Two A5 modular symmetries for Golden Ratio 2 mixing

Abstract

We present a model of leptonic mixing based on two $A_5$ modular symmetries using the Weinberg operator. The two modular symmetries are broken to the respective diagonal $A_5$ subgroup. At the effective level, the model behaves as a model with a single $A_5$ modular flavour symmetry, but with two moduli. Using both as stabilisers, different residual symmetries are preserved, leading to golden ratio mixing that is perturbed by a rotation.

20 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2107.04042

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• Modular flavour symmetry and orbifolds
• $A_5$ symmetry and deviation from Golden Ratio mixing with charged lepton flavor violation
• Natural solution of SUSY $\mu$ problem from modulus stabilization in modular flavor model