Light neutrino masses from a non-Hermitian Yukawa theory
Abstract
Working within the context of PT-symmetric quantum mechanics, we begin by describing a non-Hermitian extension of QED that is both Lorentz invariant and consistent with unitarity. We show that the non-Hermitian Dirac mass matrix of this theory exhibits an exceptional point, corresponding to an effectively massless theory whose conserved current is either right- or left-chiral dominated. With this inspiration, we are able to construct a non-Hermitian model of light Dirac neutrino masses from Hermitian and anti-Hermitian Yukawa couplings that are both of order unity. We finish by highlighting potential phenomenological implications of this model.
Keywords
Cite
@article{arxiv.1703.05251,
title = {Light neutrino masses from a non-Hermitian Yukawa theory},
author = {Jean Alexandre and Carl M. Bender and Peter Millington},
journal= {arXiv preprint arXiv:1703.05251},
year = {2017}
}
Comments
10 pages, 1 figure. Prepared for the proceedings of DISCRETE2016: the Fifth Symposium on Prospects in the Physics of Discrete Symmetries, 28 November-3 December 2016, University of Warsaw, Poland, to appear in the Journal of Physics: Conference Series (JPCS). Presented by P. Millington