Estimates of Light Quark Masses from Lattice QCD and QCD Sum rules

Estimates of Light Quark Masses from Lattice QCD and QCD Sum rules
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根据格子 QCD 和 QCD 和规则估计轻夸克质量

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发表时间:
2003
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通讯作者:
Rajan Gupta
Rajan Gupta
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作者:
Rajan Gupta

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本文综述了利用点阵量子cd和量子cd求和规则确定轻夸克质量的研究进展。基于对三种动态夸克的初步计算,晶格估计为$m_s = 75(15)$ MeV,这是一个诱人的低值。另一方面,规模和伪标量求和规则的领先估计分别为99(16)美元和100(12)美元MeV。$\tau$-衰变和规则的估计非常敏感地依赖于$|V_{us}|$的值。如果施加CKM矩阵的统一性,则不同分析的中心值在115-120 MeV范围内,如果使用粒子数据组$|V_{us}|$的值,则中心值在100-105 MeV范围内。我也给出了我的理由,为什么格的结果还没有在严格的下界冲突从求和规则分析。
This talk reviews the progress made in the determination of the light quark masses using lattice QCD and QCD sum rules. Based on preliminary calculations with three flavors of dynamical quarks, the lattice estimate is $m_s = 75(15)$ MeV, a tantalizingly low value. On the other hand the leading estimates from scale and pseudo-scalar sum rules are $99(16)$ and $100(12)$ MeV respectively. The $\tau$-decay sum rule estimates depend very sensitively on the value of $|V_{us}|$. The central values from different analyses lie in the range 115-120 MeV if unitarity of CKM matrix is imposed, and in the range 100-105 MeV if the Particle Data Group values for $|V_{us}|$ are used. I also give my reasons for why the lattice result is not yet in conflict with rigorous lower bounds from sum rule analyses.