Soft-gluon resummation for the Higgs differential distribution at the LHC
Dr. Giuseppe Bozzi (Karlsruhe)

"Soft-gluon resummation for the Higgs differential distribution at the LHC"

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