Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase $\beta_s$

TL;DR

This paper investigates nonleptonic $B_s$ decays to charmonium and light mesons to measure the $B_s$-${ar B}_s$ mixing phase $eta_s$, using symmetry relations and considering potential new physics effects.

Contribution

It introduces a method to analyze $B_s$ decays for $eta_s$ determination, incorporating $SU(3)_F$ symmetry and exploring new physics constraints.

Findings

Feasibility of measuring $eta_s$ in various decay channels.

Relation of $B_s$ decay modes to $B$ decay channels via symmetry.

Framework to constrain new physics parameters from decay measurements.

Abstract

We analyze nonleptonic $B_s$ decays to a charmonium state and a light meson, induced by the $b \to c {\bar c}s$ transition, which are useful to access the $B_s$-${\bar B}_s$ mixing phase $\beta_s$. We use generalized factorization and $SU(3)_F$ symmetry to relate such modes to correspondent $B$ decay channels. We discuss the feasibility of the measurements in the various channels, stressing the importance of comparing different determinations of $\beta_s$ in view of the hints of new physics effects (NP) recently emerged in the $B_s$ sector. Finally, adopting a general parametrization of NP contributions to the decay amplitudes, we discuss how to experimentally constrain new physics parameters.