A $Sim(2)$ invariant dimensional regularization

Abstract

We introduce a $Sim(2)$ invariant dimensional regularization of loop integrals. Then we compute the one loop quantum corrections to the photon self energy, electron self energy and vertex in the Electrodynamics sector of the Very Special Relativity Standard Model(VSRSM).

11 pages, latex

References in corpus (4)

• Very Special Relativity
• A Lorentz-Violating Origin of Neutrino Mass?
• Electroweak standard model with very special relativity
• Implications of SU(2)_L x U(1) Symmetry for SIM(2) Invariant Neutrino Masses

Cited by in corpus (14)

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• Lorentz Violation in Finsler Geometry
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• Renormalization of Very Special Relativity gauge theories
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• Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
• Induced non-Abelian Chern-Simons effective action in very special relativity
• Graviton Mass Bounds in Very Special Relativity from Binary Pulsar's Gravitational Waves
• An alternative approach concerning Elko spinors and the hidden unitarity
• Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity
• Adler-Bell-Jackiw anomaly in VSR electrodynamics
• Photon-Photon Scattering in Very Special Relativity
• Path integral analysis of the axial anomaly in Very Special Relativity