Closed-Form Decomposition of One-Loop Massive Amplitudes

Details Closed-Form Decomposition of One-Loop Massive Amplitudes Closed-Form Decomposition of One-Loop Massive Amplitudes

2008-03-13

arxiv.org/abs/0803.1989v1

Phys.Rev.D78:025031,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

37 pages

Scientific paper

10.1103/PhysRevD.78.025031

We present formulas for the coefficients of 2-, 3-, 4- and 5-point master integrals for one-loop massive amplitudes. The coefficients are derived from unitarity cuts in D dimensions. The input parameters can be read off from any unitarity-cut integrand, as assembled from tree-level expressions, after simple algebraic manipulations. The formulas presented here are suitable for analytical as well as numerical evaluation. Their validity is confirmed in two known cases of helicity amplitudes contributing to gg -> gg and gg -> gH, where the masses of the Higgs and the fermion circulating in the loop are kept as free parameters.

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