QCD Decoupling at Four Loops

Abstract

We present the matching condition for the strong coupling contant alpha_s at a heavy quark threshold to four loops in the modified minimal subtraction scheme. Our results lead to further decrease of the theoretical uncertainty of the evolution of the strong coupling constant through heavy quark thresholds. Using a low energy theorem we furthermore derive the effective coupling of the Higgs boson to gluons (induced by a virtual heavy quark) in four- and (partially) through five-loop approximation.

21 pages, 2 figures, the complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/

References in corpus (26)

• Search for the Standard Model Higgs Boson at LEP
• The four-loop beta-function in Quantum Chromodynamics
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• The three loop relation between the \bar {MS} and the pole quark masses
• Higgs Boson Theory and Phenomenology
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Quark Mass Anomalous Dimension to alpha_s**4
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Higgs Decay to Order α_s^4
• Measurement of the Strong Coupling Constant and the Vector and Axial-Vector Spectral Functions in Hadronic Tau Decays
• QCD Corrections to the $e^{+}{e}^{-}$ Cross Section and the $Z$ Boson Decay Rate
• MATAD: a program package for the computation of MAssive TADpoles
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Four-Loop Singlet Contribution to the $\rho$ Parameter
• High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
• High-precision e-expansions of massive four-loop vacuum bubbles
• ep-Finite Basis of Master Integrals for the Integration-By-Parts Method
• Strange Quark Mass from Tau Lepton Decays with O(alpha_s^3) Accuracy
• Automatic reduction of four-loop bubbles
• Tuning FORM with large calculations
• Heavy-quark vacuum polarization: first two moments of the O(alphas^3 nf^2) contribution

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