Higgs Decay to Gluons at NNLO

TL;DR

This paper provides an analytical calculation of NNLO corrections to the Higgs decay into gluons, using asymptotic expansion methods for intermediate Higgs masses, confirming previous results and estimating corrections at 120 GeV.

Contribution

The paper introduces an analytical approach to NNLO corrections for Higgs decay to gluons using asymptotic expansion, extending the understanding of mass effects.

Findings

Leading term matches previous literature.

Power-suppressed terms cause about 9% correction at 120 GeV.

Results are valid up to Higgs mass near top quark mass.

Abstract

We present an analytical calculation of the next-to-next-to-leading order corrections to the partial decay width $H\to gg$ for a Higgs boson in the intermediate mass range. We apply an asymptotic expansion for $M_H\ll 2M_t$ 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 $M_H\approx M_t$. 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.