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The CKM Matrix and Its Origin
Author(s) -
Takeo Matsuoka
Publication year - 1998
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.100.107
Subject(s) - physics , particle physics , quark , cabibbo–kobayashi–maskawa matrix , yukawa potential , massless particle , seesaw mechanism , lepton , neutrino , standard model (mathematical formulation) , context (archaeology) , grand unified theory , mass matrix , orbifold , minimal supersymmetric standard model , matrix (chemical analysis) , cp violation , gauge group , seesaw molecular geometry , supersymmetry , theoretical physics , gauge theory , gauge (firearms) , nuclear physics , paleontology , archaeology , biology , history , electron , materials science , composite material
In the context of the supersymmetric unification model in which the masslesssector contains extra particles beyond those in the minimal supersymmetricstandard model, we obtain mixings between quarks (leptons) and the extraparticles which are closely intertwined with Yukawa hierarchies. With theassumption that the unification gauge group $G$ includes $SU(2)_R$, it is shownthat the non-trivial texture of the CKM matrix originates from theextra-particle mixings. The CKM matrix of quarks emerges as a consequence ofthe mixings between the down-type quarks and colored Higgses, both of which are$SU(2)_L$-singlets. On the other hand, the CKM matrix of leptons is due to themixings stemming from the seesaw mechanism with the hierarchical Majorana massmatrix of right-handed neutrinos.Comment: revised version, 18pages, Latex, no figures (to be published in Prog. Theor. Phys. Vol.100 No.1

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