Yukawa textures in modular symmetric vacuum of magnetized orbifold models. (26th February 2022) - Kikuchi, Shota
Abstract: We study quark mass matrices derived from magnetized $T^2/\mathbb {Z}_2$ orbifold models. Yukawa matrices at three modular fixed points, τ = i, e 2π i /3, and i ∞, are invariant under S -, ST -, and T -transformations. We study these invariances on the $T^2/\mathbb {Z}_2$ twisted orbifold. We find that Yukawa matrices have a kind of texture structure, although those at τ = i ∞ are not realistic. We classify the Yukawa textures at τ = i and e 2π i /3 . Moreover we investigate the conditions such that the quark mass matrix constructed by Yukawa textures becomes approximately a rank-one matrix, which is favorable to lead to hierarchical masses between the third generation and the others. It is found that realistic quark mass matrices can be obtained around the S -invariant and ST -invariant vacua. As an illustrative example, we show the realization of the quark mass ratios and mixing based on Fritzch and Fritzch–Xing mass matrices.