Total decay width of $H\to gg$ using the infinite-order scale-setting approach based on the intrinsic conformality

Abstract

We make a detailed study on the properties of the total decay width of Higgs decay channel $H\to gg$ up to ${\alpha }_s^6$-order QCD corrections by using the newly suggested infinite-order scale-setting approach, which is based on the ideas of both the principle of maximum conformality and the intrinsic conformality. This approach is called as the PMC${}_{\infty }$ approach. By using the PMC${}_{\infty }$ approach, we observe that the conventional renormalization scale ambiguity in perturbative QCD calculation is eliminated and the residual scale dependence due to unknown higher-order terms can also be highly suppressed. We then obtain an accurate perturbative QCD prediction on the total decay width, e.g. $\Gamma (H\to gg){|}_{\mathrm{PM}{\mathrm{C}}_{\infty }}=336.42_{-6.92}^{+7.01}$ KeV, where the errors are squared averages of those from all the mentioned error sources.

Comments: 7 pages, 3 figures, to be published in Chinese Physics C