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arXiv 2511.03414hep-phhep-ex
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半轻子衰变$\overline{B}^0 \to D^{(*)+}\ell^-\barν_\ell$与非轻子衰变$\overline{B}^0 \to D^{(*)+}π^-$的关联PQCD分析

Correlated PQCD Analysis of the Semileptonic Decays $\overline{B}^0 \to D^{(*)+}\ell^-\barν_\ell$ and the Nonleptonic Decays $ \overline{B}^0 \to D^{(*)+}π^-$

Mao-Jing Liu, Ying Li, Zhi-Tian Zou

AI总结:

本文基于PQCD方法结合格点QCD外推,统一分析了半轻子与非轻子B介子衰变,精确预测了分支比及轻子普适性比值,并引入微分比值以检验因子化与新物理。

摘要:

我们使用微扰QCD(PQCD)方法对 $\overline{B}^0 \to D^{(*)+}\ell^-\barν_\ell$ 和 $\overline{B}^0 \to D^{(*)+}π^-$ 衰变进行了统一分析。$B \to D^{(*)}$ 跃迁形状因子在低 $q^2$ 处计算,并通过模型无关的 $z$ 展开,利用最新的 lattice QCD 结果外推至高 $q^2$ 区域。这种混合方法在整个运动学范围内提供了精确的形状因子描述。随后,我们预测了分支比和轻子味普适性比值 $R(D) = 0.336^{+0.014}_{-0.013}$ 以及 $R(D^*) = 0.271^{+0.010}_{-0.010}$,这与最新的实验平均值一致。此外,我们对非轻子 $\overline{B}^0 \to D^{(*)+}π^-$ 衰变进行了关联研究,计算了可因子化和非因子化振幅。为了减少强子不确定性,我们引入并计算了微分比值 $R^{(*)}_{π/\ell}(q^2)$,其定义为非轻子与半轻子衰变率之间的比值,为因子化和可能的新物理提供了灵敏的检验。本文提出的预测可以在正在进行的 Belle II 和 LHCb 实验中进行检验。

英文摘要:

We present a unified analysis of $\overline{B}^0 \to D^{(*)+}\ell^-\barν_\ell$ and $\overline{B}^0 \to D^{(*)+}π^-$ decays using the perturbative QCD (PQCD) approach. The $B \to D^{(*)}$ transition form factors are calculated at low $q^2$ and extrapolated to the high-$q^2$ region using the latest lattice QCD results via a model-independent $z$-expansion. This hybrid method provides a precise form factor description across the full kinematic range. We then predict the branching fractions and the lepton flavor universality ratios $R(D) = 0.336^{+0.014}_{-0.013}$ and $R(D^*) = 0.271^{+0.010}_{-0.010}$, which are consistent with the latest experimental averages. Furthermore, we perform a correlated study of the nonleptonic $ \overline{B}^0 \to D^{(*)+}π^-$ decays, calculating both factorizable and nonfactorizable amplitudes. To reduce hadronic uncertainties, we introduce and calculate the differential ratio $R^{(*)}_{π/\ell}(q^2)$, defined between nonleptonic and semileptonic decay rates, providing a sensitive test of factorization and possible new physics effects. The predictions presented here can be directly tested in ongoing Belle II and LHCb experiments.

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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