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arXiv 1703.04765hep-phhep-ex
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$B_{s}\to K \ell ν_\ell$和$B_{(s)} \to π(K) \ell^+\ell^-$在大反冲和CKM矩阵元素时衰变

$B_{s}\to K \ell ν_\ell$ and $B_{(s)} \to π(K) \ell^+\ell^-$ decays at large recoil and CKM matrix elements

Alexander Khodjamirian, Aleksey V. Rusov

摘要:

我们提供了强输入的$B$介子半轻子跃迁到一个轻的赝标介子在大反冲。更新了由QCD光锥求和规则计算的$B_s\to K$形状因子,用于由$B_s\to K \ell ν$宽度确定$|V_{ub}|$。此外,我们还计算了$B \to π\ell^+ \ell^-$和$B \to K \ell^+ \ell^-$观测量的强子输入。结合QCD因子分解和光锥求和规则以及强子色散关系,得到了非定域强子矩阵元。我们强调,由于非局部效应,这些衰变的分支分数的比例是不够的$|V_{td}/V_{ts}|$比的准确提取。相反,我们建议,以确定沃尔芬斯坦参数$A,ρ,η$的CKM矩阵,结合分支分数的$B \to K \ell^+ \ell^-$和$B \to π\ell^+ \ell^-$与直接$CP$ -不对称在后者的衰变。我们还获得了一个尚未探索的通道$B_s \to K \ell^+ \ell^-$的强子矩阵元。

英文摘要:

We provide hadronic input for the $B$-meson semileptonic transitions to a light pseudoscalar meson at large recoil. The $B_s\to K$ form factor calculated from QCD light-cone sum rule is updated, to be used for a $|V_{ub}|$ determination from the $B_s\to K \ell ν$ width. Furthermore, we calculate the hadronic input for the binned observables of $B \to π\ell^+ \ell^-$ and $B \to K \ell^+ \ell^-$. In addition to the form factors, the nonlocal hadronic matrix elements are obtained, combining QCD factorization and light-cone sum rules with hadronic dispersion relations. We emphasize that, due to nonlocal effects, the ratio of branching fractions of these decays is not sufficient for an accurate extraction of the $|V_{td}/V_{ts}|$ ratio. Instead, we suggest to determine the Wolfenstein parameters $A,ρ,η$ of the CKM matrix, combining the branching fractions of $B \to K \ell^+ \ell^-$ and $B \to π\ell^+ \ell^-$ with the direct $CP$-asymmetry in the latter decay. We also obtain the hadronic matrix elements for a yet unexplored channel $B_s \to K \ell^+ \ell^-$.

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