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arXiv 1001.2269hep-ph
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QCD中夸克-强子对偶破坏和谱手征矩

Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD

Martin Gonzalez-Alonso, Antonio Pich, Joaquim Prades

摘要:

分析了V-A两点关联函数的谱矩。使用所有已知的短距离约束和最近的实验数据从τ衰变,我们确定的最低谱矩,试图评估与所谓的违反夸克强子对偶性的不确定性。我们已经产生了大量的“可接受的”谱函数,满足所有的条件,并已使用它们来提取想要的强子参数通过仔细的统计分析。我们获得了ChPT耦合L10和C87的精确值,以及算子乘积展开中尺寸6和8贡献的实际测定,O 6 =(-5.4 ^{+3.6}_{-1.6})*10^-3 GeV^6和O 8 =(-8.9 ^{+12.6}_{-7.4})*10^-3 GeV^8,表明对偶破坏效应在以前的文献中通常被低估。

英文摘要:

We analyze the spectral moments of the V-A two-point correlation function. Using all known short-distance constraints and the most recent experimental data from tau decays, we determine the lowest spectral moments, trying to assess the uncertainties associated with the so-called violations of quark-hadron duality. We have generated a large number of "acceptable" spectral functions, satisfying all conditions, and have used them to extract the wanted hadronic parameters through a careful statistical analysis. We obtain accurate values for the ChPT couplings L10 and C87, and a realistic determination of the dimension six and eight contributions in the operator product expansion, O6=(-5.4^{+3.6}_{-1.6})*10^-3 GeV^6 and O8=(-8.9^{+12.6}_{-7.4})*10^-3 GeV^8, showing that the duality-violation effects have been usually underestimated in previous literature.

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