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.

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

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Cited by in corpus (5)

• Flavor Imprints on Novel Low Mass Dark Matter
• Minimal A4 Type-II Seesaw Realization of Testable Neutrino Mass Sum Rules
• Natural solution of SUSY $\mu$ problem from modulus stabilization in modular flavor model
• Fate of ${\theta }_{12}$ under $\mu -\tau$ Reflection Symmetry in Light of the First JUNO Results
• Neutrino nonstandard interactions: Confronting COHERENT and LHC data