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

TL;DR

This paper applies the novel PMC$_ Infty$ scale-setting method to compute the Higgs decay width into gluons at high precision, effectively reducing scale ambiguity and providing a more reliable QCD prediction.

Contribution

The paper introduces the PMC$_ Infty$ approach, combining principles of maximum and intrinsic conformality, to improve the accuracy of perturbative QCD calculations for Higgs decay.

Findings

Elimination of renormalization scale ambiguity.

Suppressed residual scale dependence from unknown higher orders.

Precise prediction of Higgs decay width to gluons: 336.42 KeV.

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. $\Gamma (H \to gg)|_{\rm PMC_\infty} =336.42^{+7.01}_{-6.92}$ KeV, where the errors are squared averages of those from all the mentioned error sources.