Feynman integrals, geometries and differential equations

Sebastian Pögel; Xing Wang; Stefan Weinzierl

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arXiv · 2309.07531

Feynman integrals, geometries and differential equations

Sebastian Pögel·Xing Wang·Stefan Weinzierl

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Abstract

In this talk we discuss the construction of a basis of master integrals for the family of the $l$-loop equal-mass banana integrals, such that the differential equation is in an $\varepsilon$-factorised form. As the $l$-loop banana integral is related to a Calabi-Yau $(l-1)$-fold, this extends the examples where an $\varepsilon$-factorised form has been found from Feynman integrals related to curves (of genus zero and one) to Feynman integrals related to higher-dimensional varieties.

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Sebastian Pögel, Xing Wang, Stefan Weinzierl. 2023-09-14. Feynman integrals, geometries and differential equations. https://arxiv.org/abs/2309.07531

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