We present a calculation of the up, down, strange, and charm quark masses performed within the lattice QCD framework. We use the twisted-mass fermion action and carry out simulations that include in the sea two light mass-degenerate quarks, as well as the strange and charm quarks. In the analysis, we use gauge ensembles simulated at three values of the lattice spacing and with light quarks that correspond to pion masses in the range from 350 MeV to the physical value, while the strange and charm quark masses are tuned approximately to their physical values. We use several quantities to set the scale in order to check for finite lattice spacing effects, and in the continuum limit, we get compatible results. The quark mass renormalization is carried out nonperturbatively using the (modified) Regularization Independent Momentum Subtraction (${\mathrm{RI}}^{\prime }\text{−}\mathrm{MOM}$) method converted into the $\overline{\mathrm{MS}}$ scheme. For the determination of the quark masses, we use physical observables from both the meson and the baryon sectors, obtaining $m_{ud}=3.636(66)({}_{-57}^{+60})\mathrm{MeV}$ and $m_s=98.7(2.4)({}_{-3.2}^{+4.0})\mathrm{MeV}$ in the $\overline{\mathrm{MS}}(2\mathrm{GeV})$ scheme and $m_c=1036(17)({}_{-8}^{+15})\mathrm{MeV}$ in the $\overline{\mathrm{MS}}(3\mathrm{GeV})$ scheme, where the first errors are statistical and the second ones are combinations of systematic errors. For the quark mass ratios, we get $m_s/m_{ud}=27.17(32)({}_{-38}^{+56})$ and $m_c/m_s=11.48(12)({}_{-19}^{+25})$.

中文翻译：

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使用扭曲质量费米子规范集合的夸克质量

我们提出了在晶格 QCD 框架内执行的向上、向下、奇夸克和粲夸克质量的计算。我们使用扭曲质量费米子作用并进行模拟，其中包括在海中的两个轻质量简并夸克，以及奇夸克和粲夸克。在分析中，我们使用在晶格间距的三个值处模拟的规范系综，以及对应于 350 MeV 到物理值范围内的介子质量的轻夸克，而奇夸克质量和粲夸克质量大约调整到它们的物理值. 我们使用多个量来设置比例以检查有限晶格间距效应，并且在连续体限制中，我们得到了兼容的结果。夸克质量重整化是使用（修改的）正则化独立动量减法（${\mathrm{RI}}^{\prime }\text{-}\mathrm{妈妈}$) 方法转换为 $\overline{\mathrm{多发性硬化症}}$方案。为了确定夸克质量，我们使用介子和重子部门的物理观测值，获得${米}_{你d}=3.636(66)({}_{-57}^{+60})\mathrm{电动汽车}$ 和 ${米}_{秒}=98.7(2.4)({}_{-3.2}^{+4.0})\mathrm{电动汽车}$ 在里面 $\overline{\mathrm{多发性硬化症}}(2\mathrm{电子伏特})$ 计划和 ${米}_C=1036(17)({}_{-8}^{+15})\mathrm{电动汽车}$ 在里面 $\overline{\mathrm{多发性硬化症}}(3\mathrm{电子伏特})$方案，其中第一个误差是统计误差，第二个误差是系统误差的组合。对于夸克质量比，我们得到${米}_{秒}/{米}_{你d}=27.17(32)({}_{-38}^{+56})$ 和 ${米}_C/{米}_{秒}=11.48(12)({}_{-19}^{+25})$.