We describe a systematic approach to cast the differential equation for the l-loop equal mass banana integral into an ε-factorised form. With the known boundary value at a specific point we obtain systematically the term of order j in the expansion in the dimensional regularisation parameter ε for any loop l. The approach is based on properties of Calabi-Yau operators, and in particular on self-duality.
Cite
@article{arxiv.2212.08908,
title = {Bananas of equal mass: any loop, any order in the dimensional regularisation parameter},
author = {Sebastian Pögel and Xing Wang and Stefan Weinzierl},
journal= {arXiv preprint arXiv:2212.08908},
year = {2023}
}