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Four-Loop Decoupling Relations for the Strong Coupling

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arxiv hep-ph/0512058 v1 pith:N7SGVQ74 submitted 2005-12-05 hep-ph

Y. Schroder , M. Steinhauser This is my paper · ORCID
classification hep-ph
keywords couplingfive-loopfour-looporderstrongaccountaccuracyallows
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the $\beta$ function is available to this order) taking into account threshold effects. As a side product we obtain the effective coupling of a Higgs boson to gluons with five-loop accuracy.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects

    hep-ph 2026-01 conditional novelty 7.0 of 10

    First fully differential N3LO QCD predictions for gg->hh in the heavy-top limit, with NLO top-mass effects added; heavy-top scale uncertainty shrinks about 3x, to roughly 1-3%.

  2. Assessing the sensitivity of Energy-Energy Correlations in $e^+e^-$ annihilation to TMD dynamics

    hep-ph 2025-07 conditional novelty 6.0 of 10

    At N4LL accuracy, a global fit to all available e+e- energy-energy correlation data shows the data are insensitive to the Collins-Soper kernel and alpha_s, contradicting a recent extraction claim.

  3. Soft Contributions Stabilize NNLO QCD Corrections to Quarkonium Production and Decay

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Soft contributions stabilize NNLO QCD corrections for S-wave color-singlet quarkonium processes, yielding better perturbative convergence and experimental agreement.

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