Effective alignments as building blocks of flavor models

de Medeiros Varzielas, Ivo; Neder, Thomas; Zhou, Ye-Ling

Abstract

Flavor models typically rely on flavons—scalars that break the family symmetry by acquiring vacuum expectation values in specific directions. We develop the idea of effective alignments, i.e., cases where the contractions of multiple flavons give rise to directions that are hard or impossible to obtain directly by breaking the family symmetry. Focusing on the example where the symmetry is S 4 , we list the effective alignments that can be obtained from flavons vacuum expectation values that arise naturally from S 4 . Using those effective alignments as building blocks, it is possible to construct flavor models, for example by using the effective alignments in constrained sequential dominance models. We illustrate how to obtain several of the mixing schemes in the literature, and explicitly construct renormalizable models for three viable cases, two of which lead to trimaximal mixing scenarios.

Citation

de Medeiros Varzielas, I., Neder, T., & Zhou, Y.-L. (2018). Effective alignments as building blocks of flavor models. Physical Review D, 97(11), Article 115033. https://doi.org/10.1103/physrevd.97.115033

• Journal Article Type: Article
• Online Publication Date: Jun 20, 2018
• Publication Date: Jun 20, 2018
• Deposit Date: Jul 5, 2018
• Publicly Available Date: Jul 5, 2018
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 97
• Issue: 11
• Article Number: 115033
• DOI: https://doi.org/10.1103/physrevd.97.115033
• Public URL: https://durham-repository.worktribe.com/output/1322405