Analysis of Charmless Two-body B decays in Factorization Assisted Topological Amplitude Approach

TL;DR

This paper employs a factorization assisted topological amplitude approach to analyze charmless two-body B decays, incorporating SU(3) breaking effects, leading to improved predictions and resolution of longstanding puzzles.

Contribution

It introduces a novel method that combines factorization with topological amplitudes, reducing free parameters and accurately fitting experimental data for charmless B decays.

Findings

Accurately predicts branching fractions and CP asymmetries for nearly 100 B decay modes.

Resolves the long-standing ππ and πK CP puzzles.

Reduces the number of free parameters compared to previous analyses.

Abstract

We analyze charmless two-body non-leptonic B decays $B \to PP, PV$ under the framework of factorization assisted topological amplitude approach, where $P(V)$ denotes a light pseudoscalar (vector) meson. Compared with the conventional flavor diagram approach, we consider flavor $SU(3)$ breaking effect assisted by factorization hypothesis for topological diagram amplitudes of different decay modes, factorizing out the corresponding decay constants and form factors. The non-perturbative parameters of topology diagram magnitudes $\chi$ and strong phase $\phi$ are universal that can be extracted by $\chi^2$ fit from current abundant experimental data of charmless B decays. The number of free parameters and the $\chi^2$ per degree of freedom are both reduced comparing with previous analysis. With these best fitted parameters, we predict branching fractions and $CP$ asymmetry parameters of nearly 100 $B_{u,d}$ and $B_s$ decay modes. The long-standing $\pi \pi$ and $\pi K$-$CP$ puzzles are resolved simultaneoulsy.