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Renormalization-Group Improved Prediction for Higgs Production at Hadron Colliders

2008/09/30 by Valentin Ahrens, Thomas Becher, Matthias Neubert +1 · 2 citations
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-009-1030-2

published as Eur.Phys.J.C62:333-353,2009 · 35 pages, 6 figures; v2: update to MSTW2008 PDFs, detailed comparison with moment-space formalism; v3: typo in equation (A.3) corrected

arxiv created 2014/06/13 · arxiv updated 2014/06/16

Abstract

We use renormalization-group methods in effective field theory to improve the theoretical prediction for the cross section for Higgs-boson production at hadron colliders. In addition to soft-gluon resummation at NNNLL, we also resum enhanced contributions of the form (CAπαs)n, which arise in the analytic continuation of the gluon form factor to time-like momentum transfer. This resummation is achieved by evaluating the matching corrections arising at the Higgs-boson mass scale at a time-like renormalization point μ2<0, followed by renormalization-group evolution to μ2>0. We match our resummed result to NNLO fixed-order perturbation theory and give numerical predictions for the total production cross section as a function of the Higgs-boson mass. Resummation effects are significant even at NNLO, where our improved predictions for the cross sections at the Tevatron and the LHC exceed the fixed-order predictions by about 13% and 8%, respectively, for mH=120 GeV. We also discuss the application of our technique to other time-like processes such as Drell-Yan production, e+ e- --> hadrons, and hadronic decays of the Higgs boson.

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