  We have recently proposed a new regularization framework based on the
loop-tree duality theorem. This theorem allows to rewrite loop level amplitudes
in terms of tree-level structures and phase-space integrations. In consequence,
it is possible to combine naturally real and virtual contributions at integrand
level. Moreover, through the introduction of a proper momentum-mapping, a
complete local cancellation of infrared singularities is achieved, by-passing
the necessity of counter-terms. In this article, we briefly explain the
implementation of this novel approach to compute some physical processes, and
we show how to deal with both infrared and ultraviolet divergences without
using DREG.
