Study of the pure annihilation $B_c\to A_2{A}_3$ decays

Abstract

In this work, we calculate the {\it CP}-averaged branching ratios and the polarization fractions of the charmless hadronic $B_c\to A_2{A}_3$ decays within the framework of perturbative QCD(pQCD) approach, where $A$ is either a light ${}^3{P}_1$ or ${}^1{P}_1$ axial-vector meson. These thirty two decay modes can occur through the annihilation topology only. Based on the perturbative calculations and phenomenological analysis, we find the following results: (a) the branching ratios of the considered thirty two $B_c\to A_2{A}_3$ decays are in the range of $10^{-5}$ to $10^{-8}$; (b) $B_c\to a_1{b}_1$, $\ov{K}_1^0 K_1^+$ and some other decays have sizable branching ratios and can be measured at the LHC experiments; (c) the branching ratios of $B_c\to A_2{(}^1{P}_1)A_3{(}^1{P}_1)$ decays are generally much larger than those of $B_c\to A_2{(}^3{P}_1)A_3{(}^3{P}_1)$ decays with a factor around (10 $\sim$ 100); (d) the branching ratios of $B_c \to \ov{K}_1^0 K_1^+$ decays are sensitive to the value of ${\theta }_K$, which will be tested by the running LHC and forthcoming SuperB experiments; (e) the large longitudinal polarization contributions govern most considered decays and play the dominant role.

19 pages, 1 eps figure. arXiv admin note: some text overlap with arXiv:1003.3929

References in corpus (14)

• Heavy quarkonium: progress, puzzles, and opportunities
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Measurement of the Bc meson mass in the exclusive decay Bc --> Jpsi Pi
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Hadronic charmless B decays B-> AP
• Study of Bc --> J/psi pi, etac pi decays with 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
• Light scalar mesons and charmless hadronic $B_c\to SP,SV$ decays in the perturbative QCD approach
• Decays of bottom mesons emitting pseudoscalar and tensor mesons in ISGW II model
• 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?
• Decays of bottom mesons emitting tensor meson in final state using ISGW II model

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