SciPost Submission Page

Modular Invariance Faces Precision Neutrino Data

by Juan Carlos Criado, Ferruccio Feruglio

Submission summary

As Contributors: Juan Carlos Criado · Ferruccio Feruglio
Arxiv Link: https://arxiv.org/abs/1807.01125v3
Date accepted: 2018-10-23
Date submitted: 2018-09-26
Submitted by: Feruglio, Ferruccio
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Phenomenology

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.

Current status:

Ontology / Topics

See full Ontology or Topics database.

Modular invariance Weinberg operator

Author comments upon resubmission

Dear Editor and Referees,
we have modified our text following your suggestions. In particular

- In section 3, second paragraph, we have hopefully better clarified what results of reference [20] we
are using and the role played by the reactor angle in our analysis. This part has been completely rewritten
aiming to a more transparent presentation.
- In section 3, at the end, we have added a paragraph where we briefly mention the implications of modular
invariance for the quark sector, as requested.
- Finally we have corrected the grammatical errors/typos.

We hope that the present version fulfills your requirements.

Kind regards, Juan Carlos Criado and Ferruccio Feruglio

List of changes

- In section 3, second paragraph, we have hopefully better clarified what results of reference [20] we
are using and the role played by the reactor angle in our analysis. This part has been completely rewritten
aiming to a more transparent presentation.
- In section 3, at the end, we have added a paragraph where we briefly mention the implications of modular
invariance for the quark sector, as requested.
- Finally we have corrected the grammatical errors/typos.


Reports on this Submission

Anonymous Report 2 on 2018-9-28 Invited Report

Report

The authors answered satisfactory to my question. I am therefore pleased to propose the paper for publication in the current form.

  • validity: top
  • significance: top
  • originality: high
  • clarity: top
  • formatting: excellent
  • grammar: excellent

Report 1 by George Leontaris on 2018-9-27 Invited Report

  • Cite as: George Leontaris, Report on arXiv:1807.01125v3, delivered 2018-09-27, doi: 10.21468/SciPost.Report.595

Report

The present version of the paper clarifies all the points required in my report,
in particular those regarding theta_13 angle and quark sector.
In my opinion it is now suitable for publication.

  • validity: good
  • significance: good
  • originality: high
  • clarity: good
  • formatting: good
  • grammar: good

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