DOI: 10.17182/hepdata.76541.v1/t51
title: "Table 51" of "Precision measurement and interpretation of inclusive $W^+$, $W^-$ and $Z/\gamma^*$ production cross sections with the ATLAS detector"

description: Nominal NNLO QCD + NLO EW $K_f$-factors as defined in Eq. (20) for the differential forward $Z/\gamma^* \to \ell\ell$ process in the invariant mass region $116 &lt; m_{\ell\ell} &lt; 150$ GeV. The $K_f$-factor is calculated as ratio of the best NNLO QCD + NLO EW prediction to the NLO QCD calculation using the MCFM/APPLGRID calculation, both using the ATLAS-epWZ12 NNLO PDF set, c.f. Section 7.1. In addition to the nominal $K_f$-factor, a full set of alternative $K$-factors is presented reflecting the following systematic variations, c.f. Tables 19 and 21. The factor $K_{FEWZ}$ uses the FEWZ 3.1.b2 NNLO QCD prediction, combined with NLO EW. The factors $K_\mu$ reflect the variation of the renormalisation and factorisations scales ($\mu_R, \mu_F$ up/down) by factors 2 and 0.5, respectively. The factors $K_{EW}$ quantify the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised (EW up/down). The statistical uncertainty on each $K_f$-factor (stat) is obtained from the NNLO QCD calculation, while the numerical uncertainties from all other contributions is negligible.
description: CERN-LHC. High-precision measurements by the ATLAS Collaboration are presented of inclusive $W^+\to\ell^+\nu$, $W^-\to\ell^-\bar{\nu}$ and $Z/\gamma^*\to\ell\ell$ ($\ell=e,\mu$) Drell--Yan production cross sections at the LHC. The data were collected in proton--proton collisions at $\sqrt{s} = 7$ TeV with an integrated luminosity of 4.6 fb$^{-1}$. Differential $W^+$ and $W^-$ cross sections are measured in a lepton pseudorapidity range $|\eta_{\ell}| = 2.5$. Differential $Z/\gamma^*$ cross sections are measured as a function of the absolute dilepton rapidity, for $|y_{\ell\ell}| &lt; 3.6$, for three intervals of dilepton mass, $m_{\ell\ell}$, extending from 46 to 150 GeV. The integrated and differential electron- and muon-channel cross sections are combined and compared to theoretical predictions using recent sets of parton distribution functions. The data, together with the final inclusive $e^{\pm}p$ scattering cross-section data from H1 and ZEUS, are interpreted in a next-to-next-to-leading-order QCD analysis, and a new set of parton distribution functions, ATLAS-epWZ16, is obtained. The ratio of strange-to-light sea-quark densities in the proton is determined more accurately than in previous determinations based on collider data only, and is established to be close to unity in the sensitivity range of the data. A new measurement of the CKM matrix element $|V_{cs}|$ is also provided. The differential cross sections are provided in two forms, a version with summarised uncertainties as in the paper tables and as "attached resource" files in HerAverager/xFitter format detailing all sources of correlated uncertainties separately. In addition to the experimental results, detailed information on the theoretical predictions are provided as required to reproduce the interpretation.