Near threshold expansion of Feynman diagrams

Details Near threshold expansion of Feynman diagrams Near threshold expansion of Feynman diagrams

2005-08-22

arxiv.org/abs/hep-ph/0508234v1

J.Math.Phys. 46 (2005) 072308

Physics

High Energy Physics

High Energy Physics - Phenomenology

57 pages, 7 figures

Scientific paper

10.1063/1.1947119

The near threshold expansion of Feynman diagrams is derived from their configuration space representation, by performing all x integrations. The general scalar Feynman diagram is considered, with an arbitrary number of external momenta, an arbitrary number of internal lines and an arbitrary number of loops, in n dimensions and all masses may be different. The expansions are considered both below and above threshold. Rules, giving real and imaginary part, are derived. Unitarity of a sunset diagram with I internal lines is checked in a direct way by showing that its imaginary part is equal to the phase space integral of I particles.

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