Fits of Weak Annihilation and Hard Spectator Scattering Corrections in $B_{u,d}\to VV$ Decays

Abstract

In this paper, the contributions of weak annihilation and hard spectator scattering in $B\to \rho K^{\ast }$, $K^{\ast }{\bar{K}}^{\ast }$, $\varphi K^{\ast }$, $\rho \rho$ and $\varphi \varphi$ decays are investigated within the framework of QCD factorization. Using the experimental data available, we perform ${\chi }^2$ analyses of end-point parameters in four cases based on the topology-dependent and polarization-dependent parameterization schemes. The fitted results indicate that: (i) In the topology-dependent scheme, the relation $({\rho }_A^i,{\varphi }_A^i)\ne ({\rho }_A^f,{\varphi }_A^f)$ gotten through $B\to PP$ and $PV$ decays is favored by the penguin-dominated $B\to VV$ decays at 95\% C. L., (ii) The large hard spectator scattering corrections and/or the simplification $({\rho }_H,{\varphi }_H)=({\rho }_A^i,{\varphi }_A^i)$ are challenged by $\mathcal{B}({\bar{B}}^0\to {\rho }^0{\rho }^0)$, even though they are allowed by $B\to PP$ and $PV$ decays and helpful for resolving "$\pi \pi$ puzzle", (iii) In the polarization-dependent scheme, the relation $({\rho }_A^L,{\varphi }_A^L)\ne ({\rho }_A^T,{\varphi }_A^T)$ is always required. Moreover, we have updated the theoretical results for $B\to VV$ decays with the best-fit values of end-point parameters. A few observables, such as the ones of pure annihilation $B_d\to \varphi \varphi$ decay, are also identified for probing the annihilation corrections.

25 pages, 12 figures

References in corpus (12)

• The Zero-Bin and Mode Factorization in Quantum Field Theory
• 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
• B->V gamma Beyond QCD Factorisation
• Updating B --> PP, VP decays in the framework of flavor symmetry
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Power Corrections in Charmless Nonleptonic B-Decays: Annihilation is Factorizable and Real
• B- -> pi- pi0/rho- rho0 to NNLO in QCD factorization
• Spectator Scattering and Annihilation Contributions as a Solution to the $\pi K$ and $\pi \pi$ Puzzles within QCD Factorization Approach
• A Combined Fit on the Annihilation Corrections in $B_{u,d,s}$ $\to$ $PP$ Decays Within QCDF
• Revisiting the Annihilation Corrections in Non-leptonic ${\bar{B}}_s^0$ Decays within QCD Factorization
• Constraints on hard spectator scattering and annihilation corrections in $B_{u,d}$ $\to$ $PV$ decays within QCD factorization

Cited by in corpus (7)

• Global Analysis of Charmless $B$ Decays into Two Vector Mesons in Soft-Collinear Effective Theory
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Enhanced Next-to-Leading-Order Corrections to Weak Annihilation $B$-Meson Decays
• Time-reversal asymmetries and angular distributions in ${\Lambda }_b\to \Lambda V$
• Study of the weak annihilation contributions in charmless $B_s\to VV$ decays
• Searching for possible evidences of new physics in $B\to V_1{V}_2$
• Pure annihilation decays of $B_s^0\to a_0^{+}{a}_0^{-}$ and $B_d^0\to K_0^{\ast +}{K}_0^{\ast -}$ in the PQCD approach