Light neutrino masses from a non-Hermitian Yukawa theory

Abstract

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.

10 pages, 1 figure. Prepared for the proceedings of DISCRETE2016: the Fifth Symposium on Prospects in the Physics of Discrete Symmetries, 28 November-3 December 2016, University of Warsaw, Poland, to appear in the Journal of Physics: Conference Series (JPCS). Presented by P. Millington

References in corpus (7)

• Planck 2015 results. XIII. Cosmological parameters
• Leptogenesis
• Neutrinos and Collider Physics
• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• Non-Hermitian neutrino oscillations in matter with PT symmetric Hamiltonians
• Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians
• Quasi-relativistic fermions and dynamical flavour oscillations

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• PT-Symmetric Non-Hermitian Quantum Field Theories with Supersymmetry
• Dynamical Majorana Neutrino Masses and Axions II: Inclusion of Axial Background and Anomaly Terms
• Transition Probabilities in the Two-Level Quantum System with PT-Symmetric Non-Hermitian Hamiltonians
• Spontaneous Non-Hermiticity in Nambu-Jona-Lasinio model
• Discrete spacetime symmetries, second quantization, and inner products in a non-Hermitian Dirac fermionic field theory
• Consistent description of field theories with non-Hermitian mass terms
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Non-Hermitian Yukawa interactions of fermions with axions: potential microscopic origin and dynamical mass generation
• Scattering in pseudo-Hermitian quantum field theory and causality violation
• Hermitian - non-Hermitian interfaces in quantum theory
• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
• Oscillation probabilities for a PT-symmetric non-Hermitian two-state system