Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-08-14
JHEP 1010:105,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
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.
Heinrich Georg
Ossola Giovanni
Reiter Thomas
Tramontano Francesco
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