Analytical and numerical methods for massive two-loop self-energy diagrams

Details Analytical and numerical methods for massive two-loop self-energy diagrams Analytical and numerical methods for massive two-loop self-energy diagrams

1994-09-22

arxiv.org/abs/hep-ph/9409388v2

Nucl.Phys.B434:383-407,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages

Scientific paper

10.1016/0550-3213(94)00475-T

Motivated by the precision results in the electroweak theory studies of two-loopFeynman diagrams are performed. Specifically this paper gives a contribution to the knowledge of massive two-loop self-energy diagrams in arbitrary and especially four dimensions.This is done in three respects firstly results in terms of generalized, multivariable hypergeometric functions are presented giving explicit series for small and large momenta. Secondly the imaginary parts of these integrals are expressed as complete elliptic integrals.Finally one-dimensional integral representations with elementary functions are derived.They are very well suited for the numerical evaluations.

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