Scalar one-loop 4-point integrals
Scalar one-loop 4-point integrals
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DOI：
10.1016/j.nuclphysb.2010.11.002
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发表时间：
2010-05
期刊：
影响因子：
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通讯作者：
A. Denner;S. Dittmaier
中科院分区：
文献类型：
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作者：
A. Denner;S. Dittmaier
给出了QCD、QED、电弱标准模型及其常用扩展中单环计算中出现的标量4点函数的完整结果集。复杂的内部质量，需要计算涉及不稳定的粒子，支持自始至终，而复杂的动量不支持。特别地，对于最一般的、规则的情况，我们给出了两个独立的结果，分别是72和32二对数。此外，我们列出了在维度正则化、质量正则化和混合类型正则化中所有软奇异和/或共线性奇异情况的明确结果。不考虑在实际应用中很少出现的带有消失的修正凯莱行列式的例外情况。
We provide a complete set of results for the scalar 4-point function appearing in one-loop calculations in QCD, QED, the electroweak Standard Model and popular extensions thereof. Complex internal masses, which are needed for calculations involving unstable particles, are supported throughout, whereas complex momenta are not supported. In particular, for the most general, regular case we present two independent results in terms of 72 and 32 dilogarithms. In addition we list explicit results for all soft- and/or collinear-singular cases in dimensional regularization, mass regularization, and in regularizations of mixed type. The exceptional case with a vanishing modified Cayley determinant, which hardly appears in applications, is not considered.