$B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach

Abstract

We investigate the $B_{d,s}^0\to f_1{f}_1$ decays in the framework of perturbative QCD(PQCD) approach with a referenced value ${\varphi }_{f_1}\sim 24^{\circ }$. Here, $f_1$ denotes the axial-vector mesons $f_1(1285)$ and $f_1(1420)$ with mixing angle ${\varphi }_{f_1}$ in the quark-flavor basis. The observables such as branching ratios, direct CP violations, and polarization fractions of the $B_s^0\to f_1{f}_1$ decays are predicted for the first time. We find that: (i) the almost pure penguin modes $B_s^0\to f_1{f}_1$ have large branching ratios in the order of $10^{-6}\sim 10^{-5}$ due to the Cabibbo-Kobayashi-Maskawa enhancement and generally constructive interferences between the amplitudes of $B_s^0\to f_n{f}_s$ and $B_s^0\to f_s{f}_s$ with $f_n$ and $f_s$ being the quark-flavor states of $f_1$ mesons; (ii) The observables receive important contributions from the weak annihilation diagrams in the PQCD approach. In particular, without the annihilation contributions, the $B_s^0\to f_1(1420)f_1(1420)$ branching ratio will decrease about 81% and its longitudinal polarization fraction will reduce around 43%. And (iii) the dependence of the $B_{d,s}^0\to f_1{f}_1$ decay rates on ${\varphi }_{f_1}$ exhibits some interesting line shapes, whose confirmations would be helpful to constrain the determination of ${\varphi }_{f_1}$ inversely. All the PQCD predictions await for the (near) future examinations at Large Hadron Collider beauty and/or Belle-II experiments to further understand the properties of the axial-vector mesons and the perturbative dynamics released from the considered decay modes.

19 pages, 3 figures, and 6 tables. the values in (A12) corrected, the numerical results and conclusions remain unchanged

References in corpus (35)

• 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
• Isoscalar meson spectroscopy from lattice QCD
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• On Puzzles and Non-Puzzles in B -> pi pi, pi K Decays
• NNLO vertex corrections in charmless hadronic B decays: Real part
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Hadronic charmless B decays B-> AP
• B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• Light axial vector mesons
• Is There Still a B -> pi K Puzzle?
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• 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
• Global Analysis of Charmless $B$ Decays into Two Vector Mesons in Soft-Collinear Effective Theory
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• $B\to \pi \pi$ decays and effects of the next-to-leading order contributions
• Next-to-leading-order time-like pion form factors in $k_T$ factorization
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Two-loop non-leptonic penguin amplitude in QCD factorization
• Analytic Resolution of Puzzle in $B\to K\pi$ decays
• Possible complex annihilation and B -> K pi direct CP asymmetry
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• What can we learn from $B\to a_1(1260)(b_1(1235))\pi (K)$ decays?
• The B-->pi K Puzzle and Supersymmetry
• 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
• Generalized analysis on $B\to K^{\ast }\rho$ within and beyond the Standard Model $-$ Can it help understand the $B\to K\pi$ puzzle?
• Nonleptonic decays of $B\to (f_1(1285),f_1(1420))V$ in the perturbative QCD approach
• A simultaneous explanation of the large phase in B_s-\bar B_s mixing and B --> ππ/ πK puzzles in R-parity violating supersymmetry
• Penguin-dominated $B\to \varphi K_1(1270)$ and $\varphi K_1(1400)$ decays in the perturbative QCD approach
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach
• The B ---> π K puzzle and the Bulk Randall-Sundurm model
• A solution to B --> pi pi puzzle and B --> K K

Cited by in corpus (4)

• Ordinary and exotic mesons in the extended Linear Sigma Model
• Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons
• Phenomenological studies on neutral $B$-meson decays into $J/\psi f_1$ and ${\eta }_c{f}_1$
• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach