The role of residual symmetries in dark matter stability and the neutrino nature

Abstract

We consider the class of models where Dirac neutrino masses at one loop and the dark matter stability can be obtained using only the global $U(1{)}_{B-L}$ symmetry already present in Standard Model. We discuss how the residual ${\mathcal{Z}}_n$ subgroup, left unbroken after the breaking of $U(1{)}_{B-L}$, dictates the neutrino nature, namely if they are Dirac or Majorana particles, as well as determines the stability of the dark matter candidate in such models. In particular, we show that without the correct breaking of $U(1{)}_{B-L}$ to an appropriate residual ${\mathcal{Z}}_n$ symmetry, the Dirac nature of neutrinos and/or dark matter stability might be lost. For completeness we also provide some examples where the dark matter stability is accidental or lost completely. Finally, we discuss one example model where the Dirac neutrinos with naturally small one loop masses as well as dark matter stability, are both protected by the same residual ${\mathcal{Z}}_6$ subgroup, without need for adding any new explicit or accidental symmetries beyond the Standard Model symmetries.

23 pages, 9 figures, 2 tables, Contribution to LHEP Special Issue 2019 on Neutrino and Dark Matter

References in corpus (11)

• Pathways to Naturally Small Dirac Neutrino Masses
• Gauging U(1) symmetries and the number of right-handed neutrinos
• Two-loop Dirac neutrino mass and WIMP dark matter
• Derivation of Dark Matter Parity from Lepton Parity
• Generalized Bottom-Tau unification, neutrino oscillations and dark matter: predictions from a lepton quarticity flavor approach
• Radiative Left-Right Dirac Neutrino Mass
• Simplest Radiative Dirac Neutrino Mass Models
• Scotogenic $U(1{)}_{\chi }$ Dirac Neutrinos
• Testing a lepton quarticity flavor theory of neutrino oscillations with the DUNE experiment
• Two loop Induced Dirac Neutrino Model and Dark Matters with Global $U(1{)}^{\prime }$ Symmetry
• Dirac neutrinos, dark matter stability and flavour predictions from Lepton Quarticity

Cited by in corpus (4)

• Anomaly-free Abelian gauge symmetries with Dirac scotogenic models
• Dark Matter and $(g-2{)}_{\mu ,e}$ in radiative Dirac neutrino mass models
• Dirac neutrinos from Peccei-Quinn symmetry: two examples
• Dark matter for Majorana neutrinos in a ${\mathbb{Z}}_4$ symmetry