TTP97-12 Higgs Decay to Top Quarks at O(\alpha_s^2)

TTP97-12 Higgs Decay to Top Quarks at O(\alpha_s^2)

TTP97-12 Higgs Decay to Top Quarks at O(\alpha_s^2)

Three-loop corrections to the scalar and pseudo-scalar current correlator are calculated. By applying the large momentum expansion mass terms up to order (m^2/q^2)^4 are evaluated analytically. As an application O(\alpha_s^2) 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 $t\bar{t}$ threshold these higher order mass corrections are necessary to get reliable results.

R. Harlander and M. Steinhauser
Phys.Rev. D56 3980-3990 1997
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