Systematic classification of two loop d = 4 Dirac neutrino mass models and the Diracness-dark matter stability connection

Abstract

We provide a complete systematic classification of all two-loop realizations of the dimension four operator for Dirac neutrino masses. Our classification is multi-layered, starting first with a classification in terms of all possible distinct two-loop topologies. Then we discuss the possible diagrams for each topology. Model-diagrams originating from each diagram are then considered. The criterion for genuineness is also defined and discussed at length. Finally, as examples, we construct two explicit models which also serve to highlight the intimate connection between the Dirac nature of neutrinos and dark matter stability.

arXiv commentmatches published version

References in corpus (38)

• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Pathways to Naturally Small Neutrino Masses
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Search for Majorana neutrinos with the first two years of EXO-200 data
• From the trees to the forest: a review of radiative neutrino mass models
• Classification of Effective Neutrino Mass Operators
• Vector-like leptons: Higgs decays and collider phenomenology
• Systematic study of the d=5 Weinberg operator at one-loop order
• Dirac or Inverse Seesaw Neutrino Masses with $B-L$ Gauge Symmetry and $S_3$ Flavour Symmetry
• Massive Doublet Leptons
• Neutrino masses from higher than d=5 effective operators
• Pathways to Naturally Small Dirac Neutrino Masses
• Systematic classification of two-loop realizations of the Weinberg operator
• Gauge $B-L$ Model with Residual $Z_3$ Symmetry
• Two-loop Dirac neutrino mass and WIMP dark matter
• Dirac Neutrinos and Dark Matter Stability from Lepton Quarticity
• Seesaw roadmap to neutrino mass and dark matter
• $A_4$ Flavour Model for Dirac Neutrinos: Type I and Inverse Seesaw
• Neutrinoless Quadruple Beta Decay
• Linear Seesaw for Dirac Neutrinos with $A_4$ Flavour Symmetry
• Generalized Bottom-Tau unification, neutrino oscillations and dark matter: predictions from a lepton quarticity flavor approach
• The $B-L$ Scotogenic Models for Dirac Neutrino Masses
• Dirac or Inverse Seesaw Neutrino Masses from Gauged B - L Symmetry
• Dynamical seesaw mechanism for Dirac neutrinos
• Recipes and Ingredients for Neutrino Mass at Loop Level
• Radiative Left-Right Dirac Neutrino Mass
• Naturally Light Dirac Neutrino in Left-Right Symmetric Model
• CP Violation from Flavor Symmetry in a Lepton Quarticity Dark Matter Model
• Flavour-symmetric type-II Dirac neutrino seesaw mechanism
• Systematic Study of One-Loop Dirac Neutrino Masses and Viable Dark Matter Candidates
• Can one ever prove that neutrinos are Dirac particles?
• Simplest Radiative Dirac Neutrino Mass Models
• $Z^{\prime }$ Portal Dark Matter in $B-L$ Scotogenic Dirac Model
• High-dimensional neutrino masses
• Scotogenic $U(1{)}_{\chi }$ Dirac Neutrinos
• Loop neutrino masses from d=7 operator
• Proton decay and light sterile neutrinos
• Minimal Radiative Neutrino Masses

Cited by in corpus (20)

• Dark matter assisted lepton anomalous magnetic moments and neutrino masses
• Light Dirac neutrino portal dark matter with observable $\Delta N_{\mathrm{eff}}$
• Minimal Realizations of Dirac Neutrino Mass from Generic One-loop and Two-loop Topologies at $d=5$
• Observable Signatures of Scotogenic Dirac Model
• Minimal scoto-seesaw mechanism with spontaneous CP violation
• Low scale Dirac leptogenesis and dark matter with observable $\Delta N_{\mathrm{eff}}$
• Dark Matter and $(g-2{)}_{\mu ,e}$ in radiative Dirac neutrino mass models
• Scotogenic Dirac neutrino mass models embedded with leptoquarks: one pathway to address the flavor anomalies and the neutrino masses together
• Cutting the Scotogenic loop: Adding flavor to Dark Matter
• Collider and CMB complementarity of leptophilic dark matter with light Dirac neutrinos
• S.M.A.S.H.E.D.: Standard Model Axion Seesaw Higgs Inflation Extended for Dirac Neutrinos
• Absolute neutrino mass scale and dark matter stability from flavour symmetry
• Radiative type-I seesaw neutrino masses
• Sequentially loop supressed fermion masses from a unique discrete symmetry
• Decomposition of $d=9$ short-range $0\nu \beta \beta$ decay operators at one-loop level
• Quark condensate seesaw mechanism for neutrino mass
• CDF-II W boson mass in the Dirac Scotogenic model
• Dark matter as the source of neutrino mass: theory overview and experimental prospects
• Systematic study of one-loop realizations of $d=7$ long-range $0\nu \beta \beta$ decay operators
• Can Leptonic Mixing Matrix have a Wolfenstein Form?