  I am considering Veltman's "The Infrared - Ultraviolet Connection" addressing
the issue of quadratic divergences and the related huge radiative correction
predicted by the electroweak Standard Model (SM) in the relationship between
the bare and the renormalized theory, commonly called "the hierarchy problem"
which usually is claimed that this has to be cured. After the discovery of the
Higgs particle at CERN, which essentially completed the SM, an amazing
interrelation of the leading interaction strengths of the gauge bosons, the
top-quark and the Higgs boson showed up amounting that the SM allows for a
perturbative extrapolation of the running couplings up to the Planck scale. The
central question concerns the stability of the electroweak vacuum, which
requires that the running Higgs self-coupling stays positive. Although several
evaluations seem to favor the meta-stability within the experimental and
theoretical parameter-uncertainties, one should not exclude the possibility
that other experiments and improved matching conditions will be able to
establish the absolute stability of the SM vacuum in the future. I will discuss
the stable vacuum scenario and its impact on early cosmology, revealing the
Higgs boson as the inflaton. It turns out that the Standard Model's presumed
"hierarchy problem" and similarly the "cosmological constant problem" resolve
themselves when we understand the SM as a low energy effective tail that is
emergent from a cutoff-medium at the Planck scale. "The Infrared - Ultraviolet
Connection" conveyed by the Higgs boson mass renormalization appears in a new
light when the energy dependence of the SM couplings is taken into account. The
bare Higgs boson mass square then changes sign below the Planck scale where it
is activating the Higgs mechanism.
