  In this contribution, we present a new perspective on the control of
quadratic divergences in quantum field theory, in general, and in the Higgs
naturalness problem, in particular. Our discussion is essentially based on an
approach where UV divergences are parameterized, after being reduced to basic
divergent integrals (BDI) in one internal momentum, as functions of a cutoff
and a renormalization group scale $\lambda$. We illustrate our proposal with
well-known examples, such as the gluon vacuum self energy of QCD and the Higgs
decay in two photons within this approach. We also discuss frameworks in
effective low-energy QCD models, where quadratic divergences are indeed
fundamental.
