https://doi.org/10.1140/epjc/s10052-009-1030-2
Regular Article - Theoretical Physics
Renormalization-group improved prediction for Higgs production at hadron colliders
1
Institut für Physik (THEP), Johannes Gutenberg-Universität, 55099, Mainz, Germany
2
Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL, 60510, USA
* e-mail: becher@fnal.gov
Received:
30
September
2008
Revised:
19
March
2009
Published online:
24
April
2009
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 N3LL, we also resum enhanced contributions of the form (C A π α s ) 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 μ 2<0, followed by renormalization-group evolution to μ 2>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 m H =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.
© Springer-Verlag , 2009
