  The standard way to do computations in Quantum Field Theory (QFT) often
results in the requirement of dramatic cancellations between contributions
induced by a "heavy" sector into the physical observables of the "light" (or
low energy) sector - the phenomenon known as "hierarchy problem". This
procedure uses divergent multi-loop Feynman diagrams, their regularisation to
handle the UV divergences, and then renormalisation to remove them. At the same
time, the ultimate outcome of the renormalisation is the mapping of several
finite parameters defining the renormalisable field theory into different
observables (e.g. all kinds of particle cross-sections). In this paper, we
first demonstrate how to relate the parameters of the theory to observables
without running into intermediate UV divergences. Then we go one step further:
we show how in theories with different mass scales, all physics of the "light"
sector can be computed in a way which does not require dramatic cancellations
induced by physics of the "heavy" sector. The existence of such a technique
suggests that the "hierarchy problem" in renormalisable theories is not really
physical, but rather an artefact of the conventional procedure to compute
correlation functions. If the QFT is defined by the "divergencies-free" method
all fine-tunings in theories with well separated energy scales may be avoided.
