Modular S4 models of lepton masses and mixing

Novichkov, P.P.; Penedo, J.T.; Petcov, S.T.; Titov, A.V.

Abstract

We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irreducible representations of the finite modular group Γ4 ≃ S4. We analyse the minimal scenario in which the only source of symmetry breaking is the vacuum expectation value of the modulus field. In this scenario there is no need to introduce flavon fields. Using the basis for the lowest weight modular forms found earlier, we build minimal phenomenologically viable models in which the neutrino masses are generated via the type I seesaw mechanism. While successfully accommodating charged lepton masses, neutrino mixing angles and mass-squared differences, these models predict the values of the lightest neutrino mass (i.e., the absolute neutrino mass scale), of the Dirac and Majorana CP violation (CPV) phases, as well as specific correlations between the values of the atmospheric neutrino mixing parameter sin2θ23 and i) the Dirac CPV phase δ, ii) the sum of the neutrino masses, and iii) the effective Majorana mass in neutrinoless double beta decay. We consider also the case of residual symmetries ℤ 3 ST and ℤ 2 S respectively in the charged lepton and neutrino sectors, corresponding to specific vacuum expectation values of the modulus.

Citation

Novichkov, P., Penedo, J., Petcov, S., & Titov, A. (2019). Modular S4 models of lepton masses and mixing. Journal of High Energy Physics, 2019(4), Article 5. https://doi.org/10.1007/jhep04%282019%29005

• Journal Article Type: Article
• Acceptance Date: Mar 11, 2019
• Online Publication Date: Apr 1, 2019
• Publication Date: Apr 30, 2019
• Deposit Date: Apr 12, 2019
• Publicly Available Date: Apr 12, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2019
• Issue: 4
• Article Number: 5
• DOI: https://doi.org/10.1007/jhep04%282019%29005
• Public URL: https://durham-repository.worktribe.com/output/1333132