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Modular A5 symmetry for flavour model building

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

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Authors

P.P. Novichkov

J.T. Penedo

S.T. Petcov

A.V. Titov



Abstract

In the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular group Γ5 ≃ A5. We explicitly construct a basis for the 11 modular forms of weight 2 and level 5. We show how these forms arrange themselves into two triplets and a quintet of A5. We also present multiplets of modular forms of higher weight. Finally, we provide an example of application of our results, constructing two models of neutrino masses and mixing based on the supersymmetric Weinberg operator.

Citation

Novichkov, P., Penedo, J., Petcov, S., & Titov, A. (2019). Modular A5 symmetry for flavour model building. Journal of High Energy Physics, 2019(4), Article 174. https://doi.org/10.1007/jhep04%282019%29174

Journal Article Type Article
Acceptance Date Apr 26, 2019
Online Publication Date Apr 30, 2019
Publication Date Apr 30, 2019
Deposit Date May 22, 2019
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 4
Article Number 174
DOI https://doi.org/10.1007/jhep04%282019%29174

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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