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

Fuente: arXiv
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Hauptverfasser: Chuliá, Salvador Centelles, Kumar, Ranjeet, Popov, Oleg, Srivastava, Rahul
Format: Preprint
Veröffentlicht: 2023
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author Chuliá, Salvador Centelles
Kumar, Ranjeet
Popov, Oleg
Srivastava, Rahul
author_facet Chuliá, Salvador Centelles
Kumar, Ranjeet
Popov, Oleg
Srivastava, Rahul
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2308_08981
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Neutrino Mass Sum Rules from Modular $\mathcal{A}_4$ Symmetry
Chuliá, Salvador Centelles
Kumar, Ranjeet
Popov, Oleg
Srivastava, Rahul
High Energy Physics - Phenomenology
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.
title Neutrino Mass Sum Rules from Modular $\mathcal{A}_4$ Symmetry
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2308.08981