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arxiv: 1310.8034 · v4 · pith:3V53LZHWnew · submitted 2013-10-30 · ✦ hep-ph

Dynamical torsion as the microscopic origin of the neutrino seesaw

classification ✦ hep-ph
keywords torsioncouplingmassesneutrinoappearanceassumeddifferentfermions
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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.

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