Higgs Decay to Top Quarks at O(αs2)
Abstract
Three-loop corrections to the scalar and pseudo-scalar current correlator are calculated. By applying the large momentum expansion mass terms up to order (m2/q2)4 are evaluated analytically. As an application O(αs2) corrections to the decay of a scalar and pseudo-scalar Higgs boson into top quarks are considered. It is shown that for a Higgs mass not far above the tt threshold these higher order mass corrections are necessary to get reliable results.
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