Lepton masses and mixing from modular S4 symmetry

We study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group Γ4≃S4 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...

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Main Authors: J.T. Penedo, S.T. Petcov
Format: Article
Language:English
Published: Elsevier 2019-02-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318303560
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author J.T. Penedo
S.T. Petcov
author_facet J.T. Penedo
S.T. Petcov
author_sort J.T. Penedo
collection DOAJ
description We study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group Γ4≃S4 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.
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spelling doaj.art-c4a8540751c74e08817bfeb08e70f48d2022-12-22T02:36:27ZengElsevierNuclear Physics B0550-32132019-02-01939292307Lepton masses and mixing from modular S4 symmetryJ.T. Penedo0S.T. Petcov1SISSA/INFN, Via Bonomea 265, 34136 Trieste, Italy; Corresponding author.SISSA/INFN, Via Bonomea 265, 34136 Trieste, Italy; Kavli IPMU (WPI), University of Tokyo, 5-1-5 Kashiwanoha, 277-8583 Kashiwa, JapanWe study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group Γ4≃S4 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.http://www.sciencedirect.com/science/article/pii/S0550321318303560
spellingShingle J.T. Penedo
S.T. Petcov
Lepton masses and mixing from modular S4 symmetry
Nuclear Physics B
title Lepton masses and mixing from modular S4 symmetry
title_full Lepton masses and mixing from modular S4 symmetry
title_fullStr Lepton masses and mixing from modular S4 symmetry
title_full_unstemmed Lepton masses and mixing from modular S4 symmetry
title_short Lepton masses and mixing from modular S4 symmetry
title_sort lepton masses and mixing from modular s4 symmetry
url http://www.sciencedirect.com/science/article/pii/S0550321318303560
work_keys_str_mv AT jtpenedo leptonmassesandmixingfrommodulars4symmetry
AT stpetcov leptonmassesandmixingfrommodulars4symmetry