Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-06-27
Nucl.Phys.Proc.Suppl. 37B (1994) 95-114
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 21 pages, postscript files of four figures added as uuencoded tar-compressed file, to appear in Nucl. Phys. B (Proceedi
Scientific paper
10.1016/0920-5632(94)90665-3
Motivated by the results of the electroweak precision experiments, studies of two-loop self-energy Feynman diagrams are performed. An algebraic method for the reduction of all two-loop self-energies to a set of standard scalar integrals is presented. The gauge dependence of the self-energies is discussed and an extension of the pinch technique to the two-loop level is worked out. It is shown to yield a special case of the background-field method which provides a general framework for deriving Green functions with desirable theoretical properties. The massive scalar integrals of self-energy type are expressed in terms of generalized multivariable hypergeometric functions. The imaginary parts of these integrals yield complete elliptic integrals. Finally, one-dimensional integral representations with elementary integrands are derived which are well suited for numerical evaluation.
Bauberger S.
Berends F. A.
Böhm Markus
Buza M.
Weiglein Georg
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