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SFB/CPP-07-46 TTP07-20 Higgs Decay to Gluons at NNLO

By Marco Schreck and Matthias Steinhauser

Abstract

We present an analytical calculation of the next-to-next-to-leading order corrections to the partial decay width H → gg for a Higgs boson in the intermediate mass range. We apply an asymptotic expansion for MH ≪ 2Mt and compute three terms in the expansion. The leading term confirms the results present in the literature. It is argued that our result is equivalent to an exact calculation up to MH ≈ Mt. For a Higgs boson mass of 120 GeV the power-suppressed terms lead to corrections of about 9 % in the next-to-next-to-leading order coefficient. Up to date the Standard Model (SM) Higgs boson has evaded its direct detection. Electroweak precision data collected at the CERN Large Electron-Positron Collider (LEP), at the Stanford Linear Collider (SLC) and at the Tevatron at Fermilab predict a light SM Higgs boson below approximately 200 GeV. On the other hand, the direct search a

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