The Higgs-Boson Decay H→ gg to Order α_s⁵ under the mMOM-Scheme

2015/07/12 by Dai-Min Zeng, Zeng Dai-min, Sheng-Quan Wang +2
Mathematics · Physics and Astronomy · #Arithmetic #Black Holes and Theoretical Physics #Higgs boson #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Momentum (technical analysis) #Nuclear physics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalization #Renormalization group #Renormalon #Scale (ratio) #Subtraction #hep-ph

paper · pdf · doi:10.1088/0954-3899/43/7/075001

published as J. Phys. G: Nucl. Part. Phys. 43 (2016) 075001 · 9 pages, 3 figures. Revised version to be published in J.Phys.G

openalex publication_date 2015/07/12 · arxiv created 2016/05/23 · arxiv updated 2016/05/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the decay width of the Higgs-boson H→ gg up to order α_s⁵ under the minimal momentum space subtraction scheme (mMOM-scheme). To improve the accuracy of perturbative QCD prediction, we adopt the principle of maximum conformality (PMC) to set its renormalization scales. A detailed comparison of the total decay width and the separate decay widths at each perturbative order before and after the PMC scale setting is presented. The PMC adopts the renormalization group equation to fix the optimal scales of the process. After the PMC scale setting, the scale-dependence for both the total and the separate decay widths are greatly suppressed, and the convergence of perturbative QCD series is improved. By taking the Higgs mass M_H=125.09± 0.21± 0.11 GeV, as recently given by the ATLAS and CMS collaborations, we predict Γ(H→ gg)|_{\rm mMOM, PMC} = 339.1± 1.7^+4.0_-2.4 keV, where the first error is for Higgs mass and the second error is the residual scale dependence by varying the initial scale μ_r∈[M_H/2,4M_H].

Citations

• Higgs Boson Gluon-Fusion Production in QCD at Three Loops
• Relating physical observables in QCD using the extended renormalization group method
• Combined Measurement of the Higgs Boson Mass in pp Collisions at √(s)=7 and 8 TeV with the ATLAS and CMS Experiments
• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• The strong coupling and its running to four loops in a minimal MOM scheme
• The Renormalization Scale-Setting Problem in QCD
• Renormalization group functions of QCD in the minimal MOM scheme
• The QCD Pomeron with optimal renormalization
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Quantum Electrodynamics at Small Distances
• Higgs Decay to Order \α_s⁴
• Commensurate scale relations in quantum chromodynamics