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

Charalampos Anastasiou | Zendy; Stefan Beerli | Zendy; Alejandro Daleo | Zendy

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

Author(s) -

Charalampos Anastasiou,

Stefan Beerli,

Alejandro Daleo

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/05/071

Subject(s) - feynman diagram , gravitational singularity , scalar (mathematics) , physics , representation (politics) , feynman graph , feynman integral , mathematical physics , loop (graph theory) , quark , amplitude , mathematics , particle physics , geometry , quantum mechanics , combinatorics , politics , political science , law

We present a method to evaluate numerically Feynman diagrams directly fromtheir Feynman parameters representation. We first disentangle overlappingsingularities using sector decomposition. Threshold singularities are treatedwith an appropriate contour deformation. We have validated our techniquecomparing with recent analytic results for the gg->h two-loop amplitudes withheavy quarks and scalar quarks.Comment: 8 pages, 3 figures; references added, version to appear in JHE

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