Residual flavor symmetry breaking in the landscape of modular flavor models

Journal of High Energy Physics

Regular Article - Theoretical Physics

Hiroshi Okada¹  Hajime Otsuka²  Keiya Ishiguro³ 

[1] Asia Pacific Center for Theoretical Physics (APCTP), 37673, Pohang, Republic of Korea;Department of Physics, Pohang University of Science and Technology, 37673, Pohang, Republic of Korea;Department of Physics, Kyushu University, 744 Motooka, Nishi-ku, 819-0395, Fukuoka, Japan;Graduate University for Advanced Studies (Sokendai), 1-1 Oho, Tsukuba, 305-0801, Ibaraki, Japan;

关键词: Theories of Flavour;    Flux Compactifications;    Flavour Symmetries;    String Models;   

DOI  :  10.1007/JHEP09(2022)072

 received in 2022-06-15, accepted in 2022-08-17,  发布年份 2022

来源: Springer

【 摘 要 】

We study a symmetry breaking of residual flavor symmetries realized at fixed points of the moduli space. In the supersymmetric modular invariant theories, a small departure of the modulus from fixed points is required to realize fermion mass hierarchies and sizable CP-breaking effects. We investigate whether one can dynamically fix the moduli values in the vicinity of the fixed points in the context of Type IIB string theory. It is found that the string landscape prefers |δτ| ≃ 10−5 for the deviation of the complex structure modulus from all fixed points and the CP-breaking vacuum is statistically favored. To illustrate phenomenological implications of distributions of moduli values around fixed points, we analyze the lepton sector on a concrete A4 modular flavor model.

【 授权许可】

Unknown   
© The Author(s) 2022