Zero-threshold expansion of two-loop self-energy diagrams

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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24 pages latex with 17 postscript figures. A complete postscript file is available by anonymous ftp from 129.177.40.57 [anon

Scientific paper

10.1016/0550-3213(95)00018-N

An algorithm is constructed to derive a small momentum expansion for two-loop two-point diagrams in all cases where, due to the presence of physical thresholds, there are singularities at zero external momentum. The coefficients of this ``zero-threshold'' expansion are calculated analytically for arbitrary masses. Numerical examples, using diagrams occurring in the Standard Model, illustrate the convergence of the expansion below the first non-zero threshold.

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