From multiple unitarity cuts to the coproduct of Feynman integrals
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Publication:271266
DOI10.1007/JHEP10(2014)125zbMATH Open1333.81148arXiv1401.3546OpenAlexW3101475138MaRDI QIDQ271266
Author name not available (Why is that?)
Publication date: 7 April 2016
Published in: (Search for Journal in Brave)
Abstract: We develop techniques for computing and analyzing multiple unitarity cuts of Feynman integrals, and reconstructing the integral from these cuts. We study the relations among unitarity cuts of a Feynman integral computed via diagrammatic cutting rules, the discontinuity across the corresponding branch cut, and the coproduct of the integral. For single unitarity cuts, these relations are familiar. Here we show that they can be generalized to sequences of unitarity cuts in different channels. Using concrete one- and two-loop scalar integral examples we demonstrate that it is possible to reconstruct a Feynman integral from either single or double unitarity cuts. Our results offer insight into the analytic structure of Feynman integrals as well as a new approach to computing them.
Full work available at URL: https://arxiv.org/abs/1401.3546
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