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

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 $\varphi$ 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.

arXiv comment36 pages,2 figures

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