Higgs boson production at the LHC: Transverse-momentum resummation and rapidity dependence

We consider Higgs boson production by gluon fusion in hadron collisions, We study the doubly-differential transverse-momenturn (qT) and rapidity (y) distribution of the Higgs boson in perturbatiye QCD. In the region of small qT (qT << M-H, M-H being the mass of the Higgs boson), we include the effect of logarithmically-enhanced contributions due to multiparton radiation to all perturbative orders. We use the impact parameter and double Mellin moments to implement and factorize the multiparton kinematics constraint of transverse- and longitudinal-momentum conservation. The logarithmic terms are then systematically resummed in exponential form. At small qT, we perform the all-order resummation of large logarithms up to next-to-next-to-leading logarithmic accuracy, while at large qT (qT similar to M-H), we apply a matching procedure that recovers the fixed-order perturbation theory up to next-to-leading order. We present quantitative results for the differential cross section in qT and y at the LHC, and we comment on the comparison with the (IT cross section integrated over y.