On the decay mode Z→Hgg

We present analytic results for the matrix elements relevant for a process with one Z boson, one Higgs boson, and two gluons as external particles to lowest order in perturbation theory. These results are used to study Higgs-boson production associated with two gluon jets through Z decay. We find Γ(Z→Hgg)/Γ(Z→all)<5x10-9 for MH≥24 GeV and mt≥77 GeV. Z→Hgg turns out to be more than 4 orders of magnitude suppressed as compared to the Born process Z→Hq bar q independently of possible angular cuts on the two jets