arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0904.4443hep-phhep-latnucl-th
收藏

对偶破坏对alpha_s理论误差的贡献

Contribution from Duality Violations to the theoretical error on alpha_s

O. Cata, M. Golterman, S. Peris

摘要:

对偶违反(DVs)是算子乘积展开在描述物理轴上的量子色动力学算符时失败的别称。使用物理激励的分析,对谱函数的拟合使我们能够获得tau数据中存在的DV量的定量估计。拟合的质量比预期的要好。由于DV在过去没有被包括在α_s的测定中,它们相当于一个额外的理论误差,我们估计该误差可能是δ α_s(m_{tau})\sim 0.003-0.010。特别地,我们的计算满足第一温伯格求和规则,这表明该求和规则不足以迫使DV为零。

英文摘要:

Duality Violations (DVs) is a nickname for the failure of the Operator Product Expansion to describe QCD correlators on the physical axis. Using a physically motivated ansatz, a fit to the spectral functions allows us to get a quantitative estimate for the amount of DVs present in tau data. The quality of the fit turns out to be better than expected. Since DVs have not been included in the past in the determination of alpha_s, they amount to an additional theoretical error which we estimate could be δalpha_s(m_{tau}) \sim 0.003-0.010 . Our ansatz satisfies, in particular, the 1st Weinberg sum rule, which shows that this sum rule is not enough to force DVs to vanish.

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。

↑