Simultaneous determination of CKM angle $\gamma$ and charm mixing parameters

Abstract

A combination of measurements sensitive to the $CP$ violation angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa unitarity triangle and to the charm mixing parameters that describe oscillations between $D^0$ and ${\bar{D}}^0$ mesons is performed. Results from the charm and beauty sectors, based on data collected with the LHCb detector at CERN's Large Hadron Collider, are combined for the first time. This method provides an improvement on the precision of the charm mixing parameter $y$ by a factor of two with respect to the current world average. The charm mixing parameters are determined to be $x=(0.400_{-0.053}^{+0.052})\%$ and $y=(0.630_{-0.030}^{+0.033})\%$. The angle $\gamma$ is found to be $\gamma =(65.4_{-4.2}^{+3.8}{)}^{\circ }$ and is the most precise determination from a single experiment.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2021-033.html (LHCb public pages)

References in corpus (3)

• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• First determination of the $CP$ content of $D\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ and updated determination of the $CP$ contents of $D\to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $D\to K^{+}{K}^{-}{\pi }^0$
• CP violation and material interaction of neutral kaons in measurements of the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ decays where $D\to K_{\text{S}}^0{\pi }^{+}{\pi }^{-}$

Cited by in corpus (19)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• New Physics in $B_q^0-{\bar{B}}_q^0$ Mixing: Present Challenges, Prospects, and Implications for $B_q^0\to {\mu }^{+}{\mu }^{-}$
• Penguin Effects in $B_d^0\to J/\psi K_S^0$ and $B_s^0\to J/\psi \varphi$
• Revealing New Physics in $B_s^0\to D_s^{\mp }{K}^{\pm }$ Decays
• Using $B_s^0\to D_s^{\mp }{K}^{\pm }$ Decays as a Portal to New Physics
• Improved measurement of the strong-phase difference ${\delta }_D^{K\pi }$ in quantum-correlated $D\bar{D}$ decays
• Loopy Determinations of $V_{ub}$ and $V_{cb}$
• Measurement of the charm mixing parameter $y_{CP}-y_{CP}^{K\pi }$ using two-body $D^0$ meson decays
• Recent advances in charm mixing and $CP$ violation at LHCb
• Measurement of $D^0-{\overline{D}}^0$ mixing and search for $CP$ violation with $D^0\to K^{+}{\pi }^{-}$ decays
• Determination of the $CP$-even fraction of $D^0\to K_S^0{\pi }^{+}{\pi }^{-}{\pi }^0$
• Observation of the $B^0\to {\overline{D}}^{\ast 0}{K}^{+}{\pi }^{-}$ and $B_s^0\to {\overline{D}}^{\ast 0}{K}^{-}{\pi }^{+}$ decays
• Measurement of $CP$ violation observables in $D^{+}\to K^{-}{K}^{+}{\pi }^{+}$ decays
• Three decades of FCNC studies in 3-3-1 model with right-handed neutrinos: from $Z^{\prime }$-dominance to the alignment limit
• Measurement of the CKM angle $\gamma$ in the $B^0\to D{K}^{\ast 0}$ channel using self-conjugate $D\to K_S^0{h}^{+}{h}^{-}$ decays
• Toward extracting $\gamma$ from $B\to DK$ without binning
• Re-evaluation of the isoscalar mixing angle within selected mesonic nonets
• $B^0-{\bar{B}}^0$ entanglement for an ideal experiment on the direct CP violation ${\varphi }_3/\gamma$ phase