Generalizations of polylogarithms for Feynman integrals
arXiv:1603.00420 · doi:10.1088/1742-6596/762/1/012067
Abstract
In this talk, we discuss recent progress in the application of generalizations of polylogarithms in the symbolic computation of multi-loop integrals. We briefly review the Maple program MPL which supports a certain approach for the computation of Feynman integrals in terms of multiple polylogarithms. Furthermore we discuss elliptic generalizations of polylogarithms which have shown to be useful in the computation of the massive two-loop sunrise integral.
Talk presented at ACAT 2016 at UTFSM, Valparaíso, Chile
References in corpus (15)
- Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
- The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
- The massless higher-loop two-point function
- Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
- A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
- Elliptic integral evaluations of Bessel moments
- Feynman integrals and hyperlogarithms
- Iterated Binomial Sums and their Associated Iterated Integrals
- The iterated structure of the all-order result for the two-loop sunrise integral
- Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
- Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters
- BOKASUN: a fast and precise numerical program to calculate the Master Integrals of the two-loop sunrise diagrams
- A numerical test of differential equations for one- and two-loop sunrise diagrams using configuration space techniques
- MPL - a program for computations with iterated integrals on moduli spaces of curves of genus zero
- Elliptic integral evaluation of a Bessel moment by contour integration of a lattice Green function