  We point out a novel possible mechanism by which the electroweak hierarchy
problem can be avoided in the (effective) quantum field theory. Assuming the
existence of a UV complete underlying fundamental theory and treating the
cutoff scale $\Lambda$ of the effective field theory as a real physical scale
we argue that the hierarchy problem would be solved if the coefficient in front
of quadratic divergences vanished for some choice of $\Lambda$, and if the
effective theory mass parameters fixed at $\Lambda$ by the fundamental theory
were hierarchically smaller than $\Lambda$ itself. While this mechanism most
probably cannot work in the Standard Model if the scale $\Lambda$ is to be
close to the Planck scale, we show that it can work in a minimal extension
(Conformal Standard Model) proposed recently for a different implementation of
soft conformal symmetry breaking.
