Abstract :
The virtual corrections to the production cross section of a Standard Model Higgs boson are computed up to order αs4. Using an effective Lagrangian for the limit Mt→∞, we evaluate the relevant massless two-loop vertex diagrams by mapping them onto three-loop two-point functions, following a method recently introduced by Baikov and Smirnov . As a result, we find a gauge-invariant contribution to the total Higgs production cross section at NNLO.