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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Format: | Article |
Language: | English |
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SciPost
2018-11-01
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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. |
first_indexed | 2024-12-21T10:50:01Z |
format | Article |
id | doaj.art-482cdee44fb04510873fdf2526f030bc |
institution | Directory Open Access Journal |
issn | 2542-4653 |
language | English |
last_indexed | 2024-12-21T10:50:01Z |
publishDate | 2018-11-01 |
publisher | SciPost |
record_format | Article |
series | SciPost Physics |
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 |