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We present improved predictions of a class of event-shape distributionscalled angularity for a contribution from an effective operator $H\to gg$ inHiggs hadronic decay that suffers from large perturbative uncertainties. In theframe of Soft-Collinear Effective Theory, logarithmic terms of the distributionare resummed at NNLL$^{'}$ accuracy, for which 2-loop constant of gluon-jetfunction for angularity is independently determined by a fit to fixed-orderdistribution at NLO corresponding to ${\mathcal{O}}(\alpha_s^2)$ relative tothe born rate. Our determination shows reasonable agreement with value in athesis recently released. In the fit, we use an asymptotic form with afractional power conjectured from recoil corrections at one-loop order and itimproves the accuracy of determination in positive values of angularityparameter $a$. The resummed distribution is matched to the NLO fixed-orderresults to make our predictions valid at all angularity values. We also discussthe first moment and subtracted moment of angularity as a function of $a$ thatallow to extract information on leading and subleading nonperturbativecorrections associated with gluons.

Angularity in Higgs boson decays via $\boldsymbol{H\to gg}$ at NNLL$^{'}$ accuracy