论文标题
DIFFEXP，用于计算Feynman积分的Mathematica软件包，根据一维系列扩展
DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions
论文作者
论文摘要
DIFFEXP是一种数学软件包，用于从其微分方程系统中将Feynman积分逐级订购的家族逐级订购，这是根据一维串联沿相位空间的沿线扩展而言，这些串联沿线的延伸，这些串联在线空间的线路中以线空的方式截断。 DIFFEXP基于最近在文献中探讨的系列扩展策略，用于计算Feynman积分家族与Higgs和JET生产相关的家族，并在近代领先的顺序下具有完全重型夸克质量依赖。本文的主要贡献及其相关的包装是提供这些系列扩展方法的公开实施，该方法适用于用户提供一组微分方程和边界条件的任何积分家族（并且该程序不受计算的约束。
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.
