Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach

Abstract

In this paper, we will make systematic calculations for the branching ratios and the CP-violating asymmetries of the twenty one ${\bar{B}}_s^0\to PV$ decays by employing the perturbative QCD (PQCD) factorization approach. Besides the full leading-order (LO) contributions, all currently known next-to-leading order (NLO) contributions are taken into account. We found numerically that: (a) the NLO contributions can provide $\sim 40\%$ enhancement to the LO PQCD predictions for $\mathcal{B}({\bar{B}}_s^0\to K^0{\bar{K}}^{\ast 0})$ and $\mathcal{B}({\bar{B}}_s^0\to K^{\pm }{K}^{\ast \mp })$, or a $\sim 37\%$ reduction to $ \calb(\bar{B}_s^0 \to π^{-} K^{*+})$, and we confirmed that the inclusion of the known NLO contributions can improve significantly the agreement between the theory and those currently available experimental measurements, (b) the total effects on the PQCD predictions for the relevant $B\to P$ transition form factors after the inclusion of the NLO twist-2 and twist-3 contributions is generally small in magnitude: less than $10\%$ enhancement respect to the leading order result, (c) for the "tree" dominated decay ${\bar{B}}_s^0\to K^{+}{\rho }^{-}$ and the "color-suppressed-tree" decay ${\bar{B}}_s^0\to {\pi }^0{K}^{\ast 0}$, the big difference between the PQCD predictions for their branching ratios are induced by different topological structure and by interference effects among the decay amplitude ${\mathcal{A}}_{T,C}$ and ${\mathcal{A}}_P$: constructive for the first decay but destructive for the second one, and (d) for $\bar{B}_s^0 \to V(η, \etar)$ decays, the complex pattern of the PQCD predictions for their branching ratios can be understood by rather different topological structures and the interference effects between the decay amplitude $\cala(Vη_q)$ and $\cala(Vη_s)$ due to the $η-\etar$ mixing.

18 pages, 2 figures, 3 tables. Some modifications of the text. Several new references are added

References in corpus (21)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Strong constraints on the rare decays Bs -> mu+ mu- and B0 -> mu+ mu-
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• Charmless $B_{(s)}\to VV$ Decays in Factorization-Assisted Topological-Amplitude Approach
• Observation of the decay $B_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ and evidence for $B^0\to \varphi {\pi }^{+}{\pi }^{-}$
• Observation of the annihilation decay mode $B^0\to K^{+}{K}^{-}$
• Global Analysis of Charmless $B$ Decays into Two Vector Mesons in Soft-Collinear Effective Theory
• $B\to \pi \pi$ decays and effects of the next-to-leading order contributions
• Measurement of the polarization amplitudes and triple product asymmetries in the B_s^0 -> phi phi decay
• Exclusive $B\to PV$ Decays and CP Violation in the General two-Higgs-doublet Model
• NLO contributions to $B\to K{K}^{\ast }$ Decays in the pQCD approach
• The NLO contributions to the scalar pion form factors and the $\mathcal{O}({\alpha }_s^2)$ annihilation corrections to the $B\to \pi \pi$ decays
• ${\bar{B}}_s^0\to ({\pi }^0{\eta }^{(\ast )},{\eta }^{(\ast )}{\eta }^{(\ast )})$ decays and the effects of next-to-leading order contributions in the perturbative QCD approach
• Search for the $B_s^0\to {\eta }^{\prime }\varphi$ decay
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2014

Cited by in corpus (10)

• Quasi-two-body decays $B_{(s)}\to K^{\ast }(892)h\to K\pi h$ in perturbative QCD approach
• Anatomy of $B_s\to VV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• Global Analysis of hadronic two-body B decays in the perturbative QCD approach
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• Study of ${\bar{B}}_s\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ decays in the PQCD factorization approach with the lattice QCD input
• The PQCD approach towards to next-to-leading order: a short review
• Rare nonleptonic ${\bar{B}}_s^0$ decays as probes of new physics behind $b\to s\mu \bar{\mu }$ anomalies
• Anatomy of $B_s\to PP$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• Revisiting $B_s\to PP$ and $PV$ Decays with Contributions from ${\varphi }_{B2}$ with perturbativen QCD approach
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing