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arXiv 1502.05104hep-phhep-ex
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了解稀有衰变$B_s\toπ^+π^-\ell^+\ell^-$

To understand the rare decay $B_s\toπ^+π^-\ell^+\ell^-$

Wei Wang, Rui-Lin Zhu

摘要:

受LHCb测量的启发,我们分析了$B_s\to π^+π^-\ell^+\ell^-$在运动学区域中的衰变,在该区域中,π介子对在$0.5$ - $1.3$ GeV范围内具有不变质量,并且μ子对不源自共振。基于手征微扰理论,采用么正化方法预测了由奇异$\bar ss$电流引起的标量$π^+π^-$形状因子。利用双强子光锥分布振幅,我们可以在光锥求和规则方法中导出$B_s\to π^+π^-$跃迁形状因子。合并这些量,我们提出了我们的微分衰减宽度的结果,可以大致同意与实验数据。未来在LHC和KEKB上更精确的测量有助于验证我们的形式和确定这种方法的输入。

英文摘要:

Motivated by the LHCb measurement, we analyze the $B_s\to π^+π^-\ell^+\ell^-$ decay in the kinematics region where the pion pairs have invariant mass in the range $0.5$-$1.3$ GeV and muon pairs do not originate from a resonance. The scalar $π^+π^-$ form factor induced by the strange $\bar ss$ current is predicted by the unitarized approach rooted in the chiral perturbation theory. Using the two-hadron light-cone distribution amplitude, we then can derive the $B_s\to π^+π^-$ transition form factor in the light-cone sum rules approach. Merging these quantities, we present our results for differential decay width which can generally agree with the experimental data. More accurate measurements at the LHC and KEKB in future are helpful to validate our formalism and determine the inputs in this approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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