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arXiv 1401.3689hep-phhep-latnucl-th
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从赝标求和规则改进轻夸克质量

Improved light quark masses from pseudoscalar sum rules

Stephan Narison

摘要:

在稳定性判据下,利用反拉普拉斯变换求和规则的比值,加上通常的τ谱求和规则变量和连续统阈值t_c的比值,我们通过包括六维凝聚的幂次修正、快子胶子质量、瞬子和有限宽度修正,提取了微扰QCD的π(1300)和K(1460)衰变常数到α s^4级。利用这些误差较大的输入数据,我们以一种与模型无关的保守方式,计算了在2 GeV下与标度无关的重整化群不变量夸克质量(m_u+ m_q):q \equiv d,s和相应的运行质量(m_u+m_q)之和.通过给出m_u/m_d的值,我们导出了夸克运行质量m_{u,d,s}和凝聚态< \bar uu>以及与标度无关的质量比:2 m_s/(m_u+m_d)和m_s/m_d。利用QCD连续谱对谱函数贡献的正性,我们还从逆拉普拉斯变换求和规则中推导出了RGI质量的新的下界,这是第一次达到α s ^[4]阶,这些下界被转化为2 GeV的运行质量和运行夸克凝聚体的上界< \bar uu>。我们的结果总结在表2中,并与我们以前的结果和最近的晶格平均值进行了比较,表明要精确地唯象确定轻夸克质量之和,需要改进对π(1.3)和K(1.46)强子宽度和/或衰变常数的实验测量,这是分析中误差的主要来源。

英文摘要:

Using ratios of the inverse Laplace transform sum rules within stability criteria for the subtraction point μin addition to the ones of the usual tau spectral sum rule variable and continuum threshold t_c, we extract the π(1300) and K(1460) decay constants to order α_s^4 of perturbative QCD by including power corrections up to dimension-six condensates, tachyonic gluon mass, instanton and finite width corrections. Using these inputs with enlarged generous errors, we extract, in a model-independent and conservative ways, the sum of the scale-independent renormalization group invariant (RGI) quark masses (m_u+ m_q):q\equiv d,s and the corresponding running masses (m_u+m_q) evaluated at 2 GeV. By giving the value of the ratio m_u/m_d, we deduce the running quark masses m_{u,d,s} and condensate <\bar uu> and the scale-independent mass ratios : 2m_s/(m_u+m_d) and m_s/m_d. Using the positivity of the QCD continuum contribution to the spectral function, we also deduce, from the inverse Laplace transform sum rules, for the first time to order α_s^4, new lower bounds on the RGI masses which are translated into the running masses at 2 GeV and into upper bounds on the running quark condensate <\bar uu>. Our results summarized in Table 2 and compared with our previous results and with recent lattice averages suggest that precise phenomenological determinations of the sum of light quark masses require improved experimental measurements of the π(1.3) and K(1.46) hadronic widths and/or decay constants which are the dominant sources of errors in the analysis.

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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