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arXiv · 1310.4397

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

J. Ph. Guillet·E. Pilon·M. Rodgers·M. S. Zidi
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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.

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J. Ph. Guillet, E. Pilon, M. Rodgers, M. S. Zidi. 2013-10-16. Stable One-Dimensional Integral Representations of One-Loop N-Point Functions in the General Massive Case: I - Three Point Functions. https://doi.org/10.1007/jhep11(2013)154

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