On the Compton scattering vertex for massive scalar QED

Abstract

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.

15 pages, 2 figures, uses axodraw

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• Scalar one-loop integrals for QCD
• Loop induced interference effects in Higgs Boson plus two jet production at the LHC
• The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
• Six-Photon Amplitudes in Scalar QED
• 3-point off-shell vertex in scalar QED in arbitrary gauge and dimension
• First order radiative corrections to Bhabha scattering in $d$ dimensions
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Cited by in corpus (7)

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• Multiphoton amplitudes and generalized LKF transformation in Scalar QED
• Chiral Symmetry Breaking and Confinement Beyond Rainbow-Ladder Truncation
• Batalin-Fradkin-Vilkovisky quantization of the generalized scalar electrodynamics
• Constructing Scalar-Photon Three Point Vertex in Massless Quenched Scalar QED
• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics