Light neutrino masses from a non-Hermitian Yukawa theory
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 effec...
| Main Authors: | , , |
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| Format: | Article |
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IOP Publishing
2017
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| Online Access: | https://eprints.nottingham.ac.uk/47786/ |
| _version_ | 1848797629920575488 |
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| author | Alexandre, Jean Bender, Carl M. Millington, Peter |
| author_facet | Alexandre, Jean Bender, Carl M. Millington, Peter |
| author_sort | Alexandre, Jean |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:06:55Z |
| format | Article |
| id | nottingham-47786 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:06:55Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-477862020-05-04T18:56:58Z https://eprints.nottingham.ac.uk/47786/ Light neutrino masses from a non-Hermitian Yukawa theory Alexandre, Jean Bender, Carl M. Millington, Peter 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. IOP Publishing 2017-07-27 Article PeerReviewed Alexandre, Jean, 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 https://doi.org/10.1088/1742-6596/873/1/012047 doi:10.1088/1742-6596/873/1/012047 doi:10.1088/1742-6596/873/1/012047 |
| spellingShingle | Alexandre, Jean Bender, Carl M. Millington, Peter Light neutrino masses from a non-Hermitian Yukawa theory |
| title | Light neutrino masses from a non-Hermitian Yukawa theory |
| title_full | Light neutrino masses from a non-Hermitian Yukawa theory |
| title_fullStr | Light neutrino masses from a non-Hermitian Yukawa theory |
| title_full_unstemmed | Light neutrino masses from a non-Hermitian Yukawa theory |
| title_short | Light neutrino masses from a non-Hermitian Yukawa theory |
| title_sort | light neutrino masses from a non-hermitian yukawa theory |
| url | https://eprints.nottingham.ac.uk/47786/ https://eprints.nottingham.ac.uk/47786/ https://eprints.nottingham.ac.uk/47786/ |