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arXiv 2408.03548hep-lat
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基于蝌蚪改进 clover 组态的连续极限粲介子质量与衰变常数

Charmed meson masses and decay constants in the continuum from the tadpole improved clover ensembles

Hai-Yang Du, Bolun Hu, Mengchu Cai, Ying Chen, Heng-Tong Ding, Xiangyu Jiang, Chuan Liu, Liuming Liu, Yu Meng, Peng Sun, Ji-Hao Wang, Yi-Bo Yang, Dian-Jun Zhao

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24 pages, 15 figures, revised version based on the comments
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AI总结：

该研究用蝌蚪改进的 stout clover 2+1 味格点组态，经手征与连续外推精确测定粲夸克质量及多种粲介子质量、衰变常数。

摘要：

我们利用十三个 2+1 味规范组态，给出了粲夸克质量以及粲介子质量和衰变常数的测定；这些组态覆盖五种不同格距 a∈[0.05,0.11] fm、八个 pion 质量 mπ∈(130,360) MeV，以及若干奇异夸克质量取值，使我们能够进行手征外推和连续极限外推。这些组态通过采用蝌蚪改进的 stout 涂抹 clover 费米子作用量和 Symanzik 规范作用量生成。通过将离散化误差吸收到粲夸克质量和场归一化中，我们在格距 a∼0.1 fm 时，将粲介子质量以及所有 S 波开粲介子衰变常数的离散化误差抑制到几个百分点甚至更低。此外，其他量的离散化误差也显著减小。连续外推得到的粲夸克质量为 m_c(m_c)=1.2933(72)(95) GeV，采用 \overline{MS} 方案，并通过扣除 QED 的 D_s 介子质量和非微扰重整化确定。利用该粲夸克质量对开粲和隐粲介子的预测与实验值相符，不确定度处于 0.1–0.5% 水平。我们得到了 D_(s) 衰变常数，以及迄今为止最精确的 D_(s)^* 衰变常数：f_D*=0.2292(26)(17) GeV，f_D_s*=0.2691(30)(03) GeV。

英文摘要：

We present the determination of the charm quark mass, the masses, and decay constants of charmed mesons using thirteen 2+1 flavor gauge ensembles at five different lattice spacings $a\in[0.05,0.11]$ fm, 8 pion masses $m_π\in(130,360)$ MeV, and several values of the strange quark mass, which facilitate us to do the chiral and continuum extrapolation. These ensembles are generated through the stout smeared clover fermion action and Symanzik gauge actions with the tadpole improvement. By absorbing the discretization errors into the masses and field normalization of the charm quark, we manage to suppress the discretization error of the charmed meson mass and all the S-wave open charmed meson decay constants to a few percent or even less at lattice spacing \( a \sim 0.1 \) fm. Moreover, discretization errors for other quantities are also significantly reduced. The continuum extrapolated charm quark mass, $m_c(m_c)=1.2933(72)(95)$ GeV in $\overline{\textrm{MS}}$ scheme, is determined using QED-subtracted $D_s$ meson mass and non-perturbative renormalization. Predictions of the open and close charm mesons using this charm quark mass agree with the experimental values at 0.1-0.5\% level uncertainty. We obtained $D_{(s)}$ decay constants and also by far the most precise $D_{(s)}^*$ decay constants $f_{D^*}=0.2292(26)(17)$ GeV and $f_{D^*_s}=0.2691(30)(03)$ GeV.

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。

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