  The resummed transverse momentum distribution of the Higgs boson in gluon
fusion through LO+NLL for small transverse momenta is considered, where the
Higgs is produced through a top- and bottom-quark loop. We study the mass
effects with respect to the infinite top-mass approach. The top-mass effects
are small and the heavy-top limit is valid to better than 4% as long as the
Higgs' transverse momentum stays below 150 GeV. When the bottom loop is
considered as well, the discrepancy reaches up to about 10%. We conclude that
bottom-mass effects cannot be included in a reasonable manner by a naive
reweighting procedure in the heavy-top limit. We compare our results to an
earlier, alternative approach based on POWHEG.
