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Neutrino Mass Sum Rules from Modular $\mathcal{A}_4$ Symmetry
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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.
Forward citations
Cited by 6 Pith papers
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A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE
A non-holomorphic modular A4 linear seesaw model with six singlet fermions and one flavon reproduces observed neutrino mixing and predicts absolute mass and 0νββ ranges that DUNE and other experiments can test.
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Modulus stabilization of modular flavor models in Jordan frame supergravity
Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.
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Leptonic Flavor from Modular $A_4$: UV Mediators and SMEFT Realizations
This paper classifies lepton-coupled UV mediators under modular A4 symmetry and derives experimental lower bounds on their masses from lepton flavor observables.
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Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry
A minimal S3 modular inverse seesaw model fits oscillation data and predicts inverted ordering, a massless lightest neutrino, and m_ee around 38 to 58 meV.
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A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures
A non-holomorphic modular A4 seesaw model yields quasi-degenerate right-handed neutrinos, enabling resonant leptogenesis at ~10^6 GeV and a double-peaked gravitational-wave signature.
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Neutrino mass genesis in Scoto-Inverse Seesaw with Modular $A_4$
The modular A4 scotogenic inverse seesaw model can fit normal-ordering neutrino data with a TeV-scale fermion dark matter candidate, but the stated parameter choice m_etaR = m_etaI makes the radiative neutrino mass vanish.
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