2012/05/20 by Alexander N. Jourjine, Jourjine, Alexander N.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.1205.4424
7 pages. New references added. Transition from 4 to 3 generations and origin of mixing in bi-spinor SM are made more clear
arxiv created 2012/09/10 · arxiv updated 2012/09/11
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.