  We describe the calculation of the one-loop corrections to $H \to \gamma
\gamma$ and $g g \to H$ within the four-dimensional unsubtraction/loop-tree
duality (FDU/LTD) approach. The fact that these corrections are both IR and UV
finite is not enough to perform the computation without a proper regularization
of the intermediate steps. We show how the FDU/LTD method unambiguously leads
to the proper result with a pure four-dimensional representation of the loop
amplitude. Moreover, this method allows us to obtain very compact expressions
which share the same functional structure independently of the particles
circulating the loop. Besides this, asymptotic expansions for the low and high
mass regime naturally arise as a consequence of the smoothness of the
integrands obtained to describe the amplitudes.
