{ "id": "hep-ph/0210135", "version": "v2", "published": "2002-10-08T23:02:12.000Z", "updated": "2003-03-06T18:30:11.000Z", "title": "Differential Cross Section for Higgs Boson Production Including All-Orders Soft Gluon Resummation", "authors": [ "Edmond L. Berger", "Jianwei Qiu" ], "comment": "42 pages, latex, 26 figures. All figures replaced. Some changes in wording. Published in Phys. Rev. D67, 034026 (2003)", "journal": "Phys.Rev.D67:034026,2003", "doi": "10.1103/PhysRevD.67.034026", "categories": [ "hep-ph", "hep-ex", "hep-th" ], "abstract": "The transverse momentum $Q_T$ distribution is computed for inclusive Higgs boson production at the energy of the CERN Large Hadron Collider. We focus on the dominant gluon-gluon subprocess in perturbative quantum chromodynamics and incorporate contributions from the quark-gluon and quark-antiquark channels. Using an impact-parameter $b$-space formalism, we include all-orders resummation of large logarithms associated with emission of soft gluons. Our resummed results merge smoothly at large $Q_T$ with the fixed-order expectations in perturbative quantum chromodynamics, as they should, with no need for a matching procedure. They show a high degree of stability with respect to variation of parameters associated with the non-perturbative input at low $Q_T$. We provide distributions $d\\sigma/dy dQ_T$ for Higgs boson masses from $M_Z$ to 200 GeV. The average transverse momentum at zero rapidity $y$ grows approximately linearly with mass of the Higgs boson over the range $M_Z < m_h <200$ GeV, $ \\simeq 0.18 m_h + 18 $~GeV. We provide analogous results for $Z$ boson production, for which we compute $ \\simeq 25$ GeV. The harder transverse momentum distribution for the Higgs boson arises because there is more soft gluon radiation in Higgs boson production than in $Z$ production.", "revisions": [ { "version": "v2", "updated": "2003-03-06T18:30:11.000Z" } ], "analyses": { "subjects": [ "14.70.Hp", "14.80.Bn", "13.85.Qk", "12.38.Cy" ], "keywords": [ "higgs boson production", "all-orders soft gluon resummation", "differential cross section", "transverse momentum", "perturbative quantum chromodynamics" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "LaTeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable", "inspire": 599283 } } }