Nonleptonic charmless two-body $B\to AT$ decays

Abstract

In this work we have studied hadronic charmless two-body B decays involving p-wave mesons in final state. We have calculated branching ratios of $B\to AT$ decays (where $A$ and $T$ denotes a ${}^3{P}_1$ axial-vector and a tensor meson, respectively), using $B\to T$ form factors obtained in the covariant light-front (CLF) approach, and the full effective Hamiltonian. We have obtained that $\mathcal{B}(B^0\to a_1^{+}{a}_2^{-})=42.47\times 10^{-6}$, $\mathcal{B}(B^{+}\to a_1^{+}{a}_2^0)=22.71\times 10^{-6}$, $\mathcal{B}(B\to f_1{K}_2^{\ast })=(2.8-4)\times 10^{-6}$ (with $f_1=,f_1(1285),f_1(1420)$) for ${\theta }_{{}^3{P}_1}=53.2^{\circ }$, $\mathcal{B}(B\to f_1(1420)K_2^{\ast })=(5.91-6.42)\times 10^{-6}$ with ${\theta }_{{}^3{P}_1}=27.9^{\circ }$, $\mathcal{B}(B\to K_1{a}_2)=(1.7-5.7)[1-9.3]\times 10^{-6}$ for ${\theta }_{K_1}=-37^{\circ }[-58^{\circ }]$ where $K_1=K_1(1270),K_1(1400)$. It seems that these decays can be measured in experiments at $B$ factories. Additionally, we have found that $\mathcal{B}(B\to K_1(1270)a_2)/\mathcal{B}(B\to K_1(1400)a_2)$ and $\mathcal{B}(B\to f_1(1420)K_2^{\ast })/\mathcal{B}(B\to f_1(1285)K_2^{\ast })$ ratios could be useful to determine numerical values of mixing angles ${\theta }_{K_1}$ and ${\theta }_{{}^3{P}_1}$, respectively.

Comments: 12 pages