On the tensor reduction of one-loop pentagons and hexagons

2); (2) Univ. Bielefeld; (3) Univ. of Silesia); J.B. Tausk (1) ((1) DESY; J. Fleischer (1; J. Gluza (3); K. Kajda (3); T. Diakonidis (1); T. Riemann (1); Zeuthen

arxiv: 0807.2984 · v1 · submitted 2008-07-18 · ✦ hep-ph

On the tensor reduction of one-loop pentagons and hexagons

T. Diakonidis (1) , J. Fleischer (1 , 2) , J. Gluza (3) , K. Kajda (3) , T. Riemann (1) , J.B. Tausk (1) ((1) DESY , Zeuthen

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(2) Univ. Bielefeld (3) Univ. of Silesia)

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classification ✦ hep-ph

keywords integralsone-loopreductionstensoranalyticalbeencalledcompact

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We perform analytical reductions of one-loop tensor integrals with 5 and 6 legs to scalar master integrals. They are based on the use of recurrence relations connecting integrals in different space-time dimensions. The reductions are expressed in a compact form in terms of signed minors, and have been implemented in a mathematica package called hexagon.m. We present several numerical examples.

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On the tensor reduction of one-loop pentagons and hexagons

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