Neutrino Mass Sum Rules from Modular ${\mathcal{A}}_4$ Symmetry

Abstract

Modular symmetries offer a dynamic approach to understanding the flavour structure of leptonic mixing. Using the modular ${\mathcal{A}}_4$ flavour symmetry integrated in a type-II seesaw, we propose a simple and minimalistic model that restricts the neutrino oscillation parameter space and, most importantly, introduces a sum rule in the physical neutrino masses. When combined with the mass squared differences observed in neutrino oscillations, this sum rule determines the absolute neutrino mass scale. This has significant implications for cosmology, neutrinoless double beta decay experiments and direct neutrino mass measurements. In particular, the model predicts ${\sum }_i{m}_i\approx 0.1$ eV for both normal and inverted ordering, and thus can be fully probed by the current generation of cosmological probes in the upcoming years.

arXiv comment22 pages, 4 figures. Updated to match the published version in PRD

References in corpus (48)

• Cosmology and Fundamental Physics with the Euclid Satellite
• 2020 Global reassessment of the neutrino oscillation picture
• Finite Modular Groups and Lepton Mixing
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Search for the Majorana Nature of Neutrinos in the Inverted Mass Ordering Region with KamLAND-Zen
• An Improved Measurement of Neutrino Oscillation Parameters by the NOvA Experiment
• Unification of Flavor, CP, and Modular Symmetries
• Sensitivity and discovery potential of the proposed nEXO experiment to neutrinoless double beta decay
• Modular $A_5$ Symmetry for Flavour Model Building
• Generalised CP Symmetry in Modular-Invariant Models of Flavour
• Modular $S_4$ Models of Lepton Masses and Mixing
• Neutrino Mass and Mixing with $A_5$ Modular Symmetry
• A String Theory of Flavor and CP
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Measurements of neutrino oscillation parameters from the T2K experiment using $3.6\times 10^{21}$ protons on target
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• A modular $A_4$ symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• Modular $S_3$ symmetric radiative seesaw model
• New $A_4$ lepton flavor model from $S_4$ modular symmetry
• A modular $A_4$ symmetric scotogenic model
• $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry
• Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau =i$
• Symmetrical Parametrizations of the Lepton Mixing Matrix
• Modular symmetry origin of texture zeros and quark lepton unification
• Type II seesaw models with modular $A_4$ symmetry
• Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry
• 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
• $CP$ violation in modular invariant flavor models
• The Minimal Seesaw Model with a Modular $S_4$ Symmetry
• Lepton flavor model with modular $A_4$ symmetry in large volume limit
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• A radiative seesaw model with three Higgs doublets in modular $A_4$ symmetry
• Modular Invariant $A_4$ Models for Quarks and Leptons with Generalized CP Symmetry
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• $SU(5)$ GUTs with $A_4$ modular symmetry
• Dirac neutrino mass models with a modular $S_4^{}$ symmetry
• The first string-derived eclectic flavor model with realistic phenomenology
• Fermion masses and mixing in modular A4 Symmetry
• Modular invariance and the QCD angle
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry
• Inverse seesaw in $A_5^{\prime }$ modular symmetry
• A simplest modular $S_3$ model for leptons
• Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry
• Type III seesaw under $A_4$ modular symmetry with leptogenesis
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Absolute neutrino mass scale and dark matter stability from flavour symmetry

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