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- W4378508642 abstract "In this manuscript, we elaborate on a procedure to derive $epsilon$-factorised differential equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special functions beyond multiple polylogarithms. We demonstrate the applicability of our approach to diverse classes of problems, by working out $epsilon$-factorised differential equations for single- and multi-scale problems of increasing complexity. To start we are reconsidering the well-studied equal-mass two-loop sunrise case, and move then to study other elliptic two-, three- and four-point problems depending on multiple different scales. Finally, we showcase how the same approach allows us to obtain $epsilon$-factorised differential equations also for Feynman integrals that involve geometries beyond a single elliptic curve." @default.
- W4378508642 created "2023-05-27" @default.
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- W4378508642 date "2023-05-23" @default.
- W4378508642 modified "2023-09-27" @default.
- W4378508642 title "On a procedure to derive $epsilon$-factorised differential equations beyond polylogarithms" @default.
- W4378508642 doi "https://doi.org/10.48550/arxiv.2305.14090" @default.
- W4378508642 hasPublicationYear "2023" @default.
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