DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions
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by
Martijn Hidding
2020
Abstract
DiffExp is a Mathematica package for integrating families of Feynman
integrals order-by-order in the dimensional regulator from their systems of
differential equations, in terms of one-dimensional series expansions along
lines in phase-space, which are truncated at a given order in the line
parameter. DiffExp is based on the series expansion strategies that were
explored in recent literature for the computation of families of Feynman
integrals relevant for Higgs plus jet production with full heavy quark mass
dependence at next-to-leading order. The main contribution of this paper, and
its associated package, is to provide a public implementation of these series
expansion methods, which works for any family of integrals for which the user
provides a set of differential equations and boundary conditions (and for which
the program is not computationally constrained.) The main functions of the
DiffExp package are discussed, and its use is illustrated by applying it to the
three loop equal-mass and unequal-mass banana graph families.
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