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 Γ 5 ≃ A 5 . 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 A 5 . 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.

Modular A 5 symmetry for flavour model building / Novichkov, Pavel; Penedo, J. T.; Petcov, S. T.; Titov, A. V.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2019:4(2019). [10.1007/JHEP04(2019)174]

Modular A 5 symmetry for flavour model building

Pavel Novichkov;S. T. Petcov;
2019

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 Γ 5 ≃ A 5 . 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 A 5 . 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.
JOURNAL OF HIGH ENERGY PHYSICS
2019
4
174
http://link.springer.com/journal/13130
Novichkov, Pavel; Penedo, J. T.; Petcov, S. T.; Titov, A. V.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/98704
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