Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry

TL;DR

This paper systematically analyzes the weak two-body hadronic decays of the $B_c$ meson using flavor SU(3) symmetry, deriving relations among decay amplitudes and widths, and considering mixing effects for phenomenological insights.

Contribution

It provides new systematic relations among decay amplitudes and widths of $B_c$ meson decays under flavor SU(3) symmetry, including mixing effects, aiding future experimental and theoretical studies.

Findings

Derived relations among decay amplitudes for various $B_c$ decay channels.

Established decay width relations under flavor SU(3) symmetry.

Incorporated $ ext{eta}- ext{eta'}$ and $ ext{omega}- ext{phi}$ mixing effects.

Abstract

A large number of $B_c$ meson events have been recorded at the LHCb detector, especially some two-body hadronic decay modes. We analyzed the weak decays of the $B_c$ meson into two hadron states under the flavor SU(3) symmetry. The relations among amplitudes of $B_c$ into $ D+P(V)$, $B+P(V)$, $P(V)+P(V)$, $T_8+\bar T_8$ and $T_{10}+\bar T_{10}$ were investigated systematically, where $P$ ( $V$) denotes a light pseudoscalar (vector) meson and $T_{8,10}$ denotes a light baryon. The $\eta-\eta'$ mixing and $\omega-\phi$ mixing effects are also considered for the phenomenological discussions. We obtained the relations among decay widths of different $B_c$ decay channels. These results are helpful to study the two-body decay properties of the $B_c$ meson and test the flavor SU(3) symmetry.