  Correlation functions of light scalars in de Sitter space, computed in
standard perturbation theory, are hindered by time-dependent infrared
divergences in the form of powers of $\ln a(t)$, where $a(t)$ is the scale
factor describing the expansion of space. It has often been pointed out that
loop corrections to these correlation functions make their divergence even
stronger. In this note, we argue that this is not the case: Loop corrections
can be treated systematically with standard perturbative techniques (such as
dimensional regularization) without necessarily introducing new $\ln a(t)$
dependencies. To be concrete, we focus on correlation functions represented by
diagrams with a single vertex and an arbitrary number of loops. In this case,
divergences from loops can be removed systematically with counterterms order by
order, and one finds that observable loop-corrected correlation functions are
indistinguishable from their tree-level form. By adopting a Wilsonian
perspective, we further point out that our results favor the use of physical
cutoffs (as opposed to comoving cutoffs) to regularize infrared divergences in
general diagrams with an arbitrary number of loops and vertices.
