Charmless B s →PP, PV, VV decays based on the six-quark effective Hamiltonian with strong phase effects II

Abstract

We provide a systematic study of charmless B s → P P, P V, V V 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 penguindominated decay modes. In addition, we discuss the SU(3) flavor symmetry and show that the symmetry relations are generally respected.

Charmless weakBsdecays in the relativistic quark model

“…In Table III we compare our predictions for the form factors of weak B s decays at maximum recoil q 2 = 0 with results of other calculations [13,[15][16][17][18][19][20][21]. Light-cone sum rules, including one-loop radiative corrections to twist-2 and twist-3 contributions, and leading order twist-4 corrections are used in Ref.…”

“…In Ref. [20] the weak transition form factors are evaluated in the six-quark effective Hamiltonian approach. Perturbative QCD factorization approach with the inclusion of the next-to-leading-order corrections is used in Ref.…”

“…In Table X we present the predictions for the branching fractions of the charmless nonleptonic B s decays to ground state K mesons obtained in the factorization approximation with our model form factors. There we also give results of other theoretical approaches [16,20,[38][39][40] and available experimental data [2]. Calculations in Ref.…”

“…[39] use soft-collinear effective theory, while considerations in Ref. [20] are based on an approximate six-quark effective Hamiltonian. Experimentally only the B s → K − π + branching fraction was measured [2] and for the B s → K * 0 ρ 0 decay upper limit is available.…”

BsB⁎K and BsCerqueira1, Rodrigues2, Bracco3 et al. 2015Nuclear Physics A8040View full textAdd to dashboardCite

“…We can compare our results with other theoretical predictions using arguments of heavy hadron chiral perturbation theory (HHChPT), where the couplings for the bottom-light vertex g B * s BK are related to the charm-light vertex g D s D * K through the relation [18,19]:…”