Properties of the decay $H\to \gamma \gamma$ using the approximate ${\alpha }_s^4$-corrections and the principle of maximum conformality

Abstract

The Higgs boson decay channel, $H\to \gamma \gamma$, is one of the most important channels for probing the properties of the Higgs boson. In the paper, we reanalyze its decay width by using the QCD corrections up to ${\alpha }_s^4$-order level. The principle of maximum conformality has been adopted to achieve a precise pQCD prediction without conventional renormalization scheme-and-scale ambiguities. By taking the Higgs mass as the one given by the ATLAS and CMS collaborations, i.e. $M_H=125.09\pm 0.21\pm 0.11$ GeV, we obtain $\Gamma (H\to \gamma \gamma ){|}_{\mathrm{LHC}}=9.364_{-0.075}^{+0.076}$ KeV.

arXiv comment6 pages, 6 figures

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• Determination of the top-quark $\overline{\mathrm{MS}}$ running mass via its perturbative relation to the on-shell mass with the help of principle of maximum conformality
• Detailed Comparison of Renormalization Scale-Setting Procedures based on the Principle of Maximum Conformality
• Generalized Crewther relation and a novel demonstration of the scheme independence of commensurate scale relations up to all orders
• $Z$-boson hadronic decay width up to $\mathcal{O}({\alpha }_s^4)$-order QCD corrections using the single-scale approach of the principle of maximum conformality
• Precise determination of the top-quark on-shell mass $M_t$ via its scale-invariant perturbative relation to the top-quark $\overline{\mathrm{MS}}$ mass ${\overline{m}}_t({\overline{m}}_t)$
• A new analysis of the pQCD contributions to the electroweak parameter $\rho$ using the single-scale approach of principle of maximum conformality
• Approximate N${}^5$LO Higgs boson decay width $\Gamma (H\to \gamma \gamma )$