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Feynman integrals, geometries and differential equations

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arxiv 2309.07531 v1 pith:DHNXMJHV submitted 2023-09-14 hep-th hep-phmath-phmath.MP

Sebastian Pögel , Xing Wang , Stefan Weinzierl This is my paper · ORCID
classification hep-thhep-phmath-phmath.MP
keywords integralsfeynmanrelatedbananadifferentialfactorisedformloop
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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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