Unified Lepto-Quark Mixing
arXiv:1205.4424
Abstract
We describe a solution to a long standing puzzle about the difference in textures of quark CKM and lepton PMNS mixing matrices by deriving their common representation. We show how the difference in texture of the two matrices arises from assignment of lepton and quark pairs to different representation of a discrete two element symmetry group. The symmetry is absent in the Standard Model. It appears if, instead of Dirac spinors, one describes fermions in terms of bi-spinors and induces essentially unique textures: tri-bimaximal for lepton and O(λ) of Wolfenstein parameterization for quark mixing.
arXiv comment7 pages. New references added. Transition from 4 to 3 generations and origin of mixing in bi-spinor SM are made more clear
References in corpus (17)
- Observation of electron-antineutrino disappearance at Daya Bay
- Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
- Averages of b-hadron, c-hadron, and tau-lepton Properties
- Impact of a Higgs boson at a mass of 126 GeV on the standard model with three and four fermion generations
- Sealing the fate of a fourth generation of fermions
- Tri-bimaximal-Cabibbo Mixing
- Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
- Implications of Higgs Searches on the Four Generation Standard Model
- Precision measurement of the ratio B(t -> Wb)/B(t -> Wq)
- Status of the fourth fermion generation before ICHEP2012: Higgs data and electroweak precision observables
- Flavour Theory: 2009
- Mass Mixing, the Fourth Generation, and the Kinematic Higgs Mechanism
- The Spectrum of the 4-Generation Dirac-Kaehler Extension of the SM
- Scalar Supersymmetry
- The Challenges of Flavour Physics
- Simple parametrization of neutrino mixing matrix
- Mass Eigenstate Mixing in the 4-Generation Dirac-Kaehler Extension of the SM