  The production of the Standard Model Higgs boson of mass ~ 100-140 GeV at the
LHC likely gives clear signals in the $\gamma \gamma$ (1) and in the $\gamma
\gamma jet$ (2) channels. The quantitative evaluation of the background to
channel (1) is very hard since the next-to-leading order (NLO) and
next-to-next-to-leading order (NNLO) QCD corrections are large. In particular,
the contributions of the NNLO QCD subprocess $gg -> \gamma \gamma$ to inclusive
$\gamma\gamma$ production is comparable to the contribution of the leading
order subprocess $q\bar{q} -> \gamma \gamma$. The quantitative description of
the background to channel (1), therefore, requires to calculate all corrections
up to the NNNLO level. In this letter we present results on the contribution of
the NNLO QCD subprocess $gg -> g \gamma \gamma$ to the production rate of
channel (2). We have found that in this case this NNLO contribution is less
than 20% of the Born contribution. Since the NNLO contributions will likely be
dominated by this subprocess one can argue that in the case of channel (2) -
contrary to the case of channel (1)- a quantitative description of the
background can be achieved already at next-to-leading order accuracy.
