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arXiv 2008.05208hep-lathep-exhep-ph
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从2+1味格点量子色动力学计算粲介子和$ϕ$介子衰变常数

Charmed and $ϕ$ meson decay constants from 2+1-flavor lattice QCD

Ying Chen, Wei-Feng Chiu, Ming Gong, Zhaofeng Liu, Yunheng Ma

摘要:

在具有2+1味动力学畴壁费米子的晶格上,计算了物理质量的$D_{s}^{(*)}$、$D^{(*)}$和$ϕ$的衰变常数。晶格尺寸为$48^3\times96$,其对应于具有晶格间距$a\approx 0.114$ fm的$\sim5.5$ fm的空间扩展。对于价光夸克、奇异夸克和粲夸克,我们在几个接近它们物理值的质量点上使用重叠费米子。我们在物理点上的结果是$f_D=213(5)$ MeV、$f_{D_s}=249(7)$ MeV、$f_{D^*}=234(6)$ MeV、$f_{D_s^*}=274(7)$ MeV和$f_ϕ=241(9)$ MeV。从第一个格点量子色动力学结果$f_{D^*}^T/f_{D^*}=0.91(4)$和$f_{D_s^*}^T/f_{D_s^*}=0.92(4)$的比值可以分别导出$D^*$和$D_s^*$与张量流的耦合。我们还得到了反映粲介子中重夸克对称性破缺大小的比值$f_{D^*}/f_D=1.10(3)$和$f_{D_s^*}/f_{D_s}=1.10(4)$。$f_{D_s}/f_{D}=1.16(3)$和$f_{D_s^*}/f_{D^*}=1.17(3)$的比值可以作为SU(3)味对称性破缺的度量。

英文摘要:

On a lattice with 2+1-flavor dynamical domain-wall fermions at the physical pion mass, we calculate the decay constants of $D_{s}^{(*)}$, $D^{(*)}$ and $ϕ$. The lattice size is $48^3\times96$, which corresponds to a spatial extension of $\sim5.5$ fm with the lattice spacing $a\approx 0.114$ fm. For the valence light, strange and charm quarks, we use overlap fermions at several mass points close to their physical values. Our results at the physical point are $f_D=213(5)$ MeV, $f_{D_s}=249(7)$ MeV, $f_{D^*}=234(6)$ MeV, $f_{D_s^*}=274(7)$ MeV, and $f_ϕ=241(9)$ MeV. The couplings of $D^*$ and $D_s^*$ to the tensor current ($f_V^T$) can be derived, respectively, from the ratios $f_{D^*}^T/f_{D^*}=0.91(4)$ and $f_{D_s^*}^T/f_{D_s^*}=0.92(4)$, which are the first lattice QCD results. We also obtain the ratios $f_{D^*}/f_D=1.10(3)$ and $f_{D_s^*}/f_{D_s}=1.10(4)$, which reflect the size of heavy quark symmetry breaking in charmed mesons. The ratios $f_{D_s}/f_{D}=1.16(3)$ and $f_{D_s^*}/f_{D^*}=1.17(3)$ can be taken as a measure of SU(3) flavor symmetry breaking.

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