Light neutrino masses from a non-Hermitian Yukawa theory

5th Symposium on Prospects in the Physics of Discrete Symmetries

Alexandre, J.^1 ; Bender, C.M.^2 ; Millington, P.^3

Department of Physics, King's College London, London

WC2R 2LS, United Kingdom^1

Department of Physics, Washington University, St. Louis

MO

63130, United States^2

School of Physics and Astronomy, University of Nottingham, Nottingham

NG7 2RD, United Kingdom^3

关键词: Dirac neutrino;    Exceptional points;    Hermitians;    Mass matrices;    Neutrino mass;    Unitarity;    Yukawa couplings;    Yukawa theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/873/1/012047/pdf
DOI  :  10.1088/1742-6596/873/1/012047

来源: IOP

【 摘 要 】

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.