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arXiv 2104.08847hep-phhep-ex
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标量通道中QCD求和规则内上/ down-quark质量的确定

Determination of the up/down-quark mass within QCD sum rules in the scalar channel

Fang-Hui Yin, Wen-Ya Tian, Liang Tang, Zhi-Hui Guo

摘要:

在这项工作中,我们确定的上/下夸克质量$m_{q=u/d}$在等腰标量通道的Shifman-Vainshtein-Zakharov(SVZ)和Monte-Carlo的QCD求和规则。相关的光谱函数,包括从$f_0(500)$,$f_0(980)$和$f_0(1370)$共振的贡献,确定从一个复杂的$U(3)$手性研究。通过传统的SVZ QCD求和规则,我们给出了轻夸克平均质量$m_q(2 \, \text{GeV})=\frac{1}{2}(m_u(2 \, \text{GeV}) + m_d(2 \, \text{GeV}))=(3.46^{+0.16}_{-0.22} \pm 0.33) \, \text{MeV}$的预言。同时,考虑到输入QCD参数和等谱标量通道谱函数的不确定性,我们从基于Monte-Carlo的QCD求和规则得到了$m_q (2\, \text{GeV}) = (3.44 \pm 0.14 \pm 0.32) \, \text{MeV}$。这两个结果彼此完全一致,并且在不确定性范围内与粒子数据组值非常一致。

英文摘要:

In this work, we determine up/down-quark mass $m_{q=u/d}$ in the isoscalar scalar channel from both the Shifman-Vainshtein-Zakharov (SVZ) and the Monte-Carlo-based QCD sum rules. The relevant spectral function, including the contributions from the $f_0(500)$, $f_0(980)$ and $f_0(1370)$ resonances, is determined from a sophisticated $U(3)$ chiral study. Via the traditional SVZ QCD sum rules, we give the prediction to the average light-quark mass $m_q(2 \, \text{GeV})=\frac{1}{2}(m_u(2 \, \text{GeV}) + m_d(2 \, \text{GeV}))=(3.46^{+0.16}_{-0.22} \pm 0.33) \, \text{MeV}$. Meanwhile, by considering the uncertainties of the input QCD parameters and the spectral functions of the isoscalar scalar channel, we obtain $m_q (2\, \text{GeV}) = (3.44 \pm 0.14 \pm 0.32) \, \text{MeV}$ from the Monte-Carlo-based QCD sum rules. Both results are perfectly consistent with each other, and nicely agree with the Particle Data Group value within the uncertainties.

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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