Littlest Modular Seesaw

Abstract

We present the first complete model of the Littlest Modular Seesaw, based on two right-handed neutrinos, within the framework of multiple modular symmetries, justifying the use of multiple moduli fields which take their values at 3 specific stabilizers of ${\Gamma }_4\simeq S_4$, including a new phenomenological possibility. Using a semi-analytical approach, we perform a ${\chi }^2$ analysis of each case and show that good agreement with neutrino oscillation data is obtained, including predictive relations between the leptonic mixing angles and the ratio of light neutrino masses, which non-trivially agree with the experimental values. It is noteworthy that in this very predictive setup, the models fit the global fits of the experimental data remarkably well, both with and without the Super-Kamiokande atmospheric data, for both choices of stabilizers. By extending the model to include a weighton and the double cover group ${\Gamma }_4^{\prime }\simeq S_4^{\prime }$, we are able to also account for the hierarchy of the charged leptons using modular symmetries, without altering the neutrino predictions.

arXiv comment19 pages, 2 Figures. v2: minor improvements to the presentation

References in corpus (32)

• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Cosmological Sign of Neutrino CP Violation
• Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
• Flavor structures of charged fermions and massive neutrinos
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• Unified Models of Neutrinos, Flavour and CP Violation
• Atmospheric and Solar Neutrinos with a Heavy Singlet
• Modular $S_4$ Models of Lepton Masses and Mixing
• Atmospheric and Solar Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Modular $S_4$ and $A_4$ Symmetries and Their Fixed Points: New Predictive Examples of Lepton Mixing
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Double Cover of Modular $S_4$ for Flavour Model Building
• A note on the predictions of models with modular flavor symmetries
• Trimaximal TM${}_1$ mixing with two modular $S_4$ groups
• Multiple modular symmetries as the origin of flavour
• Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau =i$
• Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group
• Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries
• Modular invariant flavor model of ${\mathrm{A}}_4$ and hierarchical structures at nearby fixed points
• Minimal see-saw model predicting best fit lepton mixing angles
• Littlest Seesaw
• Twin Modular $S_4$ with $SU(5)$ GUT
• A model of quark and lepton mixing
• Symmetries and stabilisers in modular invariant flavour models
• Precision neutrino experiments vs the Littlest Seesaw
• Fitting high-energy Littlest Seesaw parameters using low-energy neutrino data and leptogenesis
• Two A4 modular symmetries for Tri-Maximal 2 mixing
• A New Littlest Seesaw Model
• Two A5 modular symmetries for Golden Ratio 2 mixing
• Modular Flavour Symmetries and Modulus Stabilisation

Cited by in corpus (6)

• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• A simplest modular $S_3$ model for leptons
• Minimal seesaw and leptogenesis with the smallest modular finite group
• Modular flavour symmetry and orbifolds
• Neutrino mixing sum rules and the Littlest Seesaw
• Orbifold Modular GUT of Flavour