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

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.

20 pages

References in corpus (3)

• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
• Application of the DRA method to the calculation of the four-loop QED-type tadpoles
• An Extremal Chiral Primary Three-Point Function at Two-loops in ABJ(M)

Cited by in corpus (27)

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• Three-loop massive tadpoles and polylogarithms through weight six
• Near and far zone in two-body dynamics: an effective field theory perspective
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