Measurement of $\cos{2\beta}$ in $B^{0} \to D^{(*)} h^{0}$ with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ decays by a combined time-dependent Dalitz plot analysis of BaBar and Belle data
Creators: name: Adachi, I.
name: Adye, T.
name: Ahmed, H.
name: Ahn, J. K.
name: Aihara, H.
name: Akar, S.
name: Alam, M. S.
name: Albert, J.
name: Anulli, F.
name: Arnaud, N.
name: Asner, D. M.
name: Aston, D.
name: Atmacan, H.
name: Aushev, T.
name: Ayad, R.
name: Badhrees, I.
name: Bakich, A. M.
name: Banerjee, Sw.
name: Bansal, V.
name: Barlow, R. J.
name: Batignani, G.
name: Beaulieu, A.
name: Behera, P.
name: Bellis, M.
name: Ben-Haim, E.
name: Bernard, D.
name: Bernlochner, F. U.
name: Bettarini, S.
name: Bettoni, D.
name: Bevan, A. J.
name: Bhardwaj, V.
name: Bhuyan, B.
name: Bianchi, F.
name: Biasini, M.
name: Biswal, J.
name: Blinov, V. E.
name: Bomben, M.
name: Bondar, A.
name: Bonneaud, G. R.
name: Bozek, A.
name: Bozzi, C.
name: Bračko, M.
name: Browder, T. E.
name: Brown, D. N.
name: Brown, D. N.
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name: Buzykaev, A. R.
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name: Sun, L.
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name: Tamponi\TAGbel And, U.
name: Tanida, K.
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name: Tisserand, V.
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name: Uchida, M.
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name: Uno, S.
name: Vahsen, S. E.
name: Varner, G.
name: Vasseur, G.
name: Va'vra, J.
name: Červenkov, D.
name: Verderi, M.
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name: Wang, M.-Z.
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name: Wilson, F. F.
name: Wilson, J. R.
name: Wisniewski, W. J.
name: Won, E.
name: Wormser, G.
name: Wright, D. M.
name: Wu, S. L.
name: Yuan, C. Z.
name: Yusa, Y.
name: Zakharov, S.
name: Zallo, A.
name: Zani, L.
name: Zhang, Z. P.
name: Zhilich, V.
name: Zhukova, V.
name: Zhulanov, V.
name: Zupanc, A.
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
CP: violation
asymmetry: CP
CKM matrix: unitarity
Dalitz plot
time dependence
BELLE
amplitude analysis
Upsilon(10570): electroproduction
B-factory
BaBar
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 report measurements of $\sin{2\beta}$ and $\cos{2\beta}$ from a time-dependent Dalitz plot analysis of $B^{0} \to D^{(*)} h^{0}$ with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ decays, where the light unflavored and neutral hadron $h^{0}$ is a $\pi^{0}$, $\eta$, or $\omega$ meson. The analysis is performed with a combination of the final data sets of the \babar\ and Belle experiments containing $471 \times 10^{6}$ and $772 \times 10^{6}$ $B\bar{B}$ pairs collected at the $\Upsilon\left(4S\right)$ resonance at the asymmetric-energy B factories PEP-II at SLAC and KEKB at KEK, respectively. We measure $\sin{2\beta} = 0.80 \pm 0.14 \,(\rm{stat.}) \pm 0.06 \,(\rm{syst.}) \pm 0.03 \,(\rm{model})$ 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 is $\beta = \left( 22.5 \pm 4.4 \,(\rm{stat.}) \pm 1.2 \,(\rm{syst.}) \pm 0.6 \,(\rm{model}) \right)^{\circ}$. The last quoted uncertainties are due to the composition of the $D^{0} \to K_{S}^{0} \pi^{+} \pi^{-}$ decay amplitude model, which is newly established by a Dalitz plot amplitude analysis of a high-statistics $e^{+}e^{-} \to c\bar{c}$ data sample as part of this analysis. We find the first evidence for $\cos2\beta&gt;0$ at the level of $3.7$ standard deviations. The measurement excludes the trigonometric multifold solution $\pi/2 - \beta = (68.1 \pm 0.7)^{\circ}$ at the level of $7.3$ standard deviations and therefore resolves an ambiguity in the determination of the apex of the CKM Unitarity Triangle. The hypothesis of $\beta = 0^{\circ}$ is ruled out at the level of $5.1$ standard deviations, and thus CP violation is observed in $B^{0} \to D^{(*)} h^{0}$ decays.