arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1912.02409hep-lat
收藏

具有莫比乌斯畴壁费米子的$B \to π\ellν$形状因子和$|V_{ub}|$

$B \to π\ellν$ form factors and $|V_{ub}|$ with Möbius domain wall fermions

Brian Colquhoun, Shoji Hashimoto, Takashi Kaneko, Jonna Koponen

摘要:

本文报道了在$2+1$味晶格上$B$介子到π介子的半轻子衰变的形状因子的计算结果,晶格间距从0.080 fm到0.044 fm。使用莫比乌斯域壁费米子行动的海和价夸克,我们模拟介子的质量下降到225兆电子伏。通过利用一系列的重夸克的质量高达2.44倍的质量的魅力夸克,我们外推到物理$b$夸克的质量。讨论了形状因子与介子质量、重夸克质量、晶格间距和动量转移的关系。我们提取CKM矩阵元$|V_{ub}|$通过同时拟合与$B \to π\ellν$微分分支分数提供的Belle和BaBar合作后,手征连续和物理$b$夸克外推我们的晶格数据。

英文摘要:

We report on a calculation of form factors for the semileptonic decay of $B$ meson to pion on $2+1$-flavour lattices with lattice spacings from 0.080 fm down to 0.044 fm. Using the Möbius domain wall fermion action for both sea and valence quarks, we simulate pions with masses down to 225 MeV. By utilizing a range of heavy quark masses up to 2.44 times the mass of the charm quark we extrapolate to the physical $b$ quark mass. We discuss the dependence of the form factors on the pion mass, heavy quark mass, lattice spacing and the momentum-transfer. We extract the CKM matrix element $|V_{ub}|$ through a simultaneous fit with the $B \to π\ellν$ differential branching fractions provided by the Belle and BaBar collaborations after a chiral-continuum and physical $b$ quark extrapolations of our lattice data.

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。

↑