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We study the phenomenology of a unified supersymmetric theory with a flavor symmetry $\Delta(27)$. The model accommodates quark and lepton masses, mixing angles and CP phases. In this model, the Dirac and Majorana mass matrices have a…

High Energy Physics - Phenomenology · Physics 2018-09-26 Ivo de Medeiros Varzielas , M. L. López-Ibáñez , Aurora Melis , Oscar Vives

We study the flavor structure of the lepton and baryon number--conserving dimension-6 operators in the Standard Model effective field theory (SMEFT). Building on the work of [1], we define several well-motivated flavor symmetries and…

High Energy Physics - Phenomenology · Physics 2023-05-26 Admir Greljo , Ajdin Palavrić , Anders Eller Thomsen

Eclectic flavor groups arising from string compactifications combine the power of modular and traditional flavor symmetries to address the flavor puzzle. This top-down scheme determines the representations and modular weights of all matter…

High Energy Physics - Phenomenology · Physics 2022-10-03 Alexander Baur , Hans Peter Nilles , Saul Ramos-Sanchez , Andreas Trautner , Patrick K. S. Vaudrevange

We propose a model with $A_4$ flavor symmetry for leptons and quarks in the framework of supersymmetric SU(5) grand unified theory (GUT). The running masses of quarks and charged leptons at GUT scale ($\sim 10^{16}$ GeV) are realized by the…

High Energy Physics - Phenomenology · Physics 2019-07-23 Yu Muramatsu , Hideaki Okane , Yusuke Shimizu , Kenta Takagi

We study a flavor model with $A_4$ symmetry which originates from $S_4$ modular group. In $S_4$ symmetry, $Z_2$ subgroup can be anomalous, and then $S_4$ can be violated to $A_4$. Starting with a $S_4$ symmetric Lagrangian at the tree…

High Energy Physics - Phenomenology · Physics 2020-03-18 Tatsuo Kobayashi , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi

A phenomenological approach for the universal mass matrix model with a broken flavor 2 <-> 3 symmetry is explored by introducing the 2 <-> 3 antisymmetric parts of mass matrices for quarks and charged leptons . We present explicit texture…

High Energy Physics - Phenomenology · Physics 2009-11-11 Koichi Matsuda , Hiroyuki Nishiura

We study the modular symmetric standard-model effective field theory. We employ the stringy Ansatz on coupling structure that 4-point couplings $y^{(4)}$ of matter fields are written by a product of 3-point couplings $y^{(3)}$ of matter…

High Energy Physics - Phenomenology · Physics 2022-04-06 Tatsuo Kobayashi , Hajime Otsuka , Morimitsu Tanimoto , Kei Yamamoto

There are experimental indications of large flavor mixing between $\nu_{\mu }$ and $\nu_{\tau}$. In the unification models, in which the massless sector includes extra particles beyond the standard model, there possibly appear the mixings…

High Energy Physics - Phenomenology · Physics 2009-10-30 N. Haba , T. Matsuoka

We extend the framework of non-holomorphic modular flavor symmetry to include the odd weight polyharmonic Maa{\ss} forms. The integer weight polyharmonic Maa{\ss} forms of level $N$ can be arranged into multipltets of the homogeneous finite…

High Energy Physics - Phenomenology · Physics 2025-12-29 Bu-Yao Qu , Jun-Nan Lu , Gui-Jun Ding

Modular symmetries naturally combine with traditional flavor symmetries and $\mathcal{CP}$, giving rise to the so-called eclectic flavor symmetry. We apply this scheme to the two-dimensional $\mathbb{Z}_2$ orbifold, which is equipped with…

High Energy Physics - Theory · Physics 2021-03-02 Alexander Baur , Moritz Kade , Hans Peter Nilles , Saul Ramos-Sanchez , Patrick K. S. Vaudrevange

we study fermion masses and flavor mixing in a supersymmetric SO(10) model, where $\mathbf{10}$, $\mathbf{120}$ and $\mathbf{\bar{126}}$ Higgs multiplets have Yukawa couplings with matter multiplets and give masses to quarks and leptons…

High Energy Physics - Phenomenology · Physics 2010-04-05 Wei-Min Yang , Zhi-Gang Wang

We present a detailed analysis of the eclectic flavor structure of the two-dimensional $\mathbb Z_2$ orbifold with its two unconstrained moduli $T$ and $U$ as well as $\mathrm{SL}(2,\mathbb Z)_T\times \mathrm{SL}(2,\mathbb Z)_U$ modular…

High Energy Physics - Theory · Physics 2021-07-07 Alexander Baur , Moritz Kade , Hans Peter Nilles , Saul Ramos-Sanchez , Patrick K. S. Vaudrevange

Strongly coupled supersymmetric theories can give rise to composite quarks and leptons at low energy. We show that the internal structure of these particles can explain the origin of three generations and provide a qualitative understanding…

High Energy Physics - Phenomenology · Physics 2016-09-06 David B. Kaplan , Francois Lepeintre , Martin Schmaltz

We give an overview of recent progress in the study of fermion mass and flavor mixing phenomena. The hints exhibited by the quark and lepton mass spectra towards possible underlying flavor symmetries, from which realistic models of mass…

High Energy Physics - Phenomenology · Physics 2014-11-17 Harald Fritzsch , Zhi-zhong Xing

Evidences of a discrete symmetry behind the pattern of lepton mixing are analyzed. The program of "symmetry building" is outlined. Generic features and problems of realization of this program in consistent gauge models are formulated. The…

High Energy Physics - Phenomenology · Physics 2015-05-27 Alexei Yu Smirnov

We propose a method to explore the flavor structure of quarks and leptons with reinforcement learning. As a concrete model, we utilize a basic value-based algorithm for models with $U(1)$ flavor symmetry. By training neural networks on the…

High Energy Physics - Phenomenology · Physics 2024-01-31 Satsuki Nishimura , Coh Miyao , Hajime Otsuka

Only four $\mathbb{T}^2/\mathbb{Z}_K$ orbifold building blocks are admissible in heterotic string compactifications. We investigate the flavor properties of all of these building blocks. In each case, we identify the traditional and modular…

High Energy Physics - Theory · Physics 2024-06-13 Alexander Baur , Hans Peter Nilles , Saul Ramos-Sanchez , Andreas Trautner , Patrick K. S. Vaudrevange

We revisit a supersymmetric flavor model based on the symmetries $SU(2)_L \times A_4 \times Z_3 \times U(1)_R$, which extends the original Altarelli and Feruglio construction by introducing flavon and driving superfields responsible for the…

High Energy Physics - Phenomenology · Physics 2025-12-10 Takaaki Nomura , Yusuke Shimizu , Towa Takahashi

We construct a multiscalar and non-renormalizable model where the $\mathbf{S}_{3}$ flavor symmetry drives mainly the Yukawa couplings. In the quark sector, the Nearest Neighbor Interaction (NNI) textures are behind the CKM mixing matrix so…

High Energy Physics - Phenomenology · Physics 2020-11-25 J. D. García-Aguilar , Juan Carlos Gómez-Izquierdo

We present a renormalizable flavor model with Z_4 as flavor symmetry in both the quark and lepton sectors. The model is constructed with a minimal approach and no-right handed neutrinos are introduced. In this approach a minimum number of…

High Energy Physics - Phenomenology · Physics 2013-05-30 Alfredo Aranda , Cesar Bonilla , Alma D. Rojas