Large Mass Expansion versus Small Momentum Expansion of Feynman Diagrams

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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LaTeX, 8 pages including 5 eps figures, uses epsf.sty

Scientific paper

10.1016/S0370-2693(98)00312-8

The method of the large mass expansion (LME) has the technical advantage that two-loop integrals occur only as bubbles with large masses. In many cases only one large mass occurs. In such cases these integrals are expressible in terms of $\Gamma$-functions, i.e. they can be handled completely analytically avoiding even recursions and therefore this approach may find a wide field of application. We consider it necessary to investigate the precision of this method and test it for several two-loop vertex functions ocurring in the $Z \to b\bar{b}$ decay by comparing it with the small momentum expansion. It turns out that in general high order approximants have to be taken into account for a sufficient accuracy.

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