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Compton scattering vertex for massive scalar QED
journal contribution
posted on 2023-05-17, 00:27 authored by Bashir, A, Concha-Sanchez, Y, Robert DelbourgoRobert Delbourgo, Tejeda-Yeomans, MEWe investigate the Compton scattering vertex of charged scalars and photons in scalar quantum electrodynamics (SQED). We carry out its nonperturbative construction consistent with Ward-Fradkin-Green-Takahashi identity 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 nontrivial integrals reported in this paper. We also discuss possible applications of our results.
History
Publication title
Physical Review DVolume
80Issue
4Article number
045007Number
045007Pagination
1-15ISSN
1550-7998Department/School
School of Natural SciencesPublisher
American Physical SocietyPlace of publication
College Pk, USARights statement
Copyright © 2009 The American Physical SocietyRepository Status
- Restricted