Higgs boson production at the LHC: Transverse-momentum resummation and rapidity dependence
Abstract
We consider Higgs boson production by gluon fusion in hadron collisions. We study the doubly-differential transverse-momentum (q) and rapidity (y) distribution of the Higgs boson in perturbative QCD. In the region of small q ( q≪M, M 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, we perform the all-order resummation of large logarithms up to next-to-next-to-leading logarithmic accuracy, while at large q ( q∼M), 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 and y at the LHC, and we comment on the comparison with the q cross section integrated over y.
- Publication:
-
Nuclear Physics B
- Pub Date:
- March 2008
- DOI:
- 10.1016/j.nuclphysb.2007.09.034
- arXiv:
- arXiv:0705.3887
- Bibcode:
- 2008NuPhB.791....1B
- Keywords:
-
- 12.38.Cy;
- 14.80.Bn;
- Summation of perturbation theory;
- Standard-model Higgs bosons;
- High Energy Physics - Phenomenology
- E-Print:
- References added