A Model Behind the Standard Model

Abstract

In spite of its many successes, the Standard Model makes many empirical assumptions in the Higgs and fermion sectors for which a deeper theoretical basis is sought. Starting from the usual gauge symmetry $u(1)\times su(2)\times su(3)$ plus the 3 assumptions: (A) scalar fields as vielbeins in internal symmetry space \cite{framevec}, (B) the ``confinement picture'' of symmetry breaking \cite{tHooft,Banovici}, (C) generations as ``dual'' to colour \cite{genmixdsm}, we are led to a scheme which offers: (I) a geometrical significance to scalar fields, (II) a theoretical criterion on what scalar fields are to be introduced, (III) a partial explanation of why $su(2)$ appears broken while $su(3)$ confines, (IV) baryon-lepton number (B - L) conservation, (V) the standard electroweak structure, (VI) a 3-valued generation index for leptons and quarks, and (VII) a dynamical system with all the essential features of an earlier phenomenological model \cite{genmixdsm} which gave a good description of the known mass and mixing patterns of quarks and leptons including neutrino oscillations. There are other implications the consistency of which with experiment, however, has not yet been systematically explored. A possible outcome is a whole new branch of particle spectroscopy from $su(2)$ confinement, potentially as rich in details as that of hadrons from colour confinement, which will be accessible to experiment at high energy.

66 pages, added new material on phenomenology, and some new references

References in corpus (9)

• A Generalized Duality Symmetry for Nonabelian Yang-Mills Fields
• Physical Consequences of Nonabelian Duality in the Standard Model
• CKM Matrix and Fermion Masses in the Dualized Standard Model
• A Dynamical Mechanism for Quark Mixing and Neutrino Oscillations
• The Electroweak Interactions as a Confinement Phenomenon
• Features of Quark and Lepton Mixing from Differential Geometry of Curves on Surfaces
• Circumstantial Evidence for Rotating Mass Matrix from Fermion Mass and Mixing Data
• Flavour-Changing Neutral Currents in the Dualized Standard Model
• Lepton Transmutation in the Dualized Standard Model

Cited by in corpus (10)

• Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes
• A Solution of the Strong CP Problem Transforming the theta-angle to the KM CP-violating Phase
• A First Test of the Framed Standard Model against Experiment
• Mass Hierarchy, Mixing, CP-Violation and Higgs Decay---or Why Rotation is Good for Us
• Developing the Framed Standard Model
• Exploring Framed Gauge Theory as Basis for Physical Models
• The Rotating Mass Matrix, the Strong CP Problem and Higgs Decay
• Possible Anomalies in Higgs Decay: Charm Suppression and Flavour-Violation
• A Comprehensive Mechanism Reproducing the Mass and Mixing Parameters of Quarks and Leptons
• Vacuum stability and the Cholesky decomposition