On the Compton scattering vertex for massive scalar QED

Details On the Compton scattering vertex for massive scalar QED On the Compton scattering vertex for massive scalar QED

2009-06-23

arxiv.org/abs/0906.4164v1

Phys.Rev.D80:045007,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 2 figures, uses axodraw

Scientific paper

10.1103/PhysRevD.80.045007

We investigate the Compton scattering vertex of charged scalars and photons in scalar quantum electrodynamics (SQED). We carry out its non perturbative construction consistent with Ward-Fradkin-Green-Takahashi identity (WFGTI) which relates 3-point vertices to the 4-point ones. There is an undetermined part which is transverse to one or both the external photons, and needs to be evaluated through perturbation theory. We present in detail how the transverse part at the 1-loop order can be evaluated for completely general kinematics of momenta involved in covariant gauges and dimensions. This involves the calculation of genuine 4-point functions with three massive propagators, the most non-trivial integrals reported in this paper. We also discuss possible applications of our results.

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