Branching ratios of $B_c\to AP$ decays in the perturbative QCD approach

Abstract

In this paper we calculate the branching ratios (BRs) of the 32 charmless hadronic $B_c\to AP$ decays ($A=a_1(1260),b_1(1235),K_1(1270),K_1(1400),f_1(1285),f_1(1420),h_1(1170),h_1(1380)$) by employing the perturbative QCD(pQCD) factorization approach. These considered decay channels can only occur via annihilation type diagrams in the standard model. From the numerical calculations and phenomenological analysis, we found the following results: (a) the pQCD predictions for the BRs of the considered $B_c$ decays are in the range of $10^{-6}$ to $10^{-8}$, while the CP-violating asymmetries are absent because only one type tree operator is involved here; (b) the BRs of $\Delta S=0$ processes are generally much larger than those of $\Delta S=1$ ones due to the large CKM factor of $|V_{ud}/V_{us}{|}^2\sim 19$; (c) since the behavior for ${}^1{P}_1$ meson is much different from that of ${}^3{P}_1$ meson, the BRs of $B_c\to A{(}^1{P}_1)P$ decays are generally larger than that of $B_c\to A{(}^3{P}_1)P$ decays; (d) the pQCD predictions for the BRs of $B_c \to (K_1(1270), K_1(1400)) \etap $ and $(K_1(1270),K_1(1400))K$ decays are rather sensitive to the value of the mixing angle ${\theta }_K$.

1+17 pges, 1 figure, refs. added and some clarifications made, accepted for publication in Phys.Rev.D

References in corpus (10)

• Transition form factors of B decays into p-wave axial-vector mesons in the perturbative QCD approach
• Hadronic charmless B decays B-> AP
• Study of Bc --> J/psi pi, etac pi decays with perturbative QCD approach
• The pure annihilation type B_c to M_2 M_3 decays in the perturbative QCD approach
• K1(1270)-K1(1400) Mixing Angle and New-Physics Effects in B to K1 l+ l- Decays
• Study of Bc -> BP,BV Decays with QCD Factorization
• Study of $B_c^{-}$ $\to$ $J/\psi {\pi }^{-}$, ${\eta }_c{\pi }^{-}$ Decays with QCD Factorization
• Non-leptonic charmless Bc decays and their search at LHCb
• Branching Ratios and CP Asymmetries of B \to a_1(1260) πand a_1(1260) K Decays
• What can we learn from $B\to a_1(1260)(b_1(1235))\pi (K)$ decays?

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