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Light neutrino masses from a non-Hermitian Yukawa theory

Alexandre, Jean; Bender, Carl M.; Millington, Peter


Jean Alexandre

Carl M. Bender

Peter Millington


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.


Alexandre, J., Bender, C. M., & Millington, P. (2017). Light neutrino masses from a non-Hermitian Yukawa theory. Journal of Physics: Conference Series, 873, Article 012047.

Journal Article Type Article
Conference Name Fifth Symposium on Prospects in the Physics of Discrete Symmetries
Acceptance Date Jul 3, 2017
Publication Date Jul 27, 2017
Deposit Date Nov 2, 2017
Publicly Available Date Nov 2, 2017
Journal Journal of Physics: Conference Series
Print ISSN 1742-6588
Electronic ISSN 1742-6596
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 873
Article Number 012047
Public URL
Publisher URL
Additional Information Conference paper presented at DISCRETE 2016: Fifth Symposium on Prospects in the Physics of Discrete
Symmetries 28 November - 3 December, 2016


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