Stable One-Dimensional Integral Representations of One-Loop N-Point Functions in the General Massive Case: I - Three Point Functions

Abstract

In this article we provide representations for the one-loop three point functions in 4 and 6 dimensions in the general case with complex masses. The latter are part of the GOLEM library used for the computation of one-loop multileg amplitudes. These representations are one-dimensional integrals designed to be free of instabilites induced by inverse powers of Gram determinants, therefore suitable for stable numerical implementations.

40 pages, 1 figure

References in corpus (2)

• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• Optimizing the Reduction of One-Loop Amplitudes

Cited by in corpus (4)

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• A novel approach to the computation of one-loop three- and four-point functions. I -- The real mass case
• A novel approach to the computation of one-loop three- and four-point functions. II - The complex mass case