arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1503.01421hep-lathep-exhep-ph
收藏

相对论重夸克格点量子色动力学的$Λ_b \to p \ell^- \barν_\ell$和$Λ_b \to Λ_c \ell^- \barν_\ell$形状因子

$Λ_b \to p \ell^- \barν_\ell$ and $Λ_b \to Λ_c \ell^- \barν_\ell$ form factors from lattice QCD with relativistic heavy quarks

William Detmold, Christoph Lehner, Stefan Meinel

摘要:

$Λ_b \to p \ell^- \barν_\ell$和$Λ_b \to Λ_c \ell^- \barν_\ell$衰变率的测量可以用来确定CKM矩阵元$V_{ub}$和$V_{cb}$的大小,只要相关的强子形状因子是已知的。在这里,我们提出了一个精确的计算这些形状因子使用格点量子色动力学与2+1口味的动力学畴壁费米子。$b$和$c$夸克是用相对论性重夸克作用量实现的,使我们能够直接在物理重夸克质量上工作。晶格计算进行了六个不同的π介子质量和两个不同的晶格间距,使用规范场的RBC和UKQCD合作产生的配置。$b \to u$和$b \to c$电流的重整化与主要的非微扰方法。我们外推的形状因子的结果,物理介子质量和连续极限,参数化的$q^2$依赖使用$z$ -展开。形状因子以这样的方式呈现,使得统计和系统不确定性相关传播到导出的量,如微分衰减率和不对称性。使用这些形状因子,我们提出了预测的$Λ_b \to p \ell^- \barν_\ell$和$Λ_b \to Λ_c \ell^- \barν_\ell$差分和集成的衰减率。结合实验数据,我们的结果使测定$|V_{ub}|$,$|V_{cb}|$,和$|V_{ub}/V_{cb}|$的理论不确定度分别为4.4%,2.2%和4.9%。

英文摘要:

Measurements of the $Λ_b \to p \ell^- \barν_\ell$ and $Λ_b \to Λ_c \ell^- \barν_\ell$ decay rates can be used to determine the magnitudes of the CKM matrix elements $V_{ub}$ and $V_{cb}$, provided that the relevant hadronic form factors are known. Here we present a precise calculation of these form factors using lattice QCD with 2+1 flavors of dynamical domain-wall fermions. The $b$ and $c$ quarks are implemented with relativistic heavy-quark actions, allowing us to work directly at the physical heavy-quark masses. The lattice computation is performed for six different pion masses and two different lattice spacings, using gauge-field configurations generated by the RBC and UKQCD collaborations. The $b \to u$ and $b \to c$ currents are renormalized with a mostly nonperturbative method. We extrapolate the form factor results to the physical pion mass and the continuum limit, parametrizing the $q^2$-dependence using $z$-expansions. The form factors are presented in such a way as to enable the correlated propagation of both statistical and systematic uncertainties into derived quantities such as differential decay rates and asymmetries. Using these form factors, we present predictions for the $Λ_b \to p \ell^- \barν_\ell$ and $Λ_b \to Λ_c \ell^- \barν_\ell$ differential and integrated decay rates. Combined with experimental data, our results enable determinations of $|V_{ub}|$, $|V_{cb}|$, and $|V_{ub}/V_{cb}|$ with theory uncertainties of 4.4%, 2.2%, and 4.9%, respectively.

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。

↑