Yoshiyuki Tatsuta

Classification of three-generation models on magnetized orbifolds

Abstract We classify the combinations of parameters which lead three generations of quarks and leptons in the framework of magnetized twisted orbifolds on T 2 / Z 2 , T 2 / Z 3 , T 2 / Z 4 and T 2 / Z 6 with allowing nonzero discretized Wilson line phases and Scherk–Schwarz phases. We also analyze two actual examples with nonzero phases leading to one-pair Higgs and five-pair Higgses and discuss the difference from the results without nonzero phases studied previously. (Note: this article is registered under preprint number: arXiv:1501.02787 [hep-ph] .)

Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds

We study the structure of Yukawa matrices derived from the supersymmetric Yang-Mills theory on magnetized orbifolds, which can realize the observed quark and charged lepton mass ratios as well as the Cabibbo-Kobayashi-Maswaka (CKM) mixing angles, even with a small number of tunable parameters and without any critical fine-tuning. As a reason behind this, we find that the obtained Yukawa matrices possess a Froggatt-Nielsen-like structure with Gaussian hierarchies, which provides a suitable texture for them favored by the experimental data.

Flavor landscape of 10D SYM theory with magnetized extra dimensions

A bstractWe study the flavor landscape of the visible sector of particle physics models based on a ten-dimensional super Yang-Mills theory compactified on magnetized tori preserving four-dimensional

Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions

\mathcal{N}

CP-violating phase on magnetized toroidal orbifolds

= 1 supersymmetry. Recently, we constructed a semi-realistic model which contains the minimal supersymmetric standard model (MSSM) using an ansatz of magnetic fluxes and orbifolding projections. However, we can consider more various configurations of magnetic fluxes and orbifolding projections preserving fourdimensional

Comprehensive analysis of Yukawa hierarchies on

\mathcal{N}

T^2/Z_N

= 1 supersymmetry. We research systematically such possibilities for leading to MSSM-like models and study their phenomenological aspects.

with magnetic fluxes

A bstractWe study discrete flavor symmetries of the models based on a ten-dimensional supersymmetric Yang-Mills (10D SYM) theory compactified on magnetized tori. We assume non-vanishing non-factorizable fluxes as well as the orbifold projections. These setups allow model-building with more various flavor structures. Indeed, we show that there exist various classes of non-Abelian discrete flavor symmetries. In particular, we find that S3 flavor symmetries can be realized in the framework of the magnetized 10D SYM theory for the first time.

D-brane instanton induced μ terms and their hierarchical structure

A bstractWe study the CP-violating phase of the quark sector on T2/ZN (N = 2, 3, 4, 6) with non-vanishing magnetic fluxes, where properties of possible origins of the CP violation are investigated minutely. In this system, a non-vanishing value is mandatory in the real part of the complex modulus parameter τ of the two-dimensional torus in order to explain the CP violation in the quark sector. On T2 without orbifolding, underlying discrete flavor symmetries severely restrict the form of Yukawa couplings and it is very difficult to reproduce the observed pattern in the quark sector including the CP-violating phase δCP. When multiple Higgs doublets emerge on T2/Z2, the mass matrices of the zero-mode fermions can be written in the Gaussian textures by choosing appropriate configurations of vacuum expectation values of the Higgs fields. When such Gaussian textures of mass matrices are realized, we show that all of the quark profiles, which are mass hierarchies among the quarks, quark mixing angles, and δCP can be simultaneously realized.

Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms

Based on the result of classification in our previous work, we exhaustively investigate Yukawa sector of