Electroweak standard model with very special relativity

Abstract

The Very Special Relativity Electroweak Standard Model (VSR EW SM) is a theory with $SU(2{)}_L\times U(1{)}_R$ symmetry, with the same number of leptons and gauge fields as in the usual Weinberg-Salam (WS) model. No new particles are introduced. The model is renormalizable and unitarity is preserved. However, photons obtain mass and the massive bosons obtain different masses for different polarizations. Besides, neutrino masses are generated. A VSR invariant term will produce neutrino oscillations and new processes are allowed. In particular, we compute the rate of the decays $\mu \to e+\gamma$. All these processes, which are forbidden in the Electroweak Standard Model, put stringent bounds on the parameters of our model and measure the violation of Lorentz invariance. We investigate the canonical quantization of this non-local model. Second quantization is carried out obtaining a well defined particle concept. Additionally, we do a counting of the degrees of freedom associated to the gauge bosons involved in this work, after Spontaneous Symmetry Breaking has been realized. Violations of Lorentz invariance have been predicted by several theories of Quantum Gravity \cite{amu}. It is a remarkable possibility that the low energy effects of Lorentz violation induced by Quantum Gravity could be contained in the non-local terms of the VSR EW SM.

Latex, 24 pages. Accepted for publication in Phys. Rev. D

References in corpus (10)

• Lorentz-Violating Extension of the Standard Model
• Cosmological Magnetic Fields: Their Generation, Evolution and Observation
• Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
• Quantum gravity corrections to neutrino propagation
• Very Special Relativity
• Loop quantum gravity and light propagation
• A Lorentz-Violating Origin of Neutrino Mass?
• SIM(2)-invariant Modifications of Electrodynamic Theory
• Non Abelian Fields in Very Special Relativity
• Very Special (de Sitter) Relativity

Cited by in corpus (31)

• Charged Dilatonic Black Holes in Gravity's Rainbow
• Thermodynamic phase transition of a black hole in rainbow gravity
• Black Holes in Gauss-Bonnet Gravity's Rainbow
• Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
• Vaidya Spacetime for Galileon Gravity's Rainbow
• Very Special Relativity as a background field theory
• On the photon mass in Very Special Relativity
• A $Sim(2)$ invariant dimensional regularization
• A Non-static Quantum inspired Spacetime in $f(R)$ Gravity: Gravity's Rainbow
• Quantum field theory with a preferred direction: The very special relativity framework
• Schwinger Model à la Very Special Relativity
• Phenomenological Implications of Very Special Relativity
• Vaidya Spacetime in Brans-Dicke Gravity's Rainbow
• Renormalization of Very Special Relativity gauge theories
• Lorentz Violation in Finsler Geometry
• On the axial anomaly in Very Special Relativity
• Thermal effects of Very Special Relativity Quantum Electrodynamics
• Tree-level processes in very special relativity
• Effect of VSR invariant Chern-Simon Lagrangian on photon polarization
• Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
• Induced non-Abelian Chern-Simons effective action in very special relativity
• Thermodynamics of charged AdS black holes in rainbow gravity
• Graviton Mass Bounds in Very Special Relativity from Binary Pulsar's Gravitational Waves
• An alternative approach concerning Elko spinors and the hidden unitarity
• Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
• Adler-Bell-Jackiw anomaly in VSR electrodynamics
• Photon-Photon Scattering in Very Special Relativity
• The Effect of Modified Dispersion Relation on Dumb Holes
• Infrared Regularization of Very Special Relativity Models
• Path integral analysis of the axial anomaly in Very Special Relativity
• Meson spectrum in $QC{D}_2$ revisited