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.

Comments: 6 pages, 6 figures