Neutrino mass sum rules from modular <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="script">A</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math> symmetry
Salvador Centelles Chuliá, Ranjeet Kumar, Oleg Popov, Rahul Srivastava
Abstract
Modular symmetries offer a dynamic approach to understanding the flavor structure of leptonic mixing. Using the modular <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi mathvariant="script">A</a:mi><a:mn>4</a:mn></a:msub></a:math> flavor 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 <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msub><d:mo>∑</d:mo><d:mi>i</d:mi></d:msub><d:msub><d:mi>m</d:mi><d:mi>i</d:mi></d:msub><d:mo>≈</d:mo><d:mn>0.1</d:mn><d:mtext> </d:mtext><d:mtext> </d:mtext><d:mi>eV</d:mi></d:math> for both normal and inverted ordering, and thus can be fully probed by the current generation of cosmological probes in the upcoming years. Published by the American Physical Society 2024