-XSummer- Transcendental functions and symbolic summation in Form

Published: 1 May 2006| Version 1 | DOI: 10.17632/y5jx6nzn8j.1
S. Moch, P. Uwer


Abstract Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums, where the harmonic sums and their generalizations appear as building blocks, originating for example, from the expansion of generalized hypergeometric functions around integer values of the parameters. In this paper we discuss the implementation of several algorithms to solve these sums by a... Title of program: XSummer Catalogue Id: ADXQ_v1_0 Nature of problem Systematic expansion of higher transcendental functions in a small parameter. The expansions arise in the calculation of loop integrals in perturbative quantum field theory. Versions of this program held in the CPC repository in Mendeley Data ADXQ_v1_0; XSummer; 10.1016/j.cpc.2005.12.014 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computer Algebra System