arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1012.0666hep-phhep-lat
收藏

$D$和$D_s$衰变常数与轻夸克质量的关系

Light quark mass dependence of the $D$ and $D_s$ decay constants

L. S. Geng, M. Altenbuchinger, W. Weise

摘要:

本文利用手征微扰理论的协变形式($χ$ PT)在次-次-领先阶(NNLO)下研究了$D$和$D_s$介子衰变常数$f_D$和$f_{D_s}$对轻夸克质量的依赖性.以$D$($D_s$)衰变常数的HPQCD格点结果为基准,我们发现在NLO和NNLO下,协变$χ$ PT比重介子$χ$ PT(HM $χ$ PT)能更好地描述HPQCD结果.在同样的框架下,考虑到次主导($1/m_Q$,$m_Q$是重夸克质量)对低能常数的修正,并利用格点QCD对$g_{BB^*π}$的结果,我们估计了$f_{B_s}/f_B$的比值为$1.22^{+0.05}_{-0.04}$,这与HPQCD的结果$1.226(26)$一致.

英文摘要:

We study the light quark mass dependence of the $D$ and $D_s$ meson decay constants, $f_D$ and $f_{D_s}$, using a covariant formulation of chiral perturbation theory ($χ$PT) at next-to-next-to-leading order (NNLO). Using the HPQCD lattice results for the $D$($D_s$) decay constants as a benchmark we show that covariant $χ$PT can describe the HPQCD results better than heavy meson $χ$PT (HM$χ$PT) at both NLO and NNLO. Within the same framework, taking into account sub-leading ($1/m_Q$, with $m_Q$ the heavy quark mass) corrections to the values of the low-energy constants and employing the lattice QCD results for $g_{BB^*π}$, we estimate the ratio of $f_{B_s}/f_B$ to be $1.22^{+0.05}_{-0.04}$, which agrees well with the HPQCD result $1.226(26)$.

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。

↑