Light neutrino masses from a non-Hermitian Yukawa theory

Alexandre, Jean and Bender, Carl M. and Millington, Peter (2017) Light neutrino masses from a non-Hermitian Yukawa theory. Journal of Physics: Conference Series, 873 . 012047/1-012047/10. ISSN 1742-6596

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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.

Item Type: Article
Additional Information: Conference paper presented at DISCRETE 2016: Fifth Symposium on Prospects in the Physics of Discrete Symmetries 28 November - 3 December, 2016
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: 10.1088/1742-6596/873/1/012047
Depositing User: Millington, Peter
Date Deposited: 02 Nov 2017 13:39
Last Modified: 03 Nov 2017 11:20
URI: http://eprints.nottingham.ac.uk/id/eprint/47786

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