Efficient contraction of 1-loop N-point tensor integrals
Abstract
A new approach for the reduction of tensor integrals is described. The standard decomposition \`{a} la Davydychev is applied. Integrals with higher indices are then expressed in terms of scalar higher-dimensional integrals with generic indices. The approach allows to perform contractions with external momenta in a particularly efficient manner. This is due to the possibility to perform analytically the resulting sums over the indices of products of signed minors and scalar products of chords. Advantages of this approach for the calculation of cross sections are described. We are preparing the numerical package OLEC (\texttt{O}ne \texttt{L}oop \texttt{E}xternal \texttt{C}ontractions) with interfaces in Mathematica for algebraic and in C++ for numerical calculations. First numerical results are discussed.
Keywords
Cite
@article{arxiv.1211.3921,
title = {Efficient contraction of 1-loop N-point tensor integrals},
author = {Jochem Fleischer and Janusz Gluza and Marek Gluza and Tord Riemann and Radomir Sevillano},
journal= {arXiv preprint arXiv:1211.3921},
year = {2012}
}
Comments
13 pages, contribution to the Proceedings of "Loops and Legs 2012", to appear in PoS(LL2012)