The very large K factor for Higgs-boson production at hadron colliders is shown to result from enhanced perturbative corrections of the form (C-A pi alpha(s))(n), which arise in the analytic continuation of the gluon form factor to timelike momentum transfer. These terms are resummed to all orders in perturbation theory using the renormalization group. After the resummation, the K factor for the production of a light Higgs boson at the LHC is reduced to a value close to 1.3.
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