Abstract

We provide an overview on the existing determinations on \(|V_{ub}|\) and \(|V_{cb}|\) , as well as on ratio measurements. New world averages for \(|V_{ub}|\) from \(B \rightarrow \pi \ell \bar{\nu }_\ell\) and for \(|V_{cb}|\) from \(B \rightarrow D^* \ell \bar{\nu }_\ell\) are reported, combining recent measurements and lattice QCD calculations. We combine these new values with other determinations and ratios of \(|V_{ub}|\) and \(|V_{cb}|\) to ascertain the current knowledge of both fundamental parameters to evaluate the compatibility with determinations from inclusive semileptonic decays. We find: \(|V_{ub}|= \left( 3.44 \pm 0.12 \right) \times 10^{-3}\) and \(|V_{cb}|= \left( 40.84 \pm 0.48 \right) \times 10^{-3}\) with a correlation of \(\rho = 0.22\) . These values show a disagreement from the inclusive determinations at the 2.85 \(\sigma\) level.

中文翻译：

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$$|V_{ub}|$$ 和 $$|V_{cb}|$$ 来自排他半轻衰变

摘要

我们概述了\(|V_{ub}|\)和\(|V_{cb}|\) 的现有测定以及比率测量。来自\(B \rightarrow \pi \ell \bar{\nu }_\ell\) 的 \(| V_{ub}|\ )和来自\ (|V_{cb}|\)的新世界平均值报告了B \rightarrow D^* \ell \bar{\nu }_\ell\) ，结合了最近的测量和晶格 QCD 计算。我们将这些新值与\(|V_{ub}|\)和\(|V_{cb}|\)的其他确定和比率相结合，以确定两个基本参数的当前知识，以评估与包含半轻子确定的兼容性腐烂。我们发现：\(|V_{ub}|= \left( 3.44 \pm 0.12 \right) \times 10^{-3}\)和\(|V_{cb}|= \left( 40.84 \pm 0.48 \右) \times 10^{-3}\)相关性为\(\rho = 0.22\)。这些值与 2.85 \(\sigma\)水平上的包容性测定结果不一致。