Publications and Research
Document Type
Article
Publication Date
10-28-2010
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.
Comments
This work was originally published in the Journal of High Energy Physics, available at doi:10.1007/JHEP10(2010)105.
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License.