Reanalysis of the Higgs-boson decay $H\to gg$ up to ${\alpha }_s^6$-order level using the principle of maximum conformality

Abstract

Using the newly available ${\alpha }_s^6$-order QCD correction to the Higgs decay channel $H\to gg$, we make a detailed discussion on the perturbative properties of the decay width $\Gamma (H\to gg)$ by using the principle of maximum conformality (PMC). The PMC provides a way to eliminate the conventional renormalization scheme-and-scale ambiguities, which uses the renormalization group equation to determine the optimal running behavior of the strong coupling constant at each order via a recursive way. Even though there is no ambiguity for setting the renormalization scale, there is residual scale dependence for the PMC predictions due to unknown high-order terms. Using the ${\alpha }_s^6$-order terms, the somewhat larger residual renormalization scale dependence at the ${\alpha }_s^5$-order level observed in our previous work can be greatly suppressed, which shows $\Gamma (H\to gg){|}_{\mathrm{PMC}}=337.9\pm 1.7_{-0.1}^{+0.9}\pm 1.9$ KeV, where the first error is caused by the Higgs mass uncertainty $\Delta M_H=0.24$ GeV, the second one is the residual scale dependence by varying the initial choice of scale within the region of $\left[M_H/2,4M_H\right]$, and the third one is the conservative prediction of unknown high-order contributions.

arXiv comment9 pages, 6 figures. Revised version to be published in J.Phys.G

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Cited by in corpus (8)

• The QCD Renormalization Group Equation and the Elimination of Fixed-Order Scheme-and-Scale Ambiguities Using the Principle of Maximum Conformality
• The heavy quarkonium inclusive decays using the principle of maximum conformality
• Precise perturbative predictions from fixed-order calculations
• Gauge dependence of the perturbative QCD predictions under the momentum space subtraction scheme
• Reanalysis of the top-quark pair hadroproduction and a precise determination of the top-quark pole mass at the LHC
• Renormalization-group improved Higgs to two gluons decay rate
• Scale-invariant total decay width $\Gamma (H\to b\bar{b})$ using the novel method of characteristic operator
• Total decay width of $H\to gg$ using the infinite-order scale-setting approach based on the intrinsic conformality