Generalised CP symmetry in modular-invariant models of flavour

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

Abstract

The formalism of combined finite modular and generalised CP (gCP) sym-metries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus τ and on the matter fields are derived. The implications of gCP symmetry in theories of flavour based on modular invariance described by finite modular groups are illustrated with the example of a modular S4 model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus τ being the only source of CP violation.

Citation

Novichkov, P., Penedo, J., Petcov, S., & Titov, A. (2019). Generalised CP symmetry in modular-invariant models of flavour. Journal of High Energy Physics, 2019(7), Article 65. https://doi.org/10.1007/jhep07%282019%29165

• Journal Article Type: Article
• Acceptance Date: Jul 9, 2019
• Online Publication Date: Aug 29, 2019
• Publication Date: Aug 31, 2019
• Deposit Date: Aug 8, 2019
• Publicly Available Date: Aug 8, 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: 7
• Article Number: 65
• DOI: https://doi.org/10.1007/jhep07%282019%29165
• Public URL: https://durham-repository.worktribe.com/output/1296159