CKM Matrix and Fermion Masses in the Dualized Standard Model

Abstract

A Dualized Standard Model recently proposed affords a natural explanation for the existence of Higgs fields and of exactly 3 generations of fermions, while giving at the same time the observed fermion mass hierarchy together with a tree-level CKM matrix equal to the identity matrix. It further suggests a method for generating from loop corrections the lower generation masses and nondiagonal CKM matrix elements. In this paper, the proposed calculation is carried out to 1-loop. It is found first that with the method suggested one can account readily for the masses of the second generation fermions as a `leakage' from the highest generation. Then, with the Yukawa couplings fixed by fitting the masses of the 2 higher generations, one is left with only 2 free parameters to evaluate the CKM matrix and the masses in the lowest generation. One obtains a very good fit to the CKM matrix and sensible values for the masses of $d$ and $e$, though, for a valid reason, not of $u$. In addition, the fitted values of the Yukawa couplings and vacuum expectation values of the dual colour Higgs fields show remarkable features perhaps indicative of a deeper significance.

40 pages, Latex, 3 figures using eps

References in corpus (3)

• Possible Test for the Suggestion that Air Showers with $E>10^{20}$ eV are due to Strongly Interacting Neutrinos
• Physical Consequences of Nonabelian Duality in the Standard Model
• 't Hooft's Order-Disorder Parameters and the Dual Potential

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• A Model Behind the Standard Model
• Mass Hierarchy, Mixing, CP-Violation and Higgs Decay---or Why Rotation is Good for Us
• The Dualized Standard Model and its Applications
• Lepton Transmutation in the Dualized Standard Model
• Developing the Framed Standard Model
• Topological Defects in a Deformed Gauge Theory
• The Rotating Mass Matrix, the Strong CP Problem and Higgs Decay
• Implications of a Rotating Mass Matrix
• Monopoles in Superloop Space
• Coherent Muon-Electron conversion in the Dualized Standard Model
• Photo-Transmutation of Leptons
• Supersymmetric Duality in Deformed Superloop Space
• Mass and mixing of fermions from a rotating mass matrix
• Dualized Gravity beyond Linear Approximation
• Updates to the Dualized Standard Model on Fermion Masses and Mixings