Two A4 modular symmetries for Tri-Maximal 2 mixing

We construct a lepton flavour model based on two A4 modular symmetries. The two A4 are broken by a bi-triplet field to the diagonal A4 subgroup, resulting in an effective modular A4 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, flavonless at the effective scale, below the breaking to the single A4. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license

Automated summary

We present a lepton flavor model based on two A4 modular symmetries, where a bi-triplet field breaks the two A4 symmetries to the diagonal A4 subgroup and results in an effective modular A4 flavor symmetry with two moduli. The moduli are employed as stabilizers, which preserve distinct residual symmetries and enable us to obtain Tri-Maximal 2 (TM2) mixing with minimal field content below the breaking scale to the single A4.