote n="86">86 Department of Physics, McGill University, Montreal QC, Canada</footnote>

<footnote n="87">87 School of Physics, University of Melbourne, Victoria, Australia</footnote>

<footnote n="88">88 Department of Physics, The University of Michigan, Ann Arbor MI, United States of America</footnote>

<footnote n="89">89 Department of Physics and Astronomy, Michigan State University, East Lansing MI, United States of America</footnote>

<footnote n="90">90 (a) INFN Sezione di Milano; (b) Dipartimento di Fisica, Università di Milano, Milano, Italy</footnote>

<footnote n="91">91 B.I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, Minsk, Republic of Belarus</footnote>

<footnote n="92">92 National Scientific and Educational Centre for Particle and High Energy Physics, Minsk, Republic of Belarus</footnote>

<footnote n="93">93 Department of Physics, Massachusetts Institute of Technology, Cambridge MA, United States of America</footnote>

<footnote n="94">94 Group of Particle Physics, University of Montreal, Montreal QC, Canada</footnote>

<footnote n="95">95 P.N. Lebedev Institute of Physics, Academy of Sciences, Moscow, Russia</footnote>

<footnote n="96">96 Institute for Theoretical and Experimental Physics (ITEP), Moscow, Russia</footnote>

<footnote n="97">97 Moscow Engineering and Physics Institute (MEPhI), Moscow, Russia</footnote>

<footnote n="98">98 D.V.Skobeltsyn Institute of Nuclear Physics, M.V.Lomonosov Moscow State University, Moscow, Russia</footnote>

<footnote n="99">99 Fakultät für Physik, Ludwig-Maximilians-Universität München, München, Germany</footnote>

<footnote n="100">100 Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), München, Germany</footnote>

<footnote n="101">101 Nagasaki Institute of Applied Science, Nagasaki, Japan</footnote>

<footnote n="102">102 Graduate School of Science and Kobayashi-Maskawa Institute, Nagoya University, Nagoya, Japan</footnote>

<footnote n="103">103 (a) INFN Sezione di Napoli; (b) Dipartimento di Scienze Fisiche, Università di Napoli, Napoli, Italy</footnote>

<footnote n="104">104 Department of Physics and Astronomy, University of New Mexico, Albuquerque NM, United States of America</footnote>

<footnote n="105">105 Institute for Mathematics, Astrophysics and Particle Physics, Radboud University Nijmegen/Nikhef, Nijmegen, Netherlands</footnote>

<footnote n="106">106 Nikhef National Institute for Subatomic Physics and University of Amsterdam, Amsterdam, Netherlands</footnote>

<footnote n="107">107 Department of Physics, Northern Illinois University, DeKalb IL, United States of America</footnote>

<footnote n="108">108 Budker Institute of Nuclear Physics, SB RAS, Novosibirsk, Russia</footnote>

<footnote n="109">109 Department of Physics, New York University, New York NY, United States of America</footnote>

<footnote n="110">110 Ohio State University, Columbus OH, United States of America</footnote>

<footnote n="111">111 Faculty of Science, Okayama University, Okayama, Japan</footnote>

<footnote n="112">112 Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman OK, United States of America</footnote>

<footnote n="113">113 Department of Physics, Oklahoma State University, Stillwater OK, United States of America</footnote>
114 Palacký University, RCPTM, Olomouc, Czech Republic

115 Center for High Energy Physics, University of Oregon, Eugene OR, United States of America

116 LAL, Université Paris-Sud and CNRS/IN2P3, Orsay, France

117 Graduate School of Science, Osaka University, Osaka, Japan

118 Department of Physics, University of Oslo, Oslo, Norway

119 Department of Physics, Oxford University, Oxford, United Kingdom

120 (a) INFN Sezione di Pavia; (b) Dipartimento di Fisica, Università di Pavia, Pavia, Italy

121 Department of Physics, University of Pennsylvania, Philadelphia PA, United States of America

122 Petersburg Nuclear Physics Institute, Gatchina, Russia

123 (a) INFN Sezione di Pisa; (b) Dipartimento di Fisica E. Fermi, Università di Pisa, Pisa, Italy

124 Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh PA, United States of America

125 (a) Laboratorio de Instrumentacao e Fisica Experimental de Particulas - LIP, Lisboa, Portugal; (b) Departamento de Fisica Teorica y del Cosmos and CAFPE, Universidad de Granada, Granada, Spain

126 Institute of Physics, Academy of Sciences of the Czech Republic, Praha, Czech Republic

127 Czech Technical University in Prague, Praha, Czech Republic

128 Faculty of Mathematics and Physics, Charles University in Prague, Praha, Czech Republic

129 State Research Center Institute for High Energy Physics, Protvino, Russia

130 Particle Physics Department, Rutherford Appleton Laboratory, Didcot, United Kingdom

131 Physics Department, University of Regina, Regina SK, Canada

132 Ritsumeikan University, Kusatsu, Shiga, Japan

133 (a) INFN Sezione di Roma I; (b) Dipartimento di Fisica, Università La Sapienza, Roma, Italy

134 (a) INFN Sezione di Roma Tor Vergata; (b) Dipartimento di Fisica, Università di Roma Tor Vergata, Roma, Italy

135 (a) INFN Sezione di Roma Tre; (b) Dipartimento di Matematica e Fisica, Università Roma Tre, Roma, Italy

136 (a) Faculté des Sciences Ain Chock, Réseau Universitaire de Physique des Hautes Energies - Université Hassan II, Casablanca; (b) Centre National de l'Energie des Sciences Techniques Nucleaires, Rabat; (c) Faculté des Sciences Semlalia, Université Cadi Ayyad, LPHEA-Marrakech; (d) Faculté des Sciences, Université Mohamed Premier and LPTPM, Oujda; (e) Faculté des sciences, Université Mohammed V-Agdal, Rabat, Morocco

137 DSM/IRFU (Institut de Recherches sur les Lois Fondamentales de l'Univers), CEA Saclay (Commissariat à l'Energie Atomique et aux Energies Alternatives), Gif-sur-Yvette, France

138 Santa Cruz Institute for Particle Physics, University of California Santa Cruz, Santa Cruz CA, United States of America

139 Department of Physics, University of Washington, Seattle WA, United States of America

140 Department of Physics and Astronomy, University of Sheffield, Sheffield, United Kingdom

141 Department of Physics, Shinshu University, Nagano, Japan

142 Fachbereich Physik, Universität Siegen, Siegen, Germany

143 Department of Physics, Simon Fraser University, Burnaby BC, Canada

144 SLAC National Accelerator Laboratory, Stanford CA, United States of America

145 (a) Faculty of Mathematics, Physics & Informatics, Comenius University, Bratislava; (b) Department of Subnuclear Physics, Institute of Experimental Physics of the Slovak Academy of Sciences, Kosice, Slovak Republic

146 (a) Department of Physics, University of Cape Town, Cape Town; (b) Department of Physics, University of Johannesburg, Johannesburg; (c) School of Physics, University of the Witwatersrand, Johannesburg, South Africa

147 (a) Department of Physics, Stockholm University; (b) The Oskar Klein Centre, Stockholm, Sweden

148 Physics Department, Royal Institute of Technology, Stockholm, Sweden

149 Departments of Physics & Astronomy and Chemistry, Stony Brook University, Stony Brook NY, United States of America

150 Department of Physics and Astronomy, University of Sussex, Brighton, United Kingdom

151 School of Physics, University of Sydney, Sydney, Australia

152 Institute of Physics, Academia Sinica, Taipei, Taiwan

153 Department of Physics, Technion: Israel Institute of Technology, Haifa, Israel

154 Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel

155 Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece

156 International Center for Elementary Particle Physics and Department of Physics, The University of Tokyo, Tokyo, Japan

157 Graduate School of Science and Technology, Tokyo Metropolitan University, Tokyo, Japan

158 Department of Physics, Tokyo Institute of Technology, Tokyo, Japan

159 Department of Physics, University of Toronto, Toronto ON, Canada

160 (a) TRIUMF, Vancouver BC; (b) Department of Physics and Astronomy, York University, Toronto ON, Canada

161 Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Japan

162 Department of Physics and Astronomy, Tufts University, Medford MA, United States of America

163 Centro de Investigaciones, Universidad Antonio Narino, Bogota, Colombia

164 Department of Physics and Astronomy, University of California Irvine, Irvine CA, United States of America

165 (a) INFN Gruppo Collegato di Udine; (b) ICTP, Trieste; (c) Dipartimento di Chimica, Fisica e Ambiente, Università di Udine, Udine, Italy

166 Department of Physics, University of Illinois, Urbana IL, United States of America

167 Department of Physics and Astronomy, University of Uppsala, Uppsala, Sweden

168 Instituto de Física Corpuscular (IFIC) and Departamento de Física Atómica, Molecular y Nuclear and Departamento de Ingeniería Electrónica and Instituto de Microelectrónica de Barcelona (IMB-CNM), University of Valencia and CSIC, Valencia, Spain

169 Department of Physics, University of British Columbia, Vancouver BC, Canada

170 Department of Physics and Astronomy, University of Victoria, Victoria BC, Canada

171 Department of Physics, University of Warwick, Coventry, United Kingdom
172 Waseda University, Tokyo, Japan

173 Department of Particle Physics, The Weizmann Institute of Science, Rehovot, Israel

174 Department of Physics, University of Wisconsin, Madison WI, United States of America

175 Fakultät für Physik und Astronomie, Julius-Maximilians-Universität, Würzburg, Germany

176 Fachbereich C Physik, Bergische Universität Wuppertal, Wuppertal, Germany

177 Department of Physics, Yale University, New Haven CT, United States of America

178 Yerevan Physics Institute, Yerevan, Armenia

179 Centre de Calcul de l'Institut National de Physique Nucléaire et de Physique des Particules (IN2P3), Villeurbanne, France

a Also at Department of Physics, King's College London, London, United Kingdom

b Also at Laboratorio de Instrumentacao e Fisica Experimental de Particulas - LIP, Lisboa, Portugal

c Also at Faculdade de Ciencias and CFNUL, Universidade de Lisboa, Lisboa, Portugal

d Also at Particle Physics Department, Rutherford Appleton Laboratory, Didcot, United Kingdom

e Also at TRIUMF, Vancouver BC, Canada

f Also at Department of Physics, California State University, Fresno CA, United States of America

g Also at Novosibirsk State University, Novosibirsk, Russia

h Also at Department of Physics, University of Coimbra, Coimbra, Portugal

i Also at Università di Napoli Parthenope, Napoli, Italy

j Also at Institute of Particle Physics (IPP), Canada

k Also at Department of Physics, Middle East Technical University, Ankara, Turkey

l Also at Louisiana Tech University, Ruston LA, United States of America

m Also at Dep Fisica and CEFITEC of Faculdade de Ciencias e Tecnologia, Universidade Nova de Lisboa, Caparica, Portugal

n Also at Department of Physics and Astronomy, Michigan State University, East Lansing MI, United States of America

o Also at Department of Financial and Management Engineering, University of the Aegean, Chios, Greece

p Also at Institutucio Catalana de Recerca i Estudis Avancats, ICREA, Barcelona, Spain

q Also at Department of Physics, University of Cape Town, Cape Town, South Africa

r Also at Institute of Physics, Azerbaijan Academy of Sciences, Baku, Azerbaijan

s Also at Institut für Experimentalphysik, Universität Hamburg, Hamburg, Germany

t Also at Manhattan College, New York NY, United States of America

u Also at Institute of Physics, Academia Sinica, Taipei, Taiwan

v Also at School of Physics and Engineering, Sun Yat-sen University, Guanzhou, China

w Also at Academia Sinica Grid Computing, Institute of Physics, Academia Sinica, Taipei, Taiwan

x Also at Laboratoire de Physique Nucléaire et de Hautes Energies, UPMC and Université Paris-Diderot and CNRS/IN2P3, Paris, France

y Also at School of Physical Sciences, National Institute of Science Education and Research, Bhubaneswar, India

z Also at Dipartimento di Fisica, Università La Sapienza, Roma, Italy

aa Also at DSM/IRFU (Institut de Recherches sur les Lois Fondamentales de l'Univers), CEA Saclay (Commissariat à l'Energie Atomique et aux Energies Alternatives), Gif-sur-Yvette, France

ab Also at Moscow Institute of Physics and Technology State University, Dolgoprudny, Russia

ac Also at Section de Physique, Université de Genève, Geneva, Switzerland

ad Also at Departamento de Fisica, Universidade de Minho, Braga, Portugal

ae Also at Department of Physics, The University of Texas at Austin, Austin TX, United States of America

af Also at Department of Physics and Astronomy, University of South Carolina, Columbia SC, United States of America

ag Also at Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, Budapest, Hungary

ah Also at DESY, Hamburg and Zeuthen, Germany

ai Also at International School for Advanced Studies (SISSA), Trieste, Italy

aj Also at LAL, Université Paris-Sud and CNRS/IN2P3, Orsay, France

ak Also at Faculty of Physics, M.V.Lomonosov Moscow State University, Moscow, Russia

al Also at Nevis Laboratory, Columbia University, Irvington NY, United States of America

am Also at Physics Department, Brookhaven National Laboratory, Upton NY, United States of America

an Also at Department of Physics, Oxford University, Oxford, United Kingdom

ao Also at Department of Physics, The University of Michigan, Ann Arbor MI, United States of America

ap Also at Discipline of Physics, University of KwaZulu-Natal, Durban, South Africa

* Deceased