Yukawa textures in modular symmetric vacuum of magnetized orbifold models. (26th February 2022)

• Record Type: Journal Article
• Authors: Kikuchi, Shota; Kobayashi, Tatsuo; Ogawa, Yuya; Uchida, Hikaru
• Is Part Of: Progress of theoretical and experimental physics. Volume 2022:Number 3(2022)
• Publication Date: 2022-02-26
• Subjects: B29 -- B41 -- B43 -- B55; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptac035
• Languages: English
• ISSNs: 2050-3911

Abstract

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.