A new mechanism of mass protection for fermions

Details A new mechanism of mass protection for fermions A new mechanism of mass protection for fermions

1999-09-08

arxiv.org/abs/hep-lat/9909053v1

Nucl.Phys.Proc.Suppl.83:655-657,2000

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(Higgs,Yukawa,SUSY), 3 pages

Scientific paper

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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