  We consider a version of special relativity assuming that the metric in
inertial frames is conformally pseudoeuclidean and depends on some scalar field
with zero vacuum average. Applying this modified special relativity to the
theory of electroweak interactions, and assuming that the introduced scalar
field is proportional to the Higgs field, we show there is full consistency
between the minimal Standard Model and our approach, except that, in our model,
the potential in the Higgs sector is asymmetric and has two distinct vacuum
states. It is found that, in the new modified model the mass of the Higgs
particle is half that in the minimal Standard Model.
