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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

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 5 Pith papers

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

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  2. Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters

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    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.

  4. Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory

    hep-ph 2024-11 accept novelty 6.0 of 10

    Momentum-space SCET threshold resummation for SIA is extended to N4LL for quark and gluon channels, with new large-x coefficients through N3LO and partial N4LO.

  5. 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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