  Some gauge theories for fiber target spaces with degenerate metrics are
regarded. The gauge theory with Galilei group G(2) is obtained as a contraction
of SO(2) gauge theory with Higgs mechanism. The analogue of the standard
electroweak theory for contracted SU(2) group is considered. It is shown that
the gauge field theory with degenerate metrics in target (matter) field space
describe the same set of fields and particle mass as initial one, if
Lagrangians in the base and in the fiber both are taken into account. Such
theory based on non-semisimple contracted group provide more simple field
interactions as compared with initial one. The conjecture is advanced that
Higgs boson being an artefact of the Higgs mechanism is unobservable.
