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Electroweakly interacting scalar and gauge bosons, and leptons, from field equations on spin 5+1 dimensional space

J. Besprosvany
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Abstract

Unification ideas motivate the formulation of field equations on an extended spin space. Demanding that the Poincare symmetry be maintained, one derives scalar symmetries that are associated with flavor and gauge groups. Boson and fermion solutions are obtained with a fixed representation. A field theory can be equivalently written and interpreted in terms of elements of such space and is similarly constrained. At 5+1 dimensions, one obtains isospin and hypercharge SU(2)_L X U(1) symmetries, their vector carriers, two-flavor charged and chargeless leptons, and scalar particles. Mass terms produce breaking of the symmetry to an electromagnetic U(1), a Weinberg's angle with sin^2(theta_W)=.25, and additional information on the respective coupling constants. Their underlying spin symmetry gives information on the particles' masses; one reproduces the standard-model ratio M_Z/M_W, and predicts a Higgs mass of M_H ~114 GeV, at tree level.

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J. Besprosvany. 2002-06-17. Electroweakly interacting scalar and gauge bosons, and leptons, from field equations on spin 5+1 dimensional space. https://doi.org/10.1142/s0217751x05019610

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