Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons

Abstract

To include the quark sector, the $A_5\equiv I$ (icosahedron) four generation lepton model is extended to a binary icosahedral symmetry $I^{\prime }$ flavor model. We find the masses of fermions, including the heavy sectors, can be accommodated. At leading order the CKM matrix is the identity and the PMNS matrix, resulting from same set of vacua, corresponds to tribimaximal mixings.

13 pages, 4 tables and one figure. References added, version published in PTEP

References in corpus (21)

• 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
• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• Flavor Changing Neutral Currents, an Extended Scalar Sector, and the Higgs Production Rate at the LHC
• Impact of a Higgs boson at a mass of 126 GeV on the standard model with three and four fermion generations
• Less space for a new family of fermions
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Simple Finite Non-Abelian Flavor Groups
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• Fourth Generation CP Violation Effect on B -> K pi, phi K and rho K in NLO PQCD
• Joint analysis of Higgs decays and electroweak precision observables in the Standard Model with a sequential fourth generation
• An extended scalar sector to address the tension between a fourth generation and Higgs searches at the LHC
• Test of Lepton Flavour Universality in K+ --> l+nu Decays
• Status of the fourth fermion generation before ICHEP2012: Higgs data and electroweak precision observables
• Dark Matter from Binary Tetrahedral Flavor Symmetry
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Neutrino Masses and a Fourth Generation of Fermions

Cited by in corpus (3)

• Double Covering of the Modular $A_5^{}$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• Inverse seesaw in $A_5^{\prime }$ modular symmetry