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Light neutrino masses from a non-Hermitian Yukawa theory

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

Authors

Jean Alexandre

Carl M. Bender

Peter Millington



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.

Journal Article Type Article
Publication Date Jul 27, 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
APA6 Citation Alexandre, J., Bender, C. M., & Millington, P. (2017). Light neutrino masses from a non-Hermitian Yukawa theory. Journal of Physics: Conference Series, 873, https://doi.org/10.1088/1742-6596/873/1/012047
DOI https://doi.org/10.1088/1742-6596/873/1/012047
Publisher URL https://doi.org/10.1088/1742-6596/873/1/012047
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
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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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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