Mass Prediction of the Weak W, Z, and Higgs Bosons Based on the Spin-Exchange Preon Model as An Alternative to the Higgs Mechanism
Abstract
Jau Tang and Qiang Tang
Unlike the conventional treatment of the weak bosons in the Yang-Mills theory, which utilizes the Dirac equation for a point-like particle with no internal degrees of freedom, we propose a preon-pair model to describe the internal dynamics of this vector0boson family with a photon as an isospin singlet, Z, W+, and W- bosons as a triplet. Instead of the Higgs mechanism, their masses are acquired from the internal dynamics of the chiral pair via strong spin-exchange couplings. Assuming couplings involving some Gell-Mann’s lambda matrices, with no adjustable parameters, we predict mw/mz = sqrt(3)/2~ 0.87 vs. 0.88, a Weinberg angle of 300 vs. 29o, decay width mH/mW = sqrt (3)/2~ 0.87 vs. 0.84, and a Higgs boson, as a composite of W and Z bosons, with mw/mz = sqrt(7/3)~ 1.53 vs. 1.56 experimentally. We could account for the small discrepancy if weak interaction couplings are included. Unlike the Dirac equation that involves a gradient operator with the gamma matrices, ours invokes a curl operator that leads naturally to chirality, representing a topological structure of three intertwined fiber bundles of Möbius tori and connecting to Hopf fibration.
