Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method

TL;DR

SummerTime is a Mathematica package enabling high-precision numerical computation of complex sums from Feynman integral families, including expansions around arbitrary dimensions and calculations of special transcendental constants.

Contribution

The paper introduces SummerTime, a new Mathematica package that facilitates high-precision computations of sums in the DRA method, covering multiple integral families and special constants.

Findings

Enables high-precision numerical expansion of Feynman integrals.

Supports calculation of multiple zeta values and harmonic polylogarithms.

Applicable to various loop integrals in quantum field theory.

Abstract

We introduce the Mathematica package SummerTime for arbitrary-precision computation of sums appearing in the results of DRA method. So far these results include the following families of the integrals: 3-loop onshell massless vertices, 3-loop onshell mass operator type integrals, 4-loop QED-type tadpoles, 4-loop massless propagators. The package can be used for high-precision numerical computation of the expansion coefficients of the integrals from the above families around arbitrary space-time dimension. In addition, this package can also be used for calculation of multiple zeta values, harmonic polylogarithms and other transcendental numbers expressed in terms of nested sums with factorized summand.