Estimate of $\Gamma(H \to gg)$ at $O(\alpha_s^7)$ from Pad\'e approximants with constraints from large-$n_f$
In this work we estimate the first unknown QCD correction to the decay of the Higgs boson into gluons, $H\to gg$, in the heavy-top limit using Pad\'e approximants built to the perturbative series and to its Borel transform. In the process, we also obtain estimates for the first unknown coefficients of the QCD $\beta$ f...