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Abstract: We investigate the Compton scattering vertex of charged scalars and photonsin scalar quantum electrodynamics SQED. We carry out its non perturbativeconstruction consistent with Ward-Fradkin-Green-Takahashi identity WFGTIwhich relates 3-point vertices to the 4-point ones. There is an undeterminedpart which is transverse to one or both the external photons, and needs to beevaluated through perturbation theory. We present in detail how the transversepart at the 1-loop order can be evaluated for completely general kinematics ofmomenta involved in covariant gauges and dimensions. This involves thecalculation of genuine 4-point functions with three massive propagators, themost non-trivial integrals reported in this paper. We also discuss possibleapplications of our results.



Autor: A. Bashir, Y. Concha-Sanchez, R. Delbourgo, M.E. Tejeda-Yeomans

Fuente: https://arxiv.org/







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