We derive closed expressions for the mean and variance of the (mini-)jet mu
ltiplicity distribution in hard scattering processes at low x. Here (mini-)
jets are defined as those due to initial-state radiation of gluons with tra
nsverse momenta greater than some resolution scale mu(R), where Lambda(2) m
uch less than mu(R)(2) much less than Q(2), Lambda being the intrinsic QCD
scale and Q the momentum transfer scale of the hard scattering. Our results
are valid to leading order in log(1/x) but include all sub-leading logarit
hms of Q(2)/mu(R)(2). As an illustration, we predict the mini-jet multiplic
ity in Higgs boson production at the Large Hadron Collider.