Model-independent measurement of the CKM angle γ using B<SUP>0</SUP> → DK<SUP>*0</SUP> decays with D → K <sub>S</sub> <SUP>0</SUP> <i>π</i> <SUP>+</SUP><i>π</i> <SUP>-</SUP> and K <sub>S</sub> <SUP>0</SUP> K<SUP>+</SUP>K<SUP>-</SUP>



Aaij, R, Abellan Beteta, C, Adeva, B, Adinolfi, M, Ajaltouni, Z, Akar, S, Albrecht, J, Alessio, F, Alexander, M, Ali, S
et al (show 721 more authors) (2016) Model-independent measurement of the CKM angle γ using B<SUP>0</SUP> → DK<SUP>*0</SUP> decays with D → K <sub>S</sub> <SUP>0</SUP> <i>π</i> <SUP>+</SUP><i>π</i> <SUP>-</SUP> and K <sub>S</sub> <SUP>0</SUP> K<SUP>+</SUP>K<SUP>-</SUP>. JOURNAL OF HIGH ENERGY PHYSICS, 06 (6). 131-.

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Abstract

A binned Dalitz plot analysis of the decays $B^0 \to D K^{\ast 0}$, with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ and $K_{S}^{0} K^{+} K^{-}$, is performed to measure the observables $x_\pm$ and $y_\pm$, which are related to the CKM angle $\gamma$ and the hadronic parameters of the decays. The $D$ decay strong phase variation over the Dalitz plot is taken from measurements performed at the CLEO-c experiment, making the analysis independent of the $D$ decay model. With a sample of proton-proton collision data, corresponding to an integrated luminosity of $3.0\,\rm{fb}^{-1}$, collected by the LHCb experiment, the values of the $CP$ violation parameters are found to be $x_+ = 0.05 \pm 0.35 \pm 0.02$, $x_-=-0.31\pm 0.20 \pm 0.04$, $y_+=-0.81\pm 0.28\pm 0.06$ and $y_-=0.31\pm 0.21 \pm 0.05$, where the first uncertainties are statistical and the second systematic. These observables correspond to values $\gamma$ = $(71 \pm 20)^\circ$, $r_{B^0} = 0.56\pm 0.17$ and $\delta_{B^0} = (204\,^{+21}_{-20})^\circ$. The parameters $r_{B^0}$ and $\delta_{B^0}$ are the magnitude ratio and strong phase difference between the suppressed and favoured $B^0$ decay amplitudes, and have been measured in a region of $\pm 50$ MeV/$c^2$ around the $K^{\ast}(892)^{0}$ mass and with the magnitude of the cosine of the $K^{\ast}(892)^{0}$ helicity angle larger than 0.4.

Item Type: Article
Additional Information: All figures and tables, along with any supplementary material and additional information, are available at https://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2016-006.html
Uncontrolled Keywords: B physics, CKM angle gamma, CP violation, Flavor physics, Hadron-Hadron scattering (experiments)
Depositing User: Symplectic Admin
Date Deposited: 26 Jul 2016 14:27
Last Modified: 18 Oct 2023 01:23
DOI: 10.1007/JHEP06(2016)131
Open Access URL: https://arxiv.org/abs/1604.01525
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3002537