Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic Fluxes

Abstract

Based on the result of classification in our previous work, we exhaustively investigate Yukawa sector of $U(8)$ model on magnetized orbifolds $T^2/Z_2$, $T^2/Z_3$, $T^2/Z_4$ and $T^2/Z_6$ by evaluating ratios of the mass eigenvalues of the three states in all the possible configurations with one and two Higgs pairs where three generations are realized in fermions. Because of smearing effect via kinetic mixing, one can realize a hierarchy such as $10^{-2}$-$10^{-3}$, but it is very difficult to achieve the mass ratio between the up and top quarks ($m_{\text{up}}/m_{\text{top}}\sim 10^{-5}$) on the complicated magnetized orbifolds $T^2/Z_N(N=3,4,6)$.

20 pages, 5 figures, 4 tables (v2), discussions added, typos corrected, published version from Phys. Rev. D. arXiv admin note: text overlap with arXiv:1501.02787

References in corpus (22)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Stringy origin of non-Abelian discrete flavor symmetries
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• Three generation magnetized orbifold models
• Higher Order Couplings in Magnetized Brane Models
• Classification of three-generation models on magnetized orbifolds
• Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds
• Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Massive modes in magnetized brane models
• Shifted orbifold models with magnetic flux
• Orbifold Family Unification
• Yukawa couplings in 6D gauge-Higgs unification on $T^2/Z_N$ with magnetic fluxes
• Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions
• Realization of lepton masses and mixing angles from point interactions in an extra dimension
• Equivalence Classes of Boundary Conditions in Gauge Theory on $Z_3$ Orbifold
• Majorana neutrino mass structure induced by rigid instatons on toroidal orbifold
• D-brane instanton induced mu-terms and their hierarchical structure
• Active Dirac Neutrinos via $SU(2{)}_L$ Doublets in 5d
• Family number, Wilson line phases and hidden supersymmetry

Cited by in corpus (32)

• Landscape of Modular Symmetric Flavor Models
• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• CP-violating phase on magnetized toroidal orbifolds
• Flavour mixings in flux compactifications
• Flavour physics without flavour symmetries
• Classification of three generation models by orbifolding magnetized $T^2\times T^2$
• Wilson lines and UV sensitivity in magnetic compactifications
• Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
• Zero-mode counting formula and zeros in orbifold compactifications
• Texture zeros of quark mass matrices at fixed point $\tau =\omega$ in modular flavor symmetry
• Dynamical generation of fermion mass hierarchy in an extra dimension
• Brane-localized masses in magnetic compactifications
• Moduli trapping mechanism in modular flavor symmetric models
• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• Classifications of magnetized $T^4$ and $T^4/Z_2$ orbifold models
• 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
• Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation
• Modular symmetry and zeros in magnetic compactifications
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models
• Supersymmetry in 6d Dirac Action
• Zero-modes in magnetized $T^6/{\mathbb{Z}}_N$ orbifold models through $Sp(6,\mathbb{Z})$ modular symmetry
• 4D effective action from non-Abelian DBI action with magnetic flux background
• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• Dynamical supersymmetry breaking on magnetized tori and orbifolds
• Dynamical generation of quark/lepton mass hierarchy in an extra dimension
• Toward Realistic Gauge-Higgs Grand Unification
• Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms
• Effects of localized μ-terms at the fixed points in magnetized orbifold models
• Majorana neutrino masses by D-brane instanton effects in magnetized orbifold models
• Wavefunctions on $S^2$ with flux and branes
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models