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

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.

Comments: 9 pages, 2 figures, 3 tables. arXiv admin note: substantial text overlap with arXiv:2206.12629, arXiv:2202.10089