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arXiv 0808.3909hep-ph
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基于最小强子偏差的QCD求和规则计算轻夸克质量

Light quark masses from QCD sum rules with minimal hadronic bias

C. A. Dominguez, N. F. Nasrallah, R. Röntsch K. Schilcher

备注：
In Memoriam: Giuseppe (Beppe) Nardulli, Jan Stern, and Francisco (Paco) Yndurain. Invited talk given by C.A. Dominguez at QCD-08, 14th International QCD Conference, Montpellier, France, July 2008
发表信息：
Nucl.Phys.Proc.Suppl.186:133-136,2009
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摘要：

利用新的QCD有限能量求和规则（FESR）在赝标通道中计算了轻夸克的质量。这个FESR涉及一个集成内核，旨在大大减少（未测量）强子共振谱函数的贡献。FESR的QCD部分包括五圈级的微扰QCD（PQCD）和非微扰项。在强子部分，主要的贡献来自赝标介子极。用等高线改进微扰理论（CIPT），在2 GeV的尺度下夸克质量的结果是$m_u(Q= 2 {GeV}) = 2.9 \pm 0.2 {MeV}$、$m_d(Q= 2 {GeV}) = 5.3 \pm 0.4 {MeV}$和$m_s(Q= 2 {GeV}) = 102 \pm 8 {MeV}$，对于$Λ= 381 \pm 16 {MeV}$，对应于$α_s(M_τ^2) = 0.344 \pm0.009$。在这个框架下，由未测强子共振谱函数得到的夸克质量的系统不确定性小于2 - 3%。上述剩余的不确定性来自于$Λ$中的不确定性、未知的六圈PQCD贡献和胶子凝聚，这些都有可能得到改进。

英文摘要：

The light quark masses are determined using a new QCD Finite Energy Sum Rule (FESR) in the pseudoscalar channel. This FESR involves an integration kernel designed to reduce considerably the contribution of the (unmeasured) hadronic resonance spectral functions. The QCD sector of the FESR includes perturbative QCD (PQCD) to five loop order, and the leading non-perturbative terms. In the hadronic sector the dominant contribution is from the pseudoscalar meson pole. Using Contour Improved Perturbation Theory (CIPT) the results for the quark masses at a scale of 2 GeV are $m_u(Q= 2 {GeV}) = 2.9 \pm 0.2 {MeV}$, $m_d(Q= 2 {GeV}) = 5.3 \pm 0.4 {MeV}$, and $m_s(Q= 2 {GeV}) = 102 \pm 8 {MeV}$, for $Λ= 381 \pm 16 {MeV}$, corresponding to $α_s(M_τ^2) = 0.344 \pm0.009$. In this framework the systematic uncertainty in the quark masses from the unmeasured hadronic resonance spectral function amounts to less than 2 - 3 %. The remaining uncertainties above arise from those in $Λ$, the unknown six-loop PQCD contribution, and the gluon condensate, which are all potentially subject to improvement.

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