Differential equations on unitarity cut surfaces
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Publication:683239
DOI10.1007/JHEP06(2017)121zbMATH Open1380.81135arXiv1702.02355OpenAlexW2590575619MaRDI QIDQ683239
Author name not available (Why is that?)
Publication date: 5 February 2018
Published in: (Search for Journal in Brave)
Abstract: We reformulate differential equations (DEs) for Feynman integrals to avoid doubled propagators in intermediate steps. External momentum derivatives are dressed with loop momentum derivatives to form tangent vectors to unitarity cut surfaces, in a way inspired by unitarity-compatible IBP reduction. For the one-loop box, our method directly produces the final DEs without any integration-by-parts reduction. We further illustrate the method by deriving maximal-cut level differential equations for two-loop nonplanar five-point integrals, whose exact expressions are yet unknown. We speed up the computation using finite field techniques and rational function reconstruction.
Full work available at URL: https://arxiv.org/abs/1702.02355
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