Modular invariance faces precision neutrino data

We analyze a modular invariant model of lepton masses, with neutrino masses originating either from the Weinberg operator or from the seesaw. The constraint provided by modular invariance is so strong that neutrino mass ratios, lepton mixing angles and Dirac/Majorana phases do not depend on any...

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Main Author: Juan Carlos Criado, Ferruccio Feruglio
Format: Article
Language:English
Published: SciPost 2018-11-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.5.5.042
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author Juan Carlos Criado, Ferruccio Feruglio
author_facet Juan Carlos Criado, Ferruccio Feruglio
author_sort Juan Carlos Criado, Ferruccio Feruglio
collection DOAJ
description We analyze a modular invariant model of lepton masses, with neutrino masses originating either from the Weinberg operator or from the seesaw. The constraint provided by modular invariance is so strong that neutrino mass ratios, lepton mixing angles and Dirac/Majorana phases do not depend on any Lagrangian parameter. They only depend on the vacuum of the theory, parametrized in terms of a complex modulus and a real field. Thus eight measurable quantities are described by the three vacuum parameters, whose optimization provides an excellent fit to data for the Weinberg operator and a good fit for the seesaw case. Neutrino masses from the Weinberg operator (seesaw) have inverted (normal) ordering. Several sources of potential corrections, such as higher dimensional operators, renormalization group evolution and supersymmetry breaking effects, are carefully discussed and shown not to affect the predictions under reasonable conditions.
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spelling doaj.art-482cdee44fb04510873fdf2526f030bc2022-12-21T19:06:41ZengSciPostSciPost Physics2542-46532018-11-015504210.21468/SciPostPhys.5.5.042Modular invariance faces precision neutrino dataJuan Carlos Criado, Ferruccio FeruglioWe analyze a modular invariant model of lepton masses, with neutrino masses originating either from the Weinberg operator or from the seesaw. The constraint provided by modular invariance is so strong that neutrino mass ratios, lepton mixing angles and Dirac/Majorana phases do not depend on any Lagrangian parameter. They only depend on the vacuum of the theory, parametrized in terms of a complex modulus and a real field. Thus eight measurable quantities are described by the three vacuum parameters, whose optimization provides an excellent fit to data for the Weinberg operator and a good fit for the seesaw case. Neutrino masses from the Weinberg operator (seesaw) have inverted (normal) ordering. Several sources of potential corrections, such as higher dimensional operators, renormalization group evolution and supersymmetry breaking effects, are carefully discussed and shown not to affect the predictions under reasonable conditions.https://scipost.org/SciPostPhys.5.5.042
spellingShingle Juan Carlos Criado, Ferruccio Feruglio
Modular invariance faces precision neutrino data
SciPost Physics
title Modular invariance faces precision neutrino data
title_full Modular invariance faces precision neutrino data
title_fullStr Modular invariance faces precision neutrino data
title_full_unstemmed Modular invariance faces precision neutrino data
title_short Modular invariance faces precision neutrino data
title_sort modular invariance faces precision neutrino data
url https://scipost.org/SciPostPhys.5.5.042
work_keys_str_mv AT juancarloscriadoferruccioferuglio modularinvariancefacesprecisionneutrinodata