J_AW、WA在Passarino-Veltman复位中发挥作用
J_AW,WA functions in Passarino-Veltman reduction
摘要：
在本文中，我们继续研究一类特殊的Passarino-Veltman函数J产生的红外发散盒图的减少。我们描述了两种类型的奇异性，红外和质量奇异性，这是吸收在简单的C 0函数分离的过程。C 0的红外发散可以通过任何方法来正则化：光子质量，维度或不稳定粒子的宽度。函数J又表示为标准D 0和C 0 Passarino-Veltman函数的某些线性组合。前者是免费的这两种类型的奇点，并表示为明确和紧凑的线性组合的矩阵和双对数函数。我们提出了广泛的数值计算结果与获得的帮助下的LoopTools包的比较。
英文摘要：
In this paper we continue to study a special class of Passarino-Veltman functions J arising at the reduction of infrared divergent box diagrams. We describe a procedure of separation of two types of singularities, infrared and mass singularities, which are absorbed in simple C0 functions. The infrared divergences of C0's can be regularized then by any method: photon mass, dimensionally or by the width of an unstable particle. Functions J, in turn, are represented as certain linear combinations of the standard D0 and C0 Passarino-Veltman functions. The former are free of both types of singularities and are expressed as explicit and compact linear combinations of logarithms and dilogarithm functions. We present extensive comparisons of numerical results with those obtained with the aid of the LoopTools package.
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