Charmless $$B_{(s)}\rightarrow VV$$ B ( s ) → V V decays in factorization-assisted topological-amplitude approach

Abstract

Within the factorization-assisted topologicalamplitude approach, we studied the 33 charmless B (s) → V V decays, where V stands for a light vector meson. According to the flavor flows, the amplitude of each process can be decomposed into eight different topologies. In contrast to the conventional flavor diagrammatic approach, we further factorize each topological amplitude into decay constant, form factors and unknown universal parameters. By χ 2 fitting 46 experimental observables, we extracted 10 theoretical parameters with χ 2 per degree of freedom around 2. Using the fitted parameters, we calculated the branching fractions, polarization fractions, CP asymmetries and relative phases between polarization amplitudes of each decay mode. The decay channels dominated by tree diagram have large branching fractions and large longitudinal polarization fraction. The branching fractions and longitudinal polarization fractions of color-suppressed decays become smaller. Current experimental data of large transverse polarization fractions in the penguin dominant decay channels can be explained by only one transverse amplitude of penguin annihilation diagram. Our predictions of the not yet measured channels can be tested in the ongoing LHCb experiment and the Belle-II experiment in the future.

Branching Ratio and CP Violation in B s 0 ¯ → ϕϕ Decay in the Framework of QCD Factorization

“…We find that direct CP violation (A dir CP ), CP violation in mixing (A mix CP ) and CP violation due to interference (A ∆Γ CP ) are 0.00355 ± 0.00152, −0.00629 ± 0.03119 and 0.99997 ± 0.00019, respectively. We find that the reported results are consistent with other available predictions and experimental observation [5,[8][9][10]18,20,21,[23][24][25].…”

“…The study of the CP violation in the B s system with the benefit of faster oscillation offers an excellent opportunity to detect the possible deviations from SM predictions and may lead to a new physics beyond the SM. Many authors have studied the decays of B s → PP, PV, VV [3,5,[12][13][14][15][16][17][18][19][20][21][22][23][24], with V being a light vector meson and P being a pseudoscalar meson. The decay of B s → VV reveals more dynamics than B s → PV or B s → PP.…”

“…In order to get a clear idea of CP violation, one needs to know the exact BR of the decay modes which motivates us to make an analytic calculation of the BR(B 0 s → φφ). The analytic calculation of the BR of B s → VV decays is achieved by many approaches as Quantum Chromodynamics Factorization (QCDF) [5,18], the Perturbative QCD (PQCD) [20,21], the Soft-Collinear Effective Theory (SCET) [22,23] and Factorization-Assisted Topological amplitude (FAT) [24].…”

Branching fractions and CP asymmetries of the quasi-two-body decays in $$B_{s} \rightarrow K^0({\overline{K}}^0)K^\pm \pi ^\mp $$ within PQCD approach

“…It is true that in PQCD approach the wave functions are the most important inputs which affect remarkably the predictions and are the main sources of the theoretical uncertainties. For the B s meson and K meson, the wave functions have been well discussed and established in the charm/charmless two-body decays [96][97][98][99][100][101][102][103][104][105][106][107][108]. For the K π -pair, a wave function K π describes the hadronization of two collinear quarks, together with other quarks popped out of the vacuum, into two collimated mesons.…”

Weak decays of doubly heavy baryons: W-exchange

“…The flavor SU (3) symmetry is an effective way to deal with the exclusive decays of hadrons, especially for heavy mesons [13][14][15][16][17] or heavy baryons [18][19][20][21][22][23][24][25][26][27][28][29][30], which are difficult to analysed through the factorization theorem (Refs. [31][32][33][34][35][36][37][38] for heavy mesons and Refs.…”