Electroweak standard model with very special relativity

October 13, 2016
3:00pm to 4:00pm

IFT Seminar Room/Red Room

Specialist level
Jorge Alfaro
U. Catolica de Chile

IFT Seminar Room/Red Room


The very special relativity electroweak Standard Model (VSR EW SM) is a theory with SU(2)_LXU(1)_R
symmetry, with the same number of leptons and gauge fields as in the usual Weinberg-Salam model. No new
particles are introduced. The model is renormalizable and unitarity is preserved.
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 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.
Violations of Lorentz invariance have been predicted by several theories of quantum gravity
[J. Alfaro, H. Morales-Tecotl, and L. F. Urrutia, Phys. Rev. Lett. 84, 2318 (2000); Phys. Rev. D 65, 103509
(2002)]. It is a remarkable possibility that the low-energy effects of Lorentz violation induced by quantum
gravity could be contained in the nonlocal terms of the VSR EW SM.