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A generalized theory of electroweak interaction is developed based on theunderlying geometrical structure of the tangent bundle with symmetries arisingfrom transformations of tangent vectors along the fiber axis at a fixedspace-time point, leaving the scalar product invariant. Transformations withthis property are given by the $SO(3,1)$ group with the little groups$SU(2),E^{c}(2)$ and $SU(1,1)$ where the group $E^{c}(2)$ is the centralextended group of the Euclidian group $E(2).$ Electroweak interaction beyondthe standard model (SM) is described by the transformation group $SU(2)\otimesE^{c}\mathbf{(}2)$ without a priori introduction of a phenomenologicallydetermined gauge group. The Laplacian on this group yields the known internalquantum numbers of isospin and hypercharge, but in addition the extra$E^{c}$-charge $\varkappa $ and the family quantum number $n$ which explainsthe existence of families in the SM. The connection coefficients deliver the SMgauge potentials but also hypothetical gauge bosons and other hypotheticalparticles as well as candidate Dark Matter particles are predicted. It is shownthat the interpretation of the $SO(3,1)$ connection coefficients as elctroweakgauge potentials is compatible with teleparallel gauge gravity theory based onthe translational group.

Electroweak interaction beyond the Standard Model and Dark Matter in the Tangent Bundle Quantum Field Theory