Taking into account the constraints from LEP1 and lower energy experim
ents, we identify the seven SU(2) x U(1) gauge invariant purely bosoni
c dim = 6 operators which provide a quite general description of how N
ew Physics could reflect in the bosonic world, if it happens that all
new degrees of freedom are too heavy to be directly produced in the fu
ture colliders. Five of these operators are CP conserving and the rema
ining ones are CP violating. We derive the unitarity constraints for t
he CP violating operators and compare them with the already known cons
traints for the CP conserving ones. Dynamical renormalizable models ar
e also presented, which partly elucidate what the appearance of each o
f these operators can teach us on the mechanism of spontaneous gauge s
ymmetry breaking.