Hierarchy filters on RG scale-shift parameters {Δ_i} delimit admissible optimizations of truncated pQCD series for C_Bjp and D_NS; only selected literature schemes survive.
QCD Decoupling at Four Loops
4 Pith papers cite this work, alongside 304 external citations. Polarity classification is still indexing.
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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.
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2026 4representative citing papers
Soft contributions stabilize NNLO QCD corrections for S-wave color-singlet quarkonium processes, yielding better perturbative convergence and experimental agreement.
Fits of combined KEDR and truncated BESIII data yield α_s(M_Z)=0.1179 (NLO), 0.1221 (NNLO), 0.1313 (N3LO), with the rise attributed to π² analytic-continuation effects.
A mass-dependent renormalization scheme from dimensional regularization yields smooth threshold transitions in QCD and implements the Appelquist-Carazzone theorem by reducing to minimal subtraction at high energies.
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Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results
Hierarchy filters on RG scale-shift parameters {Δ_i} delimit admissible optimizations of truncated pQCD series for C_Bjp and D_NS; only selected literature schemes survive.
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Soft Contributions Stabilize NNLO QCD Corrections to Quarkonium Production and Decay
Soft contributions stabilize NNLO QCD corrections for S-wave color-singlet quarkonium processes, yielding better perturbative convergence and experimental agreement.
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Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination
Fits of combined KEDR and truncated BESIII data yield α_s(M_Z)=0.1179 (NLO), 0.1221 (NNLO), 0.1313 (N3LO), with the rise attributed to π² analytic-continuation effects.
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Smooth Threshold Effects from Dimensional Regularization
A mass-dependent renormalization scheme from dimensional regularization yields smooth threshold transitions in QCD and implements the Appelquist-Carazzone theorem by reducing to minimal subtraction at high energies.