Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-05-26
Nucl.Phys.B791:1-19,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
References added
Scientific paper
10.1016/j.nuclphysb.2007.09.034
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.
Bozzi Giuseppe
Catani Stefano
de Florian Daniel
Grazzini Massimiliano
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