arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2212.02528hep-phhep-exhep-lat
收藏

从遍举$b\to u(c) \ell\nu_{\ell}$衰变的联合研究中提取$|V_{ub}|/|V_{cb}|$

Extractions of $|V_{ub}|/|V_{cb}|$ from a combined study of the exclusive $b\to u(c) \ellν_{\ell}$ decays

Aritra Biswas, Soumitra Nandi, Ipsita Ray

AI总结:

本研究联合多类B介子遍举衰变的实验与理论输入,提取了CKM矩阵元比值$|V_{ub}|/|V_{cb}|$,给出不同输入情形下的精确结果,并预测了相关衰变分支比与衰变率比值。

摘要:

我们通过对$\bar{B}\to (\u03c0,\u03c1,\u03c9)\u2113^- \bar{\nu}_{\u2113}$和$\bar{B}(\bar{B}_s)\to (D^{(\u2217)}, D_s^{(\u2217)})\u2113^- \bar{\nu}_{\u2113}$($\u2113 = \u03bc$或$e$)衰变的现有输入信息开展联合研究,提取了比值$|V_{ub}|/|V_{cb}|$。我们分别在纳入和不纳入$\u039c\u0392(\bar{B}_s\to K^+\u03bc^-\bar{\nu}_\u03bc)$分支比现有实验结果、或$\u0393(\bar{B}_s\to K^+ \u2113^-\bar{\nu}_{\u2113})/ \u0393(\bar{B}_s \to D_s^+ \u2113^- \bar{\nu}_{\u2113})$衰变率比值的情况下完成了分析。我们使用了不同$q^2$分箱下分支比的所有现有实验数据,以及来自格点和光锥求和规则(LCSR)方法的形状因子现有理论输入;在多种可能的情形下分析了数据并给出了结果。从所有$b\to c\u2113^- \bar{\nu}_{\u2113}$遍举衰变的联合分析中,我们得到$|V_{cb}|=(40.5 \u00b1 0.6)\times 10^{-3}$;从所有$b\to u\u2113^- \bar{\nu}_{\u2113}$模式中,我们得到$|V_{ub}|=(3.46\u00b1 0.12)\times 10^{-3}$,在剔除$\u039c\u0392(\bar{B}_s\to K^+\u03bc^-\bar{\nu}_\u03bc)$后该值变为$|V_{ub}|=(3.51 \u00b1 0.13)\times 10^{-3}$。因此我们报告,在有和无$\bar{B}_s\to K^+\u03bc^-\bar{\nu}_\u03bc$模式输入的情况下,比值$|V_{ub}|/|V_{cb}|$的值分别为$0.085 \u00b1 0.003$和$0.087 \u00b1 0.003$。我们还利用拟合结果预测了比值$\u0393(\bar{B}_s\to K^+ \u2113^-\bar{\nu}_{\u2113})/ \u0393(\bar{B}_s \to D_s^+ \u2113^- \bar{\nu}_{\u2113})$。此外,我们还给出了标准模型(SM)下小$q^2$分箱中$\u039c\u0392(\bar{B}_s\to K^+\u03bc^-\bar{\nu}_\u03bc)$和$\u039c\u0392(\bar{B}\to (\u03c1,\u03c9)\u2113^- \bar{\nu}_{\u2113})$的预测值。

英文摘要:

We have extracted the ratio $|V_{ub}|/|V_{cb}|$ from a combined study of the available inputs on $\bar{B}\to (π,ρ,ω)\ell^- \barν_{\ell}$ and $\bar{B}(\bar{B}_s)\to (D^{(\ast)}, D_s^{(\ast)})\ell^- \barν_{\ell}$ ($\ell = μ$ or $e$) decays. We have done our analysis with and without the inclusion of the available experimental results on the branching fraction $\mathcal{BR}(\bar{B}_s\to K^+μ^-\barν_μ)$ or the ratio of the rates $Γ(\bar{B}_s\to K^+ \ell^-\barν_{\ell})/ Γ(\bar{B}_s \to D_s^+ \ell^- \barν_{\ell})$. We have used all the available experimental data on the branching fractions in different $q^2$-bins, the available theory inputs on the form factors from lattice and the light cone sum rule (LCSR) approach; analysed the data in different possible scenarios and presented the results. From a combined analysis of all the $b\to c\ell^- \barν_{\ell}$ exclusive decays, we have obtained $|V_{cb}|=(40.5 \pm 0.6)\times 10^{-3}$ and from all the $b\to u\ell^- \barν_{\ell}$ modes, we obtain $|V_{ub}|=(3.46\pm 0.12)\times 10^{-3}$ which changes to $|V_{ub}|=(3.51 \pm 0.13)\times 10^{-3}$ after dropping $\mathcal{BR}(\bar{B}_s\to K^+μ^-\barν_μ)$. We hence report the values of the ratio $|V_{ub}|/|V_{cb}| = 0.085 \pm 0.003$ and $0.087 \pm 0.003$ with and without the input from $\bar{B}_s\to K^+μ^-\barν_μ$ modes, respectively. We have also predicted the ratio $Γ(\bar{B}_s\to K^+ \ell^-\barν_{\ell})/ Γ(\bar{B}_s \to D_s^+ \ell^- \barν_{\ell})$ using the fit results. In addition, we provide the predictions of $\mathcal{BR}(\bar{B}_s\to K^+μ^-\barν_μ)$ and $\mathcal{BR}(\bar{B}\to (ρ,ω)\ell^- \barν_{\ell})$ in the Standard Model (SM) in small $q^2$-bins.

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。

↑