Light neutrino masses from a non-Hermitian Yukawa theory

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

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: 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
• 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