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arXiv · hep-lat/9909053

A new mechanism of mass protection for fermions

J. L. Alonso·Ph. Boucaud·J. M. Carmona·J. L. Cortes·J. Polonyi·A. J. van der Sijs
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Abstract

We present a way of protecting a Dirac fermion interacting with a scalar (Higgs) field from getting a mass from the vacuum. It is obtained through an implementation of translational symmetry when the theory is formulated with a momentum cutoff, which forbids the usual Yukawa term. We consider that this mechanism can help to understand the smallness of neutrino masses without a tuning of the Yukawa coupling. The prohibition of the Yukawa term for the neutrino forbids at the same time a gauge coupling between the right-handed electron and neutrino. We prove that this mechanism can be implemented on the lattice.

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J. L. Alonso, Ph. Boucaud, J. M. Carmona, J. L. Cortes, J. Polonyi, A. J. van der Sijs. 1999-09-08. A new mechanism of mass protection for fermions. https://doi.org/10.1016/s0920-5632(00)91766-3

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