Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach

Abstract

We study 20 charmless hadronic $B\to f_{1}P$ decays in the perturbative QCD(pQCD) formalism with $f_1$ representing axial-vector mesons $f_1(1285)$ and $f_1(1420)$ that result from a mixing of quark-flavor $f_{1q}$ and $f_{1s}$ states with the angle ${\varphi }_{f_1}$. The estimations of branching ratios and CP asymmetries of the considered $B\to f_{1}P$ decays are presented in the pQCD approach with ${\varphi }_{f_1}\sim 24^{\circ }$ from recently measured $B_{d/s}\to J/\psi f_1(1285)$ decays. It is found that (a) the tree(penguin) dominant $B^{+}\to f_1{\pi }^{+}(K^{+})$ decays with large branching ratios[$\mathcal{O}(10^{-6})$] and large direct CP violations(around 14% $\sim$ 28% in magnitude) simultaneously are believed to be clearly measurable at the LHCb and Belle II experiments; (b) the $B_d\to f_1{K}_S^0$ and $B_s\to f_1(\eta ,{\eta }^{\prime })$ decays with nearly pure penguin contributions and safely negligible tree pollution also have large decay rates in the order of $10^{-6}\sim 10^{-5}$, which can be confronted with the experimental measurements in the near future; (c) as the alternative channels, the $B^{+}\to f_1({\pi }^{+},K^{+})$ and $B_d\to f_1{K}_S^0$ decays have the supplementary power in providing more effective constraints on the Cabibbo-Kobayashi-Maskawa weak phases $\alpha$, $\gamma$, and $\beta$ correspondingly, which are explicitly analyzed through the large decay rates and the direct and mixing-induced CP asymmetries in the pQCD approach and are expected to be stringently examined by the measurements with high precision. The complete abstraction can be found in the paper.

Comments: revtex file, 25 pages, 6 figures, 4 tables; Matching the published version