Numerical evaluation of phase space integrals by sector decomposition

Preprint

25 February 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/0402265

Abstract

In a series of papers we have developed the method of iterated sector decomposition for the calculation of infrared divergent multi-loop integrals. Here we apply it to phase space integrals to calculate a contribution to the double real emission part of the e+e- -> 2 jets cross section at NNLO. The explicit cancellation of infrared poles upon summation over all possible cuts of a given topology is worked out in detail for a specific example.

Keywords

PHASE SPACE INTEGRALS
SECTOR DECOMPOSITION
NUMERICAL EVALUATION
METHOD OF ITERATED
SPACE INTEGRALS
SUMMATION
JETS

All Related Versions

Version 1, 2004-02-25, ArXiv
Published version: Nuclear Physics B, 693 (1-3), 134.

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