Towards a realistic model of quarks and leptons, leptonic CP violation and neutrinoless $\beta \beta$-decay

Abstract

In order to explain the fermion masses and mixings naturally, we introduce a specific flavor symmetry and mass suppression pattern that constrain the flavor structure of the fermion Yukawa couplings. Our model describes why the hierarchy of neutrino masses is milder than the hierarchy of charged fermion masses in terms of successive powers of flavon fields. We investigate CP violation and neutrinoless double beta ($0\nu \beta \beta$) decay, and show how they can be predicted and constrained in our model by present and upcoming experimental data. Our model predicts that the atmospheric neutrino mixing angle ${\theta }_{23}$ should be within $\sim 1^{\circ }$ of $45^{\circ }$ for the normal neutrino mass ordering (NO), and between $\sim 4^{\circ }$ and $\sim 8^{\circ }$ degrees away from $45^{\circ }$ (in either direction) for the inverted neutrino mass ordering (IO). For both NO and IO, our model predicts that a $0\nu \beta \beta$ Majorana mass in the limited range $0.035\text{eV}<|m_{ee}|\lesssim 0.15$ eV, which can be tested in current experiments. Moreover, our model can successfully accommodate flavorless leptogenesis as the mechanism to generate the baryon asymmetry in the Universe, provided the neutrino mass ordering is normal, $|m_{ee}|\simeq 0.072\pm 0.012$ eV, and either ${\theta }_{23}\simeq 44^{\circ }$ and the Dirac CP-violating phase ${\delta }_{CP}\simeq 20^{\circ }$ or $60^{\circ }$, or ${\theta }_{23}\simeq 46^{\circ }$ and ${\delta }_{CP}\simeq 205^{\circ }$ or $245^{\circ }$.

41 pages and 13 figures, references added, version to appear in PRD; the model is changed slightly without corrupting the numerical results

References in corpus (9)

• Observation of electron-antineutrino disappearance at Daya Bay
• Results on neutrinoless double beta decay of 76Ge from GERDA Phase I
• Global fit to three neutrino mixing: critical look at present precision
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Rephasing Invariants of Quark and Lepton Mixing Matrices
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• The Seesaw Mechanism in Quark-Lepton Complementarity

Cited by in corpus (11)

• Flavored Peccei-Quinn symmetry
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Predictivity of Neutrino Mass Sum Rules
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• Compact model for Quarks and Leptons via flavored-Axions
• Neutrino Mass Sum Rules and Symmetries of the Mass Matrix
• Axion and Neutrino physics in a $U(1)$-enhanced supersymmetric model
• Sum Rules for Leptons
• QCD axion and Neutrino induced by Hidden flavor structure
• Neutrino Oscillations in the Three Flavor Paradigm