Series expansions methods for Feynman integrals, the DiffExp Mathematica package, and various applications

I will discuss the computation of Feynman integrals from their systems of differential equations in terms of series solutions along one-dimensional contours in phase-space. In arXiv:1907.13156 and arXiv:1911.06308, we showed that this method can be used for the high-precision numerical evaluation of non-planar master integrals relevant for Higgs + jet production at NLO with full heavy quark mass dependence. More recently, I developed in arXiv:2006.05510 the Mathematica package DiffExp that provides a public implementation of such series expansion methods, and which can be applied to user-provided systems of differential equations. I will discuss the algorithms underlying the DiffExp package, and a number of possible applications of the package, such as the computation of the (earlier mentioned) H+j integral families, and the computation of Feynman integrals for which the underlying space of functions is not well studied.

Wednesday 16th December 2020, ore 14:30 — Webex seminar