Jean Alexandre
Light neutrino masses from a non-Hermitian Yukawa theory
Alexandre, Jean; Bender, Carl M.; Millington, Peter
Authors
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.
Citation
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. https://doi.org/10.1088/1742-6596/873/1/012047
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 | Mar 29, 2024 |
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 |
DOI | https://doi.org/10.1088/1742-6596/873/1/012047 |
Public URL | https://nottingham-repository.worktribe.com/output/874139 |
Publisher URL | https://doi.org/10.1088/1742-6596/873/1/012047 |
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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