Tensorial Reconstruction at the Integrand Level
High Energy Physics - Phenomenology
2010-11-08 v2
Abstract
We present a new approach to the reduction of one-loop amplitudes obtained by reconstructing the tensorial expression of the scattering amplitudes. The reconstruction is performed at the integrand level by means of a sampling in the integration momentum. There are several interesting applications of this novel method within existing techniques for the reduction of one-loop multi-leg amplitudes: to deal with numerically unstable points, such as in the vicinity of a vanishing Gram determinant; to allow for a sampling of the numerator function based on real values of the integration momentum; to optimize the numerical reduction in the case of long expressions for the numerator functions.
Cite
@article{arxiv.1008.2441,
title = {Tensorial Reconstruction at the Integrand Level},
author = {G. Heinrich and G. Ossola and T. Reiter and F. Tramontano},
journal= {arXiv preprint arXiv:1008.2441},
year = {2010}
}
Comments
20 pages, 2 figures