Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder

Jacob L. Bourjaily; Matthias Volk; Matt von Hippel

Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder

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arxiv 1912.05690 v1 pith:D6JPI2CK submitted 2019-12-11 hep-th

Jacob L. Bourjaily , Matthias Volk , Matt von Hippel This is my paper · ORCID

classification hep-th

keywords remaindertwo-loopdirectfunctionintegrationregulatoramplitudeanomalous

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We reproduce the two-loop seven-point remainder function in planar, maximally supersymmetric Yang-Mills theory by direct integration of conformally-regulated chiral integrands. The remainder function is obtained as part of the two-loop logarithm of the MHV amplitude, the regularized form of which we compute directly in this scheme. We compare the scheme-dependent anomalous dimensions and related quantities in the conformal regulator with those found for the Higgs regulator.

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Any massless-internal Feynman integral is a limit of a conformal integral, letting conformal-family computations supply exact answers for many Feynman diagrams.

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