Dimensionally-regulated pentagon integrals
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Publication:1967591
DOI10.1016/0550-3213(94)90398-0zbMATH Open1007.81512arXivhep-ph/9306240OpenAlexW1997232571MaRDI QIDQ1967591
Author name not available (Why is that?)
Publication date: 6 March 2000
Published in: (Search for Journal in Brave)
Abstract: We present methods for evaluating the Feynman parameter integrals associated with the pentagon diagram in 4-2 epsilon dimensions, along with explicit results for the integrals with all masses vanishing or with one non-vanishing external mass. The scalar pentagon integral can be expressed as a linear combination of box integrals, up to O(epsilon) corrections, a result which is the dimensionally-regulated version of a D=4 result of Melrose, and of van Neerven and Vermaseren. We obtain and solve differential equations for various dimensionally-regulated box integrals with massless internal lines, which appear in one-loop n-point calculations in QCD. We give a procedure for constructing the tensor pentagon integrals needed in gauge theory, again through O(epsilon^0).
Full work available at URL: https://arxiv.org/abs/hep-ph/9306240
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