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arXiv 0901.1897hep-ph
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因子化硬散射截面的红外安全性

Infrared Safety in Factorized Hard Scattering Cross-Sections

Andrew Hornig, Christopher Lee, Grigory Ovanesyan

摘要:

软共线有效理论的规则可以简单地用于将硬散射截面写成单独的硬函数、射流函数和软函数的卷积。保证这种分解的有效性的一个条件是这些函数在微扰理论中的红外安全性。以e+e-棱角分布为例,提出并说明了一种直观的方法来测试这种红外安全在一个循环。我们寻找区域的整合费曼图的总和,有助于喷气和软功能的积分成为红外发散。我们的分析是独立的一个明确的红外调节器,澄清了如何区分红外和紫外奇异性在纯维正则化,并证明了考虑零仓的必要性,以获得红外安全射流功能。

英文摘要:

The rules of soft-collinear effective theory can be used naively to write hard scattering cross-sections as convolutions of separate hard, jet, and soft functions. One condition required to guarantee the validity of such a factorization is the infrared safety of these functions in perturbation theory. Using e+e- angularity distributions as an example, we propose and illustrate an intuitive method to test this infrared safety at one loop. We look for regions of integration in the sum of Feynman diagrams contributing to the jet and soft functions where the integrals become infrared divergent. Our analysis is independent of an explicit infrared regulator, clarifies how to distinguish infrared and ultraviolet singularities in pure dimensional regularization, and demonstrates the necessity of taking zero-bins into account to obtain infrared-safe jet functions.

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