Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase ${\hat{I}}_s^2$

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 ${\hat{I}}_s^2$. 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 ${\hat{I}}_s^2$ 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.

LaTeX, 17 pages, 2 Eps figures