  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.
