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Towards unification of lepton and quark mass matrices from double covering of modular $A_4$ flavor symmetry

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arxiv 2212.07245 v1 pith:RAVD64ZU submitted 2022-12-14 hep-ph

classification hep-ph
keywords casecommoncoveringdoubleflavorfoundhierarchylepton
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abstract

We study quark and lepton masses and mixings in a double covering of modular $A_4$ flavor symmetry in which we search for common solution of a single modulus $\tau$, applying chi-square numerical analysis under the as minimum framework as possible. We have found the common region of $\tau$ within $5\sigma$ interval that is narrow in case of normal hierarchy, but not found in case of inverted hierarchy.

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Cited by 1 Pith paper

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  1. Neutrino Mass Predictions with an AI-based Algorithm under $A_4$ Modular Symmetry

    hep-ph 2025-08 reject novelty 3.0 of 10

    An A4 modular linear-seesaw neutrino model is fitted with the ILA optimizer, and the fitted parameters agree with oscillation and cosmological bounds.

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