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arXiv 0804.2204hep-ph
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$B_{(s)}$弱半轻子衰变中的标量介子

Scalar mesons in weak semileptonic decays of $B_{(s)}$

Yu-Ming Wang, M. Jamil Aslam, Cai-Dian Lu

摘要:

用光锥求和规则方法研究了$B_{(s)} \to S$的跃迁形状因子,其中$S$表示标量介子。计算结果比用光阵面夸克模型和QCD求和规则方法估计的结果大一倍左右。使用这些形状因子,我们提出了$B \to a_0(1450) l \barν_l $,$B \to K^{\ast}_0(1430) l \bar{l}$,$B_s \to K^{\ast}_0(1430) l \barν_l$和$B_s \to f_0(1500) l \bar{l}$与$l=e, μ, τ$的衰变率的分析。结果表明,$BR(\bar{B}_0 \to a_0(1450) l \barν_l)$和$BR(B_s \to K^{\ast}_0(1430) l \barν_l)$的量级可以达到$10^{-4}$量级,可以在未来的实验中测量到,以阐明标量介子的内部结构。还观察到,$BR(B \to K^{\ast}_0(1430) τ^+ τ^-)$和$BR(B_s \to f_0(1500) τ^+ τ^-)$是一个数量级小于相应的通道的$e^+ e^-$和$μ^+ μ^-$最终状态由于严重抑制相空间。此外,还研究了$B \to K^{\ast}_0(1430) l \bar{l}$和$B_s \to f_0(1500) l \bar{l}$的轻子纵向极化不对称性,除了靠近端点的区域外,$e^+ e^-$和$μ^+ μ^-$对的轻子纵向极化不对称性接近于-1。

英文摘要:

The transition form factors of $B_{(s)} \to S$, with $S$ denoting a scalar meson, are investigated in the light-cone sum rules approach. The numerical values are approximately twice as large as that estimated in the light-front quark model and QCD sum rules approach. Using these form factors, we present the analysis of the decay rates for $B \to a_0(1450) l \barν_l $, $B \to K^{\ast}_0(1430) l \bar{l}$, $B_s \to K^{\ast}_0(1430) l \barν_l$ and $B_s \to f_0(1500) l \bar{l}$ with $l=e, μ, τ$. The results indicate that magnitudes of $BR(\bar{B}_0 \to a_0(1450) l \barν_l)$ and $BR(B_s \to K^{\ast}_0(1430) l \barν_l)$ can arrive at the order of $10^{-4}$, which can be measured in the future experiments to clarify the inner structure of scalar mesons. It is also observed that $BR(B \to K^{\ast}_0(1430) τ^+ τ^-)$ and $BR(B_s \to f_0(1500) τ^+ τ^-)$ are an order of magnitude smaller than the corresponding channels of $e^+ e^-$ and $μ^+ μ^-$ final states due to the heavily suppressed phase space . Moreover, the longitudinal lepton polarization asymmetry for $B \to K^{\ast}_0(1430) l \bar{l}$ and $B_s \to f_0(1500) l \bar{l}$ are also investigated, whose values are close to -1 for the $e^+ e^-$ and $μ^+ μ^-$ pair except the region close to the end points.

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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