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 ε-factorised form. As the l-loop banana integral is related to a Calabi-Yau (l−1)-fold, this extends the examples where an ε-factorised form has been found from Feynman integrals related to curves (of genus zero and one) to Feynman integrals related to higher-dimensional varieties.
@article{arxiv.2309.07531,
title = {Feynman integrals, geometries and differential equations},
author = {Sebastian Pögel and Xing Wang and Stefan Weinzierl},
journal= {arXiv preprint arXiv:2309.07531},
year = {2023}
}