arXiv · 2407.18001
Measurement of $D^0-\overline{D}^0$ mixing and search for $CP$ violation with $D^0\rightarrow K^+\pi^-$ decays
Abstract
A measurement of the time-dependent ratio of the $D^0\rightarrow K^+\pi^-$ to $\overline{D}^0\rightarrow K^+\pi^-$ decay rates is reported. The analysis uses a sample of proton-proton collisions corresponding to an integrated luminosity of 6 fb$^{-1}$ recorded by the LHCb experiment from 2015 through 2018 at a center-of-mass energy of 13 TeV. The $D^0$ meson is required to originate from a $D^{*+}\rightarrow D^0\pi^+$ decay, such that its flavor at production is inferred from the charge of the accompanying pion. The measurement is performed simultaneously for the $K^+\pi^-$ and $K^-\pi^+$ final states, allowing both mixing and $CP$-violation parameters to be determined. The value of the ratio of the decay rates at production is determined to be $R_{K\pi} = (343.1 \pm 2.0) \times 10^{-5}$. The mixing parameters are measured to be $c_{K\pi} = (51.4 \pm 3.5) \times 10^{-4}$ and $c_{K\pi}^{\prime} = (13 \pm 4) \times 10^{-6}$, where $\sqrt{R_{K\pi}}c_{K\pi}$ is the linear coefficient of the expansion of the ratio as a function of decay time in units of the $D^0$ lifetime, and $c_{K\pi}^{\prime}$ is the quadratic coefficient, both averaged between the $K^+\pi^-$ and $K^-\pi^+$ final states. The precision is improved relative to the previous best measurement by approximately 60%. No evidence for $CP$ violation is found.
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LHCb collaboration, R. Aaij, A. S. W. Abdelmotteleb, C. Abellan Beteta, F. Abudinén, T. Ackernley, A. A. Adefisoye, B. Adeva, M. Adinolfi, P. Adlarson, C. Agapopoulou, C. A. Aidala, Z. Ajaltouni, S. Akar, K. Akiba, P. Albicocco, J. Albrecht, F. Alessio, M. Alexander, Z. Aliouche, P. Alvarez Cartelle, R. Amalric, S. Amato, J. L. Amey, Y. Amhis, L. An, L. Anderlini, M. Andersson, A. Andreianov, P. Andreola, M. Andreotti, D. Andreou, A. Anelli, D. Ao, F. Archilli, M. Argenton, S. Arguedas Cuendis, A. Artamonov, M. Artuso, E. Aslanides, R. Ataíde Da Silva, M. Atzeni, B. Audurier, D. Bacher, I. Bachiller Perea, S. Bachmann, M. Bachmayer, J. J. Back, P. Baladron Rodriguez, V. Balagura, W. Baldini, H. Bao, J. Baptista de Souza Leite, M. Barbetti, I. R. Barbosa, R. J. Barlow, M. Barnyakov, S. Barsuk, W. Barter, M. Bartolini, J. Bartz, J. M. Basels, G. Bassi, B. Batsukh, A. Bay, A. Beck, M. Becker, F. Bedeschi, I. B. Bediaga, S. Belin, V. Bellee, K. Belous, I. Belov, I. Belyaev, G. Benane, G. Bencivenni, E. Ben-Haim, A. Berezhnoy, R. Bernet, S. Bernet Andres, A. Bertolin, C. Betancourt, F. Betti, J. Bex, Ia. Bezshyiko, J. Bhom, M. S. Bieker, N. V. Biesuz, P. Billoir, A. Biolchini, M. Birch, F. C. R. Bishop, A. Bitadze, A. Bizzeti, T. Blake, F. Blanc, J. E. Blank, S. Blusk, V. Bocharnikov, J. A. Boelhauve. 2024-07-25. Measurement of $D^0-\overline{D}^0$ mixing and search for $CP$ violation with $D^0\rightarrow K^+\pi^-$ decays. https://doi.org/10.1103/physrevd.111.012001
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