  In this review, we present a new method for computing physical cross sections
at NLO accuracy in QCD without using the standard Dimensional Regularisation.
The algorithm is based on the Loop-Tree Duality theorem, which allow us to
obtain loop integrals as a sum of phase-space integrals; in this way,
transforming loop integrals into phase-space integrals, we propose a method to
merge virtual and real contributions in order to find observables at NLO in
$d=4$ space-time dimensions. In addition, the strategy described is used for
computing the $\gamma^*\to q\bar{q}(g)$ process. A more detailed discussion
related on this topic can be found in Ref [1].
