Higher order QCD results for the fermionic contributions of the Higgs-boson decay into two photons and the decoupling function for the MSbar renormalized fine-structure constant

Abstract

We compute the decoupling function of the MSbar renormalized fine-structure constant up to four-loop order in perturbative QCD. The results are used in order to determine the related top-quark contributions to the Higgs-boson decay into two photons in the heavy top-quark mass limit to order alpha_s^4.

arXiv comment19 pages, 4 figures

References in corpus (46)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The four-loop beta-function in Quantum Chromodynamics
• HIGGS BOSON PRODUCTION AT THE LHC
• New features of FORM
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• The three loop relation between the \bar {MS} and the pole quark masses
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Two-loop light fermion contribution to Higgs production and decays
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• QCD Decoupling at Four Loops
• Higgs production and decay: Analytic results at next-to-leading order QCD
• Four-Loop Decoupling Relations for the Strong Coupling
• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• NNLO Computational Techniques: the Cases H -> gamma gamma and H -> g g
• High-precision calculation of multi-loop Feynman integrals by difference equations
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Analytic Results for Virtual QCD Corrections to Higgs Production and Decay
• The three loop on-shell renormalization of QCD and QED
• Two-Photon Decay Widths of Higgs Particles
• Corrections of order ${\alpha }_s^3$ to $R_{had}$ in pQCD with light gluinos
• Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop
• Four-Loop Singlet Contribution to the $\rho$ Parameter
• High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Higgs - Two Photon Decay: QCD radiative correction
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• High-precision e-expansions of massive four-loop vacuum bubbles
• Three-Loop Chromomagnetic Interaction in HQET
• Automatic application of successive asymptotic expansions of Feynman diagrams
• On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory
• ep-Finite Basis of Master Integrals for the Integration-By-Parts Method
• Two-loop electroweak corrections to the Higgs-boson decay H -> gamma gamma
• Analytical Result for the Two-Loop QCD Correction to the Decay H --> 2 gamma
• Simultaneous decoupling of bottom and charm quarks
• Complete Two-Loop Corrections to H -> gamma gamma
• Calculating four-loop tadpoles with one non-zero mass
• Two-loop electroweak correction of O(G_F M_t^2) to the Higgs-boson decay into photons
• Complete three-loop QCD corrections to the decay H -> γγ
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Tuning FORM with large calculations
• Extension of the functionality of the symbolic program FORM by external software

Cited by in corpus (8)

• Higgs Boson Production and Decay at Hadron Colliders
• Properties of the decay $H\to \gamma \gamma$ using the approximate ${\alpha }_s^4$-corrections and the principle of maximum conformality
• $H\to Z\gamma$ decay and $CP$ violation
• Approximate N${}^5$LO Higgs boson decay width $\Gamma (H\to \gamma \gamma )$
• $H\to \gamma \gamma$ to all orders in ${\alpha }_s$ in the large-${\beta }_0$ limit of QCD
• Higgs boson decay into photons at four loops
• Electroweak corrections to $g+g\to H_{l,h}$ and $H_{l,h}\to \gamma +\gamma$ in the Higgs-singlet extension of the Standard model
• Interference effects on Higgs mass measurement in $e^{+}{e}^{-}\to H(\gamma \gamma )Z$ at CEPC