The evaluation of loop amplitudes via differential equations
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
The evaluation of loop amplitudes via differential equations and harmonic polylogarithms is discussed at an introductory level. The method is based on evolution equations in the masses or in the external kinematical invariants and on a proper choice of the basis of the trascendental functions. The presentation is pedagogical and goes through specific one-loop and two-loop examples in order to illustrate the general elements and ideas.
Keywords
Cite
@article{arxiv.hep-ph/0408014,
title = {The evaluation of loop amplitudes via differential equations},
author = {U. Aglietti},
journal= {arXiv preprint arXiv:hep-ph/0408014},
year = {2007}
}
Comments
LaTex file, 16 pages, no figures, talk presented at IFAE (Incontri di Fisica delle Alte Energie), Torino 14-16 April 2004