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DiffExp

swMATH ID: 37947
Software Authors: Martijn Hidding
Description: DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions. 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.
Homepage: https://arxiv.org/abs/2006.05510
Dependencies: Mathematica
Keywords: High Energy Physics; arXiv_hep-ph; arXiv_hep-th; DiffExp; Mathematica; Feynman integrals; one-dimensional series expansions
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Cited in: 3 Publications

Standard Articles

1 Publication describing the Software Year
DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions
Martijn Hidding
2020

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