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arxiv: hep-ph/0505038 · v3 · submitted 2005-05-05 · ✦ hep-ph · hep-th

Asymptotics of Feynman Diagrams and The Mellin-Barnes Representation

classification ✦ hep-ph hep-th
keywords feynmanrepresentationdiagramsanalyticasymptoticasymptoticsbehaviourscalled
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It is shown that the integral representation of Feynman diagrams in terms of the traditional Feynman parameters, when combined with properties of the Mellin--Barnes representation and the so called {\it converse mapping theorem}, provide a very simple and efficient way to obtain the analytic asymptotic behaviours in both the large and small ratios of mass scales.

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