New results for 5-point functions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, 1 figure, to appear in Proc. of Linear Collider Workshop 2007 (LCWS 07), Hamburg (Germany), May 30 - June 3, 2007

Scientific paper

Bhabha scattering is one of the processes at the ILC where high precision data will be expected. The complete NNLO corrections include radiative loop corrections, with contributions from Feynman diagrams with five external legs. We take these diagrams as an example and discuss several features of the evaluation of pentagon diagrams. The tensor functions are usually reduced to simpler scalar functions. Here we study, as an alternative, the application of Mellin-Barnes representations to 5-point functions. There is no evidence for an improved numerical evaluation of their finite, physical parts. However, the approach gives interesting insights into the treatment of the IR-singularities.

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