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Modular invariance faces precision neutrino data

1 , 2 , 3

SciPost Physics

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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.

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          Two-loop renormalization group equations in a general quantum field theory (II). Yukawa couplings

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            Author and article information

            Affiliations
            [1 ]University of Granada
            [2 ]National Institute for Nuclear Physics
            [3 ]University of Padua
            Journal
            SciPost Physics
            SciPost Phys.
            Stichting SciPost
            2018
            November 01 2018
            : 5
            : 5
            10.21468/SciPostPhys.5.5.042
            © 2018

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            Physics

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