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

We consider Higgs boson production by gluon fusion in hadron collisions. We study the doubly-differential transverse-momentum image and rapidity image distribution of the Higgs boson in perturbative QCD. In the region of small image (image, image 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 image, we perform the all-order resummation of large logarithms up to next-to-next-to-leading logarithmic accuracy, while at large image (image), 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 image and y at the LHC, and we comment on the comparison with the image cross section integrated over y.