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arXiv 0709.2709hep-ph
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用有效场论恢复和事件叠加的NLO匹配

Resummation and NLO Matching of Event Shapes with Effective Field Theory

Matthew D. Schwartz

摘要:

用软共线有效理论计算了e+e湮没中的微分推力率。计算结果表明,在双射流区T1内的分布与用标准方法导出的相应表达式一致。然后描述了在T < 1处考虑有限校正的匹配过程。SCET方法有两个重要的优点。首先,SCET除了质心能量Q和喷流质量尺度p ~ Q ~ sqrt(1 - T)外,还表现出动力学的跷跷板尺度q = p^2/Q。因此,p/q的测井曲线的再确认可以清楚地与Q/p的测井曲线的再确认区分开。第二,环振幅的有限部分出现在扰动分布中的特定位置:在与硬函数的匹配中,在尺度Q处,在与射流函数的匹配中,在尺度p处,以及在与软函数的匹配中,在尺度q处。这允许固定顺序校正和重新校正的一致合并。特别地,总NLO e+e-截面从这些有限部分再现,而不必执行附加的红外调节。

英文摘要:

The resummed differential thrust rate in e+e- annihilation is calculated using Soft-Collinear Effective Theory (SCET). The resulting distribution in the two-jet region T~1 is found to agree with the corresponding expression derived by the standard approach. A matching procedure to account for finite corrections at T < 1 is then described. There are two important advantages of the SCET approach. First, SCET manifests a dynamical seesaw scale q = p^2/Q in addition to the center-of-mass energy Q and the jet mass scale p ~ Q ~ sqrt(1 - T). Thus, the resummation of logs of p/q can be cleanly distinguished from the resummation of logs of Q/p. Second, finite parts of loop amplitudes appear in specific places in the perturbative distribution: in the matching to the hard function, at the scale Q, in matching to the jet function, at the scale p, and in matching to the soft function, at the scale q. This allows for a consistent merger of fixed order corrections and resummation. In particular, the total NLO e+e- cross section is reproduced from these finite parts without having to perform additional infrared regulation.

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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