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arXiv 1409.4207hep-ph
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Omnès改进的非相对论夸克模型的$\bar B_s\to K$半轻子衰变

$\bar B_s\to K$ semileptonic decay from an Omnès improved nonrelativistic quark model

C. Albertus, E. Hernández, C. Hidalgo-Duque, J. Nieves

摘要:

研究了非相对论夸克模型中$\bar B_s\to K^+\ell^-\barν_\ell$半轻子衰变的形状因子。价夸克的贡献是补充了$\bar B^*$极项,占主导地位的高$q^2$地区。为了将夸克模型的预测从$q^2_{\rm max}=(M_{B_s}-M_K)^2$附近的适用区域扩展,我们使用了一个乘减的Omnès色散关系。我们拟合减法常数的组合输入从以前的光锥求和规则的结果在低$q^2$区域和夸克模型的结果(价加$\bar B^*$ -极)在高$q^2$区域。由此我们得到了$Γ(\bar B_s\to K^+\ell^-\barν_\ell)=(5.47^{+0.54}_{-0.46})|V_{ub}|^2\times 10^{-9}\,{\rm MeV}$,它比基于格点量子色动力学和QCD光锥求和规则的预言分别高10%和20%。

英文摘要:

We study the $f^+$ form factor for the $\bar B_s\to K^+\ell^-\barν_\ell$ semileptonic decay in a nonrelativistic quark model. The valence quark contribution is supplemented with a $\bar B^*$-pole term that dominates the high $q^2$ region. To extend the quark model predictions from its region of applicability near $q^2_{\rm max}=(M_{B_s}-M_K)^2$, we use a multiply-subtracted Omnès dispersion relation. We fit the subtraction constants to a combined input from previous light cone sum rule results in the low $q^2$ region and the quark model results (valence plus $\bar B^*$-pole) in the high $q^2$ region. From this analysis, we obtain $Γ(\bar B_s\to K^+\ell^-\barν_\ell)=(5.47^{+0.54}_{-0.46})|V_{ub}|^2\times 10^{-9}\,{\rm MeV}$, which is about 10% and 20% higher than predictions based on Lattice QCD and QCD light cone sum rules respectively.

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