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DiffExp is a Mathematica package for integrating families of Feynmanintegrals order-by-order in the dimensional regulator from their systems ofdifferential equations, in terms of one-dimensional series expansions alonglines in phase-space, which are truncated at a given order in the lineparameter. DiffExp is based on the series expansion strategies that wereexplored in recent literature for the computation of families of Feynmanintegrals relevant for Higgs plus jet production with full heavy quark massdependence at next-to-leading order. The main contribution of this paper, andits associated package, is to provide a public implementation of these seriesexpansion methods, which works for any family of integrals for which the userprovides a set of differential equations and boundary conditions (and for whichthe program is not computationally constrained.) The main functions of theDiffExp package are discussed, and its use is illustrated by applying it to thethree loop equal-mass and unequal-mass banana graph families.

DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions