Lepton masses and mixing from modular \(S_{4}\) symmetry

DOI10.1016/J.NUCLPHYSB.2018.12.016zbMATH Open1409.81173arXiv1806.11040OpenAlexW2811080623WikidataQ128711282 ScholiaQ128711282MaRDI QIDQ1731638

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Publication date: 13 March 2019

Published in: (Search for Journal in Brave)

Abstract: We study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group

G a m m a_{4} s i m e q S_{4}

and focus on the minimal scenario where the expectation value of the modulus is the only source of symmetry breaking, such that no flavons need to be introduced. After constructing a basis for the lowest weight modular forms, we build two minimal models, one of which successfully accommodates charged lepton masses and neutrino oscillation data, while predicting the values of the Dirac and Majorana CPV phases.

Full work available at URL: https://arxiv.org/abs/1806.11040

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