Modular invariance faces precision neutrino data

Criado, Juan Carlos; Feruglio, Ferruccio

doi:10.21468/SciPostPhys.5.5.042

SciPost Physics

Modular invariance faces precision neutrino data

Juan Carlos Criado, Ferruccio Feruglio

SciPost Phys. 5, 042 (2018) · published 1 November 2018

doi: 10.21468/SciPostPhys.5.5.042
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Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.5.5.042
TI  - Modular invariance faces precision neutrino data
PY  - 2018/11/01
UR  - https://scipost.org/SciPostPhys.5.5.042
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 5
IS  - 5
SP  - 042
A1  - Criado, Juan Carlos
AU  - Feruglio, Ferruccio
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.5.5.042,
	title={{Modular invariance faces precision neutrino data}},
	author={Juan Carlos Criado and Ferruccio Feruglio},
	journal={SciPost Phys.},
	volume={5},
	pages={042},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.5.5.042},
	url={https://scipost.org/10.21468/SciPostPhys.5.5.042},
}

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Modular invariance Weinberg operator

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¹ Juan Carlos Criado,
² ³ Ferruccio Feruglio

Funders for the research work leading to this publication

Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía (through Organization: Consejería de Economía Innovación Ciencia y Empleo)
Horizon 2020 (through Organization: European Commission [EC])
Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])
Ministerio de Educación y Cultura - Spain (MEC) (through Organization: Ministerio de Educación y Cultura - España / Ministry of Education and Culture - Spain [MEC Spain])
Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])