First evidence for $\cos 2\beta&gt;0$ and resolution of the CKM Unitarity Triangle ambiguity by a time-dependent Dalitz plot analysis of $B^{0} \to D^{(*)} h^{0}$ with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ decays
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name: Wu, S. L.
name: Ye, Hua
name: Yuan, C. Z.
name: Yusa, Y.
name: Zakharov, S.
name: Zallo, A.
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Publisher: name: Deutsches Elektronen-Synchrotron, DESY, Hamburg
Year: 2018
Subjects: electron positron: annihilation
electron positron: colliding beams
B: pair production
B0: hadronic decay
D: hadronic decay
CKM matrix: unitarity
CP: violation
asymmetry: CP
Dalitz plot
time dependence
BELLE
BaBar
amplitude analysis
Upsilon(10570): electroproduction
resolution
B-factory
KEK-B
SLAC PEP Stor
experimental results
B0 --&gt; D pi0
B0 --&gt; D eta
B0 --&gt; D omega(783)
D --&gt; K0(S) pi+ pi-
10.57 GeV-cms

description: We present first evidence that the cosine of the CP-violating weak phase $2\beta$ is positive, and hence exclude trigonometric multifold solutions of the CKM Unitarity Triangle using a time-dependent Dalitz plot analysis of $B^{0} \to D^{(*)} h^{0}$ with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ decays, where $h^{0} \in \{\pi^{0}, \eta, \omega \}$ denotes a light unflavored and neutral hadron. The measurement is performed combining the final data sets of the BaBar and Belle experiments collected at the $\Upsilon(4S)$ resonance at the asymmetric-energy B factories PEP-II at SLAC and KEKB at KEK, respectively. The data samples contain $( 471 \pm 3 )\times 10^6\, B\bar{B}$ pairs recorded by the BaBar detector and $( 772 \pm 11 )\times 10^6\, B\bar{B}$ pairs recorded by the Belle detector. The results of the measurement are $\sin{2\beta} = 0.80 \pm 0.14 \,(\rm{stat.}) \pm 0.06 \,(\rm{syst.}) \pm 0.03 \,(\rm{model})$ and $\cos{2\beta} = 0.91 \pm 0.22 \,(\rm{stat.}) \pm 0.09 \,(\rm{syst.}) \pm 0.07 \,(\rm{model})$. The result for the direct measurement of the angle $\beta$ of the CKM Unitarity Triangle is $\beta = \left( 22.5 \pm 4.4 \,(\rm{stat.}) \pm 1.2 \,(\rm{syst.}) \pm 0.6 \,(\rm{model}) \right)^{\circ}$. The quoted model uncertainties are due to the composition of the $D^{0} \to K_{S}^{0} \pi^{+} \pi^{-}$ decay amplitude model, which is newly established by performing a Dalitz plot amplitude analysis using a high-statistics $e^{+}e^{-} \to c\bar{c}$ data sample. CP violation is observed in $B^{0} \to D^{(*)} h^{0}$ decays at the level of $5.1$ standard deviations. The significance for $\cos{2\beta}&gt;0$ is $3.7$ standard deviations. The trigonometric multifold solution $\pi/2 - \beta = (68.1 \pm 0.7)^{\circ}$ is excluded at the level of $7.3$ standard deviations. The measurement resolves an ambiguity in the determination of the apex of the CKM Unitarity Triangle.