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}×U (1 )_{R} symmetry, with the same number of leptons and gauge fields as in the usual WeinbergSalam 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 VSRinvariant term will produce neutrino oscillations and new processes are allowed. In particular, we compute the rate of the decays μ →e +γ . 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 nonlocal model. Second quantization is carried out, and we obtain a welldefined particle content. Additionally, we do a counting of the degrees of freedom associated with 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 [J. Alfaro, H. MoralesTecotl, and L. F. Urrutia, Phys. Rev. Lett. 84, 2318 (2000); Phys. Rev. D 65, 103509 (2002)]. It is a remarkable possibility that the lowenergy effects of Lorentz violation induced by quantum gravity could be contained in the nonlocal terms of the VSR EW SM.
 Publication:

Physical Review D
 Pub Date:
 May 2015
 DOI:
 10.1103/PhysRevD.91.105007
 arXiv:
 arXiv:1504.04222
 Bibcode:
 2015PhRvD..91j5007A
 Keywords:

 12.60.i;
 11.30.Cp;
 12.15.y;
 13.15.+g;
 Models beyond the standard model;
 Lorentz and Poincare invariance;
 Electroweak interactions;
 Neutrino interactions;
 High Energy Physics  Phenomenology
 EPrint:
 Latex, 24 pages. Accepted for publication in Phys. Rev. D