Light neutrino masses from a non-Hermitian Yukawa theory

J Alexandre, CM Bender, P Millington, B Grzadkowski (Editor), J Kalinowski (Editor), M Krawczyk (Editor)

Research output: Contribution to journalConference articlepeer-review


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.
Original languageEnglish
Article number012047
Number of pages10
JournalJournal of Physics: Conference Series (Print)
Publication statusPublished - 27 Jul 2017


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