Journal
NUCLEAR PHYSICS B
Volume 654, Issue 1-2, Pages 277-300Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0550-3213(03)00052-X
Keywords
perturbative calculations; scalar integrals; multi-parton reactions
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We derive an analytic expression for the scalar one-loop pentagon and hexagon functions which is convenient for subsequent numerical integration. These functions are of relevance in the computation of next-to-leading order radiative corrections to multi-particle cross sections. The hexagon integral is represented in terms of n-dimensional triangle functions and (n + 2)-dimensional box functions. If infrared poles are present this representation naturally splits into a finite and a pole part. For a fast numerical integration of the finite part we propose simple one- and two-dimensional integral representations. We set up an iterative numerical integration method to calculate these integrals directly in an efficient way. The method is illustrated by-explicit results for pentagon and hexagon functions with some generic physical kinematics. (C) 2003 Elsevier Science B.V. All rights reserved.
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