TY - JOUR
T1 - Light neutrino masses from a non-Hermitian Yukawa theory
AU - Alexandre, J
AU - Bender, CM
AU - Millington, P
A2 - Grzadkowski, B
A2 - Kalinowski, J
A2 - Krawczyk, M
PY - 2017/7/27
Y1 - 2017/7/27
N2 - 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.
AB - 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.
UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=pure_starter&SrcAuth=WosAPI&KeyUT=WOS:000432422600047&DestLinkType=FullRecord&DestApp=WOS
U2 - 10.1088/1742-6596/873/1/012047
DO - 10.1088/1742-6596/873/1/012047
M3 - Conference article
SN - 1742-6588
VL - 873
JO - Journal of Physics: Conference Series (Print)
JF - Journal of Physics: Conference Series (Print)
M1 - 012047
ER -