Gluon final states in Higgs-boson decay

We examine the decays of $H\to 2 \mathrm{gluons}$, $H\to q\overline{q}g$, and $H\to f\overline{f}(f=\mathrm{some}\mathrm{fermion})$ over an extended range of Higgs-boson and $t$-quark masses. In particular, we show that the branching ratio for $H\to 2 \mathrm{gluons}$ may be sizable (∼ 10%) without requiring the existence of superheavy quarks. We calculate the differential spherocity and thrust distributions as well as the values of $〈1-T〉$ and $〈S〉$ for the $H\to q\overline{q}g$ decay.