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arXiv · 1703.05251

Light neutrino masses from a non-Hermitian Yukawa theory

Jean Alexandre·Carl M. Bender·Peter Millington
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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.

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Jean Alexandre, Carl M. Bender, Peter Millington. 2017-03-15. Light neutrino masses from a non-Hermitian Yukawa theory. https://doi.org/10.1088/1742-6596%2F873%2F1%2F012047

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