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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.

### Most cited references61

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### The conformal field theory of orbifolds

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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
[2 ]National Institute for Nuclear Physics
###### Journal
SciPost Physics
SciPost Phys.
Stichting SciPost
2018
November 01 2018
: 5
: 5
10.21468/SciPostPhys.5.5.042

###### Product
Self URI (journal-page): https://scipost.org/

Physics