The geometric bookkeeping guide to Feynman integral reduction and ε-factorised differential equations
This paper presents a systematic algorithm for obtaining ε-factorised differential equations for any Feynman integral by trivialising ε-dependence in integration-by-parts identities, optimising the Laporta algorithm to yield a specific master integral basis, and proving the transformability of the resulting equations into the desired form, all while significantly improving computational efficiency.
Iris Bree, Federico Gasparotto, Antonela Matijašic, Pouria Mazloumi, Dmytro Melnichenko, Sebastian Pögel, Toni Teschke, Xing Wang, Stefan Weinzierl, Konglong Wu, Xiaofeng Xu2026-03-27⚛️ hep-th