Revealing New Physics in $B_s^0\to D_s^{\mp }{K}^{\pm }$ Decays

Abstract

The $B_s^0\to D_s^{\mp }{K}^{\pm }$ system offers a determination of the Unitarity Triangle angle $\gamma$. Intrigued by an LHCb analysis showing a surprisingly large result in tension with information on the Unitarity Triangle and other $\gamma$ measurements, we make a transparent study of the measured observables, confirming the LHCb picture. The corresponding $\gamma$ puzzle at the $3\sigma$ level would require CP-violating contributions of New Physics, which should also manifest themselves in the corresponding decay branching ratios. Indeed, we find that the rates of the individual $B_s^0\to D_s^{\mp }{K}^{\pm }$ channels show puzzling patterns, in accordance with similar decays, with tensions up to $4.8\sigma$, thereby making the situation much more exciting. We present a formalism to include New-Physics effects in a model-independent way and apply it to the data to constrain the corresponding parameters. Interestingly, new contributions of moderate size could accommodate the data. Utilising this formalism in the future high-precision $B$ physics era may allow us to finally establish new sources of CP violation.

16 pages, 4 figures. The current version matches the published one

References in corpus (8)

• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• Branching Ratio Measurements of $B_s$ Decays
• Simultaneous determination of CKM angle $\gamma$ and charm mixing parameters
• Flavor Anomalies in Heavy Quark Decays
• Exploring $B_s\to D_s^{(\ast )\pm }{K}^{\mp }$ Decays in the Presence of a Sizable Width Difference $\Delta {\Gamma }_s$
• Exploiting dijet resonance searches for flavor physics
• First observation of the decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and a measurement of $|V_{ub}|/|V_{cb}|$
• Using $B_s^0\to D_s^{\mp }{K}^{\pm }$ Decays as a Portal to New Physics

Cited by in corpus (5)

• Diquark Explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
• Measurement of $CP$ asymmetry in $B_s^0\to D_s^{\mp }{K}^{\pm }$ decays
• Towards a Global Analysis of the $b\to c\bar{u}q$ Puzzle
• Prospect for measurement of $CP$-violating observables in $B_s^0\to D_s^{\mp }{K}^{\pm }$ decays at a future $Z$ factory