  It is pointed out that the top-quark and Higgs masses and the Higgs VEV
satisfy with great accuracy the relations 4m_H^2=2m_T^2=v^2, which are very
special and reminiscent of analogous ones at Argyres - Douglas points with
enhanced conformal symmetry. Furthermore, the RG evolution of the corresponding
Higgs self-interaction and Yukawa couplings \lambda(0)=1/8 and y(0)=1 leads to
the free-field stable point \lambda(M_Pl)= \dot \lambda(M_Pl)=0 in the pure
scalar sector at the Planck scale, also suggesting enhanced conformal symmetry.
Thus, it is conceivable that the Standard Model is the low-energy limit of a
distinct special theory with (super?) conformal symmetry at the Planck scale.
In the context of such a "scenario" one may further speculate that the Higgs
particle is the Goldstone boson of (partly) spontaneously broken conformal
symmetry. This would simultaneously resolve the hierarchy and Landau pole
problems in the scalar sector and would provide a nearly flat potential with
two almost degenerate minima at the electroweak and Planck scales.
