The nonleptonic charmless decays of $B_c$ meson

TL;DR

This paper investigates nonleptonic charmless $B_c$ meson decays into light mesons using (p)NRQCD and SCET frameworks, deriving factorization formulas and performing numerical calculations on specific transition amplitudes.

Contribution

It provides the first derivation of factorization formulas for $B_c$ decays into light mesons within the SCET framework and performs numerical analysis on key amplitudes.

Findings

Factorization formulas for $B_c o M_1 M_2$ decays are established.

Leading transition amplitudes are identified and analyzed.

Numerical calculation performed on the $A_{wB}^2$ amplitude.

Abstract

In this paper, with the framework of (p)NRQCD and SCET, the processes $B_c\to M_1 M_2$ are investigated. Here $M_{1(2)}$ denotes the light charmless meson, such as $\pi$, $\rho$, $K$ or $K^*$. Based on the SCET power counting rules, the leading transition amplitudes are picked out, which include $A_{wA}^2$, $A_{wB}^2$, $A_{wC}^2$, $A_{wD}^2$ and $A_{c}^0$. From SCET, their factorization formulae are proven. Based on the obtained factorization formulae, in particular, the numerical calculation on $A_{wB}^2$ is performed.