Two A4 modular symmetries for Tri-Maximal 2 mixing

Abstract

We construct lepton flavour models based on two $A_4$ modular symmetries. The two $A_4$ are broken by a bi-triplet field to the diagonal $A_4$ subgroup, resulting in an effective modular $A_4$ flavour symmetry with two moduli. We employ these moduli as stabilisers, that preserve distinct residual symmetries, enabling us to obtain Tri-Maximal 2 (TM2) mixing with a minimal field content (without flavons).

17 pages, 2 figures. v2: version accepted in NPB

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• Discrete symmetries and Efficient Counting of Operators
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments