Charmless $B_s\to PP, PV, VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects II

TL;DR

This paper systematically studies charmless $B_s$ decays into pseudoscalar and vector mesons using a six-quark operator effective Hamiltonian, incorporating strong phase effects, and predicts branching ratios, CP asymmetries, and polarization observables.

Contribution

It introduces a comprehensive calculation framework based on an approximate six-quark operator Hamiltonian, including power corrections and strong phases, to predict $B_s$ decay observables.

Findings

Weak annihilation with strong phases significantly affects decay observables.

Predictions for branching ratios and CP asymmetries align with existing data.

SU(3) flavor symmetry relations are generally upheld.

Abstract

We provide a systematic study of charmless $B_s \to PP, PV, VV$ decays ($P$ and $V$ denote pseudoscalar and vector mesons, respectively) based on an approximate six-quark operator effective Hamiltonian from QCD. The calculation of the relevant hard-scattering kernels is carried out, the resulting transition form factors are consistent with the results of QCD sum rule calculations. By taking into account important classes of power corrections involving "chirally-enhanced" terms and the vertex corrections as well as weak annihilation contributions with non-trivial strong phase, we present predictions for the branching ratios and CP asymmetries of $B_s$ decays into PP, PV and VV final states, and also for the corresponding polarization observables in VV final states. It is found that the weak annihilation contributions with non-trivial strong phase have remarkable effects on the observables in the color-suppressed and penguin-dominated decay modes. In addition, we discuss the SU(3) flavor symmetry and show that the symmetry relations are generally respected.