AMFlow: A Mathematica package for Feynman integrals computation via auxiliary mass flow

Abstract

AMFlow is a Mathematica package to numerically compute dimensionally regularized Feynman integrals via the recently proposed auxiliary mass flow method. In this framework, integrals are treated as functions of an auxiliary mass parameter and their results can be obtained by constructing and solving linear differential systems with respect to this parameter, in an automatic way. The usage of this package is described in detail through an explicit example of double-box family involved in two-loop tt¯ hadroproduction. Program summaryProgram title:AMFlowCPC Library link to program files:https://doi.org/10.17632/nrkrw83bw5.1Developer's repository link:https://gitlab.com/multiloop-pku/amflowLicensing provisions: MITProgramming language:Wolfram Mathematica 11.3 or higherExternal routines:Wolfram Mathematica [1], FiniteFlow [2], LiteRed [3], Kira [4], FIRE [5]Nature of problem: Automatically obtaining high-precision numerical results for dimensionally regularized Feynman integrals at arbitrary points in phase-space.Solution method: The program implements recently proposed auxiliary mass flow method, which introduces an auxiliary mass parameter to Feynman integrals and solves differential equations with respect to this parameter to obtain physical results.