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arXiv 1503.09063hep-ph
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半轻子$\bar{B}_s \to K^{*+}(\to K π)\ell^-\barν_\ell$衰变中$b\to u$跃迁的分析

Analyzing $b\to u$ transitions in semileptonic $\bar{B}_s \to K^{*+}(\to K π)\ell^-\barν_\ell$ decays

Thorsten Feldmann, Bastian Müller, Danny van Dyk

摘要:

研究了夸克能级上由$b\to u \ell^- \barν_\ell$跃迁引起的半轻子衰变$\bar{B}_s \to K^{*+} \ell^-\barν_\ell$。我们考虑到标准模型(SM)运营商从$W$玻色子交换以及可能的扩展超出SM物理。次级衰变$K^{*+}\to Kπ$可以用来研究一些角向观测量,这些观测量是根据短距离威尔逊系数和强子形状因子计算出来的。我们的分析允许一个独立的提取的Cabibbo-小林-Maskawa矩阵元素$|V_{ub}|$和$\bar{B}_s\to K^*$形状因子的某些比率的确定。此外,在$\bar{B}_s \to K^{*+} \ell^-\barν_\ell$衰减的前向后不对称性的未来精确测量可以被用来明确地验证左手性质的过渡算子所预测的SM。我们提供数值估计的相关角度观测值和由此产生的衰减分布的基础上,可用的形状因子信息从晶格和求和规则的估计。此外,我们特别注意适当的组合中的衰变$\bar{B}_s \to K^{*+}(\to Kπ)\ell^-\barν_\ell$和$\bar{B} \to K^{*0}(\to Kπ)\ell^+\ell^-$的角度可观的,并发现它们提供了互补的约束相关的$b\to s$短距离系数。作为一个副产品,我们进行了SM拟合的基础上选定的实验衰变率和强子输入函数,这导致$|V_{ub}| = (4.07 \pm 0.20) \cdot 10^{-3}$。

英文摘要:

We study the semileptonic decay $\bar{B}_s \to K^{*+} \ell^-\barν_\ell$, which is induced by $b\to u \ell^- \barν_\ell$ transitions at the quark level. We take into account the standard model (SM) operator from $W$-boson exchange as well as possible extensions from physics beyond the SM. The secondary decay $K^{*+}\to Kπ$ can be used to study a number of angular observables, which are worked out in terms of short-distance Wilson coefficients and hadronic form factors. Our analysis allows for an independent extraction of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{ub}|$ and for the determination of certain ratios of $\bar{B}_s\to K^*$ form factors. Moreover, a future precision measurement of the forward-backward asymmetry in the $\bar{B}_s \to K^{*+} \ell^-\barν_\ell$ decay can be used to unambiguously verify the left-handed nature of the transition operator as predicted by the SM. We provide numerical estimates for the relevant angular observables and the resulting decay distributions on the basis of available form-factor information from lattice and sum-rule estimates. In addition, we pay particular attention to suitable combinations of angular observables in the decays $\bar{B}_s \to K^{*+}(\to Kπ)\ell^-\barν_\ell$ and $\bar{B} \to K^{*0}(\to Kπ)\ell^+\ell^-$, and find that they provide complementary constraints on the relevant $b\to s$ short-distance coefficients. As a by-product, we perform a SM fit on the basis of selected experimental decay rates and hadronic input functions, which results in $|V_{ub}| = (4.07 \pm 0.20) \cdot 10^{-3}$.

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