Chinese Physics C > 2013, Vol. 37 > Issue(9): 093102 DOI: 10.1088/1674-1137/37/9/093102

Semileptonic decays B_c→(η_c,J/Ψ)lvin the perturbative QCD approach

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In this paper we study the semileptonic decays of B _c ^-→(η _c,J/Ψ)l ^- v _l. We first evaluate the B _c→(η _c,J/Ψ) transition form factors F ₀( q ²), F ₊( q ²), V( q ²) and A _0,1,2( q ²) by employing the pQCD factorization approach, and then we calculate the branching ratios for all considered semileptonic decays. Based on the numerical results and the phenomenological analysis, we find that: (a) the pQCD predictions for the values of the B _c→η _cand B _c→J/Ψ transition form factors agree well with those obtained by using other methods; (b) the pQCD predictions for the branching ratios of the considered decays are Br(B _c ^-→η _ce ^- v _e(μ ^- v _μ)=(4.41 _-1.09 ^+1.22)×10 ^-3, Br(B _c ^-→η _cτ ^- v _τ) =(1.37 _-0.34 ^+0.37)×10 ^-3, Br(B _c ^-→J/Ψ e ^- v _e(μ ^- v _μ)) =(10.03 _-1.18 ^+1.33)×10 ^-3, and Br(B _c ^-→J/Ψτ ^- v _τ) =(2.92 _-0.34 ^+0.40)×10 ^-3; and (c) we also define and calculate two ratios of the branching ratios R _{η_c}and R _J/Ψ, which will be tested by LHCb and the forthcoming Super-B experiments.

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WANG Wen-Fei, FAN Ying-Ying and XIAO Zhen-Jun. Semileptonic decays B _c→(η _c,J/Ψ)l vin the perturbative QCD approach[J]. Chinese Physics C, 2013, 37(9): 093102. doi: 10.1088/1674-1137/37/9/093102

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Received: 2012-12-14
Revised: 2013-01-22

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沈阳化工大学材料科学与工程学院沈阳 110142

Semileptonic decays B_c→(η_c,J/Ψ)lvin the perturbative QCD approach

Corresponding author:XIAO Zhen-Jun,

Received Date:2012-12-14
Accepted Date:2013-01-22
Available Online:2013-09-05

Abstract:In this paper we study the semileptonic decays of B_c^-→(η_c,J/Ψ)l^-v_l. We first evaluate the B_c→(η_c,J/Ψ) transition form factorsF₀(q²),F₊(q²),V(q²) andA_0,1,2(q²) by employing the pQCD factorization approach, and then we calculate the branching ratios for all considered semileptonic decays. Based on the numerical results and the phenomenological analysis, we find that: (a) the pQCD predictions for the values of the B_c→η_cand B_c→J/Ψ transition form factors agree well with those obtained by using other methods; (b) the pQCD predictions for the branching ratios of the considered decays areBr(B_c^-→η_ce^-v_e(μ^-v_μ)=(4.41_-1.09^+1.22)×10^-3,Br(B_c^-→η_cτ^-v_τ) =(1.37_-0.34^+0.37)×10^-3,Br(B_c^-→J/Ψ e^-v_e(μ^-v_μ)) =(10.03_-1.18^+1.33)×10^-3, andBr(B_c^-→J/Ψτ^-v_τ) =(2.92_-0.34^+0.40)×10^-3; and (c) we also define and calculate two ratios of the branching ratiosR_{η_c}andR_J/Ψ, which will be tested by LHCb and the forthcoming Super-B experiments.