Dynamical torsion as the microscopic origin of the neutrino seesaw

Abstract

It is assumed, that there are two scales in quantum gravity. Metric fluctuates at the scales of the order of the Plank mass. The second scale $M_T$ is related to the fluctuations of torsion. We suppose, that it may be as low as $M_T \sim 1$ TeV. Due to the non - minimal coupling to torsion the attractive interaction between the fermions appears. The non - minimal coupling admits the appearance of different coupling constants for different fermions. This opens the possibility that the interaction with torsion gives the Majorana masses for the right - handed neutrinos (that are assumed to be of the order of $M_T$). We suppose, that the Dirac masses for the neutrino are all close to the mass of electron. This gives the light neutrino masses $\le 0.25$ eV. In addition, the model predicts the appearance of Majorons that may contribute to the dark matter as well as to the invisible decay of the $125$ GeV Higgs boson.