Tensorial Reconstruction at the Integrand Level

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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20 pages, 2 figures

Scientific paper

10.1007/JHEP10(2010)105

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.

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