The Invisible Axion and Neutrino Masses

Abstract

We show that in any invisible axion model due to the effects of effective non-renormalizable interactions related to an energy scale near the Peccei-Quinn, grand unification or even the Planck scale, active neutrinos necessarily acquire masses in the sub-eV range. Moreover, if sterile neutrinos are also included and if appropriate cyclic $Z_N$ symmetries are imposed, it is possible that some of these neutrinos are heavy while others are light.

arXiv commentAn example included and new references added. To appear in PRD

References in corpus (21)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Pathways to Naturally Small Neutrino Masses
• First results from the CERN Axion Solar Telescope (CAST)
• Pseudo-Dirac Neutrinos, a Challenge for Neutrino Telescopes
• Implications of neutrino data circa 2005
• CMB Signals of Neutrino Mass Generation
• A Mechanism for Ordinary-Sterile Neutrino Mixing
• Naturally light invisible axion in models with large local discrete symmetries
• Discrete symmetries, invisible axion and lepton number symmetry in an economic 3-3-1 model
• Natural R-Parity, μ-term, and Fermion Mass Hierarchy From Discrete Gauge Symmetries
• Stabilizing the invisible axion in 3-3-1 models
• Pseudo-Dirac Scenario for Neutrino Oscillations
• Late Time Neutrino Masses, the LSND Experiment and the Cosmic Microwave Background
• Naturally light invisible axion and local Z_{13} times Z_3 symmetries
• Making Neutrinos Massive with an Axion in Supersymmetry
• Sterile Neutrinos and Global Symmetries
• Constraints on Majoron Models, Neutrino Masses and Baryogenesis
• Constraints on singlet right-handed neutrinos coming from the $Z^0$-width
• Grand Unification and Proton Stability Near the Peccei-Quinn Scale
• Light Sterile Neutrinos in the Supersymmetric U(1)' Models and Axion Models

Cited by in corpus (15)

• The landscape of QCD axion models
• Standard Model-Axion-Seesaw-Higgs Portal Inflation. Five problems of particle physics and cosmology solved in one stroke
• The Quest for an Intermediate-Scale Accidental Axion and Further ALPs
• R-parity as a residual gauge symmetry : probing a theory of cosmological dark matter
• Novel sources of Flavor Changed Neutral Currents in the $331_{RHN}$ model
• Massive neutrinos and invisible axion minimally connected
• Maximum Entropy Inferences on the Axion Mass in Models with Axion-Neutrino Interaction
• Dirac neutrinos from Peccei-Quinn symmetry: a fresh look at the axion
• Large Lattice Fractional Fokker-Planck Equation
• Dirac neutrinos from Peccei-Quinn symmetry: two examples
• Reloading the Axion in a 3-3-1 setup
• The Gauge Bosons Masses in a SU(2)_TC x SU(3)_L x U(1)_X Extension of the Standard Model
• The Energy Criterion and Dynamical Symmetry Breaking in a $SU(3{)}_L\otimes U(1{)}_X$ Extension of the Standard Model
• From Peccei Quinn symmetry to mass hierarchy problem
• An SU(5)$\otimes$Z_{13} Grand Unification Model