Evaluating multi-loop Feynman diagrams with infrared and threshold singularities numerically

Details Evaluating multi-loop Feynman diagrams with infrared and threshold singularities numerically Evaluating multi-loop Feynman diagrams with infrared and threshold singularities numerically

2007-03-27

arxiv.org/abs/hep-ph/0703282v2

JHEP 0705:071,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 3 figures; references added, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2007/05/071

We present a method to evaluate numerically Feynman diagrams directly from their Feynman parameters representation. We first disentangle overlapping singularities using sector decomposition. Threshold singularities are treated with an appropriate contour deformation. We have validated our technique comparing with recent analytic results for the gg->h two-loop amplitudes with heavy quarks and scalar quarks.

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