The Loop-Tree duality theorem establishes that loop contributions to scattering amplitudes can be computed through dual integrals, which are build from single cuts of the virtual diagrams at one-loop, and a number of cuts equal to the number of loops in the multi-loop case. In order to build a complete loop-tree duality representation of the cross section, it is crucial to include the renormalised self-energy corrections in a fully unintegrated form with a clear separation of UV and IR singularities.