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Modular S3 flavored Pati-Salam model with a two family seesaw mechanism

A. E. Cárcamo Hernández*

Ivo de Medeiros Varzielas†

S. F. King‡

Vishnudath K. N.§

  • *Contact author: antonio.carcamo@usm.cl
  • †Contact author: ivo.de@udo.edu
  • ‡Contact author: king@soton.ac.uk
  • §Contact author: vishnudath.kn@vit.ac.in
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Phys. Rev. D 112, 095042 – Published 24 November, 2025

DOI: https://doi.org/10.1103/6yjc-3wlc

Abstract

We present a unified model of quarks and leptons with modular S3 flavor symmetry, where the two lightest family masses are naturally suppressed via a Pati-Salam version of the type I seesaw mechanism, mediated through heavier vectorlike fermions. Majorana neutrino masses are further suppressed through a double seesaw mechanism. The viable parameter space has a preferred range of the modulus field with Im(τ)∼2, leading to successful fermion masses and mixing. The prediction for neutrinoless double beta decay is partly within the reach of the nEXO experiment. In particular, the Dirac CP violating neutrino oscillation phase is predicted to lie in the range δCPν∼270°−360°.

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Corrections

16 June, 2026

Correction: Reference [16] was missing source information and has been fixed.

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Phys. Rev. D 112, 095042– Published 24 November, 2025
  • Received 11 August 2025
  • Accepted 24 September 2025
  • Corrected 16 June 2026
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