Two-body Charmed $B$ Meson Decays In Factorization Assisted Topological Amplitude Approach

TL;DR

This paper presents a refined analysis of two-body charmed B meson decays using a factorization assisted topological amplitude approach that incorporates flavor SU(3) symmetry breaking, reducing parameters and improving predictions.

Contribution

It introduces a novel method that accounts for SU(3) breaking effects with only four universal parameters, enhancing the predictive power over traditional approaches.

Findings

Predicted branching fractions for 120 decay modes align with experimental data.

Reduced the number of free parameters compared to conventional methods.

Analyzed the impact of different topological diagrams and symmetry breaking effects.

Abstract

We analyze the two-body charmed $B$ meson decays $B_{u,d,s} \to D^{(*)}P(V)$ in the factorization assisted topological amplitude approach, where $P(V)$ denoting a light pseudoscalar (vector) meson. Different from the conventional topological diagram approach, flavor $SU(3)$ symmetry breaking effects are taken into account. Therefore only four universal nonperturbative parameters are introduced to describe the contribution from non-factorization diagrams for all the decay channels. The number of free parameters and the $\chi^2$ per degree of freedom are both significantly reduced comparing with the conventional topological diagram approach. With the 4 fitted parameters, we predict the branching fractions of 120 decay modes induced by both $b\to c$ and $b\to u$ transitions, which are well consistent with the measured data or to be tested on the future experiments. We also investigated the relative size of different topological diagrams, isospin violation, flavor $SU(3)$ symmetry breaking effects, compared with previous approaches.