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Introducing SummerTime: A package for high-precision computation of sums appearing in DRA1 method

Roman N. Lee
Organization: Budker Institute of Nuclear Physics and Novosibirsk State University
Kirill T. Mingulov
Journal / Anthology

Computer Physics Communications
Year: 2016
Volume: 203
Page range: 255-267

We present the Mathematica package SummerTime for arbitrary-precision computation of sums appearing in the results of DRA method (Lee, 2010). 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 (Lee et al., 2010; Lee and Smirnov, 2011; Lee et al., 2011, 2012). The package can be used for high-precision numerical computation of the expansion of the integrals from the above families around arbitrary space-time dimension. In addition, this package contains convenient tools for the calculation of multiple zeta values, harmonic polylogarithms and other transcendental numbers expressed in terms of nested sums with factorized summand.

*Science > Physics