Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-08-06
Acta Phys.Polon. B29 (1998) 2611-2625
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 15 pages, uses axodraw.sty, Presented at Zeuthen Workshop on Elementary Particle Theory: Loops and Legs in Gauge Theori
Scientific paper
The method of the large mass expansion (LME) is investigated for selfenergy and vertex functions in two-loop order. It has the technical advantage that in many cases the expansion coefficients can be expressed analytically. As long as only one non-zero external momentum squared, $q^2$, is involved also the Taylor expansion (TE) w.r.t. small $q^2$ yields high precision results in a domain sufficient for most applications. In the case of only one non-zero mass $M$ and only one external momentum squared, the expansion w.r.t. $q^2/M^2$ is identical for the TE and the LME. In this case the combined techniques yield analytic expressions for many diagrams, which are quite easy to handle numerically.
Fleischer Jochem
Kotikov Anatoly V.
Veretin Oleg L.
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