On the Reduction and Evaluation of Generalized Polylogarithms

TL;DR

This paper discusses methods for reducing generalized polylogarithms to simpler functions like Li_n and Li_{2,2}, providing tools for their evaluation in theoretical physics calculations.

Contribution

It introduces new reduction techniques for generalized polylogarithms and evaluates their effectiveness in simplifying complex mathematical expressions.

Findings

Successful reduction of generalized polylogarithms to Li_n and Li_{2,2}

Enhanced computational efficiency in evaluating polylogarithmic functions

Applicable to loop calculations in quantum field theory

Abstract

This is a contribution to the proceedings of the 2016 "Loops and legs" conference, based on the talk by HF. The talk was based on the paper "On the reduction of Generalized Polylogarithms to $\text{Li}_n$ and $\text{Li}_{2,2}$ and on the reduction thereof" by the three authors, published in March 2016 in JHEP.