发表机构
Max-Planck-Institut für Physik, Werner-Heisenberg-Institut（马克斯·普朗克物理研究所，维尔纳·海森堡研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究从永久捏合角度处理红外发散，通过抵消永久捏合形成有限积分组合，无需正则化子即可计算领头红外发散，适用于多种积分类型，并确定了盒积分领头奇异项，给出非平面两圈五点拓扑的有限非渐逝积分基。
AI 中文摘要
我们从永久捏合的角度研究红外（IR）发散，证明抵消永久捏合可形成积分的有限线性组合；还证明无需引入正则化子，通过沿永久捏合簇的去奇异性积分某些留数形式，即可计算与方案无关的领头红外发散。我们的方法适用于无质量和混合有质量-无质量积分、任意分子的非平面积分，以及传播子的高阶（整数）幂次积分。我们利用该分析确定若干盒积分示例中的领头奇异项，还研究了更高圈的有限积分示例，尤其为非平面两圈五点拓扑中的有限非渐逝积分提供了一组基。
英文摘要
We study infrared (IR) divergences from the point of view of permanent pinches. We show how canceling permanent pinches allows us to form finite linear combinations of integrals. We further show how to compute scheme-independent leading IR divergences with- out introducing a regulator, by integrating certain residue forms along desingularizations of permanent pinch varieties. Our methods work for massless and mixed massive-massless inte- grals, for non-planar integrals with arbitrary numerators as well as for integrals with higher (integer) powers of propagators. We use this analysis to determine leading singular terms in some examples of box integrals. We further study examples of finite integrals at higher loops, and in particular provide a basis for finite non-evanescent integrals in a non-planar two-loop five-point topology.
Comments50 pages, 18 figures, 1 table
