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Joint INFN-UNIMI-UNIMIB Pheno Seminars
Series expansions methods for Feynman integrals and the DiffExp Mathematica package
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Europe/Zurich
https://fisica-unimi.zoom.us/j/93801268810?pwd=NHB5c2N3aVhFVlNSSllGeWNLNUxCQT09
https://fisica-unimi.zoom.us/j/93801268810?pwd=NHB5c2N3aVhFVlNSSllGeWNLNUxCQT09
Description
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:1907.13234, 1907.13156 and 1911.06308, it was shown that this method can be used for the high-precision numerical evaluation of all 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.
