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Branching ratios of Bc→APB_c \to A P decays in the perturbative QCD approach

Abstract

In this paper we calculate the branching ratios (BRs) of the 32 charmless hadronic Bcβ†’APB_c \to A P decays (A=a1(1260),b1(1235),K1(1270),K1(1400),f1(1285),f1(1420),h1(1170),h1(1380)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 BcB_c decays are in the range of 10βˆ’610^{-6} to 10βˆ’810^{-8}, while the CP-violating asymmetries are absent because only one type tree operator is involved here; (b) the BRs of Ξ”S=0\Delta S= 0 processes are generally much larger than those of Ξ”S=1\Delta S =1 ones due to the large CKM factor of ∣Vud/Vus∣2∼19|V_{ud}/V_{us}|^2\sim 19; (c) since the behavior for 1P1^1P_1 meson is much different from that of 3P1^3P_1 meson, the BRs of Bcβ†’A(1P1)PB_c \to A(^1P_1) P decays are generally larger than that of Bcβ†’A(3P1)PB_c \to A(^3P_1) P decays; (d) the pQCD predictions for the BRs of B_c \to (K_1(1270), K_1(1400)) \etap and (K1(1270),K1(1400))K(K_1(1270), K_1(1400)) K decays are rather sensitive to the value of the mixing angle ΞΈK\theta_K.Comment: 1+17 pges, 1 figure, refs. added and some clarifications made, accepted for publication in Phys.Rev.

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    Last time updated on 03/01/2020