The Integrand Reduction of One- and Two-Loop Scattering Amplitudes
Abstract
The integrand-level methods for the reduction of scattering amplitudes are well-established techniques, which have already proven their effectiveness in several applications at one-loop. In addition to the automation and refinement of tools for one-loop calculations, during the past year we observed very interesting progress in developing new techniques for amplitudes at two- and higher-loops, based on similar principles. In this presentation, we review the main features of integrand-level approaches with a particular focus on algebraic techniques, such as Laurent series expansion which we used to improve the one-loop reduction, and multivariate polynomial division which unveils the structure of multi-loop amplitudes.
Cite
@article{arxiv.1209.5678,
title = {The Integrand Reduction of One- and Two-Loop Scattering Amplitudes},
author = {P. Mastrolia and E. Mirabella and G. Ossola and T. Peraro and H. van Deurzen},
journal= {arXiv preprint arXiv:1209.5678},
year = {2012}
}
Comments
7 pages, v2: fixed typos, added references. Presented at "Loops and Legs in Quantum Field Theory", Wernigerode, Germany, 15-20 April 2012