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Neutrino mixing from finite modular groups

- Tatsuo C. Kobayashi, Kenta Tanaka, T. H. Tatsuishi
- Mathematics, PhysicsPhysical Review D
- 27 March 2018

We study the lepton flavor models, whose flavor symmetries are finite subgroups of the modular group such as $S_3$ and $A_4$. In our models, couplings are also nontrivial representations of these… Expand

Modular A4 invariance and neutrino mixing

- Tatsuo C. Kobayashi, Naoya Omoto, Y. Shimizu, K. Takagi, M. Tanimoto, T. H. Tatsuishi
- PhysicsJournal of High Energy Physics
- 8 August 2018

A bstractWe study the phenomenological implications of the modular symmetry Γ(3) ≃ A4 of lepton flavors facing recent experimental data of neutrino oscillations. The mass matrices of neutrinos and… Expand

Revisiting modular symmetry in magnetized torus and orbifold compactifications

- S. Kikuchi, Tatsuo C. Kobayashi, S. Takada, T. H. Tatsuishi, Hikaru Uchida
- Mathematics
- 26 May 2020

We study the modular symmetry in $T^2$ and orbifold comfactifications with magnetic fluxes. There are $|M|$ zero-modes on $T^2$ with the magnetic flux $M$. Their wavefunctions as well as massive… Expand

Finite modular subgroups for fermion mass matrices and baryon/lepton number violation

- Tatsuo C. Kobayashi, Y. Shimizu, K. Takagi, M. Tanimoto, T. H. Tatsuishi, Hikaru Uchida
- PhysicsPhysics Letters B
- 23 December 2018

Modular symmetry and non-Abelian discrete flavor symmetries in string compactification

- Tatsuo C. Kobayashi, Satoshi Nagamoto, S. Takada, Shio Tamba, T. H. Tatsuishi
- MathematicsPhysical Review D
- 18 April 2018

We study the modular symmetry in magnetized D-brane models on $T^2$. Non-Abelian flavor symmetry $D_4$ in the model with magnetic flux $M=2$ (in a certain unit) is a subgroup of the modular symmetry.… Expand

Modular $S_3$-invariant flavor model in SU(5) grand unified theory

- Tatsuo C. Kobayashi, Y. Shimizu, K. Takagi, M. Tanimoto, T. H. Tatsuishi
- PhysicsProgress of Theoretical and Experimental Physics
- 25 June 2019

We present a flavor model with $S_3$ modular invariance in the framework of SU(5) grand unified theory (GUT). The $S_3$ modular forms of weights $2$ and $4$ give the quark and lepton mass matrices… Expand

A4
lepton flavor model and modulus stabilization from
S4
modular symmetry

- Tatsuo C. Kobayashi, Y. Shimizu, K. Takagi, M. Tanimoto, T. H. Tatsuishi
- MathematicsPhysical Review D
- 9 September 2019

We study the modulus stabilization in an ${A}_{4}$ model whose ${A}_{4}$ flavor symmetry is originated from the ${S}_{4}$ modular symmetry. We can stabilize the modulus so that the ${A}_{4}$… Expand

CP
violation in modular invariant flavor models

- Tatsuo C. Kobayashi, Y. Shimizu, K. Takagi, M. Tanimoto, T. H. Tatsuishi, Hikaru Uchida
- PhysicsPhysical Review D
- 25 October 2019

We study the spontaneous CP violation through the stabilization of the modulus τ in modular invariant flavor models. The CP-invariant potential has the minimum only at Re[τ]=0 or 1/2(mod 1). From… Expand

New A4 lepton flavor model from S4 modular symmetry

- Tatsuo C. Kobayashi, Y. Shimizu, K. Takagi, M. Tanimoto, T. H. Tatsuishi
- PhysicsJournal of High Energy Physics
- 22 July 2019

Abstract
We study a flavor model with A4 symmetry which originates from S4 modular group. In S4 symmetry, Z2 subgroup can be anomalous, and then S4 can be violated to A4. Starting with a S4… Expand

Modular A4 invariance and leptogenesis

- T. Asaka, Yongtae Heo, T. H. Tatsuishi, Takahiro Yoshida
- PhysicsJournal of High Energy Physics
- 14 September 2019

We consider a model with three right-handed neutrinos in which Yukawa coupling constants and Majorana masses are obtained by requiring the modular $A_4$ symmetry. It has been shown that the model can… Expand

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