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arXiv · 1002.1289

Using Feynman's Tree Theorem to Evaluate Loop Integrals Numerically

Wolfgang Kilian·Tobias Kleinschmidt
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Abstract

We report on a new method for the numerical evaluation of loop integrals, based on the Feynman Tree Theorem. The loop integrals are replaced by phase-space integration over fictitious extra on-shell particles. This integration can be performed alongside with the Monte-Carlo integration of ordinary phase-space, directly leading to NLO event generation.

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Wolfgang Kilian, Tobias Kleinschmidt. 2010-02-05. Using Feynman's Tree Theorem to Evaluate Loop Integrals Numerically. https://arxiv.org/abs/1002.1289

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