Exploring type-I seesaw under S ₃ modular symmetry

¹ Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
² Khon Kaen Particle Physics and Cosmology Theory Group (KKPaCT), Department of Physics, Faculty of Science, Khon Kaen University, 123 Mitraphap Rd, Khon Kaen 40002, Thailand
³ Department of Physics, Srinakharinwirot University, 114 Sukhumvit 23 Rd., Wattana, Bangkok 10110, Thailand

^* e-mail: miteshbehera1304@gmail.com
^** e-mail: pawin.i@chula.ac.th
^*** e-mail: chakpo@kku.ac.th
^**** e-mail: patipan@g.swu.ac.th

Published online: 20 November 2024

Abstract

This work’s novelty lies in using the simplest group i.e. Γ(2) ≃ S ₃ modular symmetry implemented on the canonical seesaw to explain neutrino phenomenology. Here, we construct and classify models based on the doublet and singlet representations of supermultiplets under S ₃ discrete symmetry along with their respective modular weights, allowing a mass matrix for the neutrino sector with minimal use of free parameters, namely models A, B, C, D. These modular symmetries become advantageous in avoiding the requirements of multiple flavon fields and the intricacies of vacuum alignments. In this way, we endeavor to clarify the effect and significance of modular S ₃ symmetry, which is considered in explaining the neutrino phenomenology viable with the current observations. Additionally, we also shed some light on the neutrinoless double beta decay.