Mathematical aspects of scattering amplitudes
High Energy Physics - Phenomenology
2014-12-01 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In these lectures we discuss some of the mathematical structures that appear when computing multi-loop Feynman integrals. We focus on a specific class of special functions, the so-called multiple polylogarithms, and discuss introduce their Hopf algebra structure. We show how these mathematical concepts are useful in physics by illustrating on several examples how these algebraic structures are useful to perform analytic computations of loop integrals, in particular to derive functional equations among polylogarithms.
Keywords
Cite
@article{arxiv.1411.7538,
title = {Mathematical aspects of scattering amplitudes},
author = {Claude Duhr},
journal= {arXiv preprint arXiv:1411.7538},
year = {2014}
}
Comments
58 pages. Lectures presented at TASI 2014