An automatized algorithm to compute infrared divergent multi-loop integrals.
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Publication:5935010
DOI10.1016/S0550-3213(00)00429-6zbMATH Open1042.81565arXivhep-ph/0004013OpenAlexW1989754794WikidataQ127029928 ScholiaQ127029928MaRDI QIDQ5935010
Author name not available (Why is that?)
Publication date: 14 May 2001
Published in: (Search for Journal in Brave)
Abstract: We describe a constructive procedure to separate overlapping infrared divergences in multi-loop integrals. Working with a parametric representation in D=4-2*epsilon dimensions, adequate subtractions lead to a Laurent series in epsilon, where the coefficients of the pole- and finite terms are sums of regular parameter integrals which can be evaluated numerically. We fully automatized this algorithm by implementing it into algebraic manipulation programs and applied it to calculate numerically some nontrivial 2-loop 4-point and 3-loop 3-point Feynman diagrams. Finally, we discuss the applicability of our method to phenomenologically relevant multi--loop calculations such as the NNLO QCD corrections for e^+e^- --> 3 jets.
Full work available at URL: https://arxiv.org/abs/hep-ph/0004013
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