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Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme

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arxiv hep-ph/9706430 v1 pith:2TNQGIQN submitted 1997-06-20 hep-ph hep-ex

classification hep-phhep-ex
keywords alphabetaconstantcouplingflavourloopsschemestrong
verification ladder T0 review T1 audit T2 compute T3 formal
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We present in analytic form the matching conditions for the strong coupling constant alpha_s^(n_f)(mu) at the flavour thresholds to three loops in the modified minimal-subtraction scheme. Taking into account the recently calculated coefficient beta_3 of the Callan-Symanzik beta function of quantum chromodynamics, we thus derive a four-loop formula for alpha_s^(n_f)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda^(n_f) for different numbers of flavours n_f.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 370 citations worldwide. Full citation record

  1. A new approach to quark mass determination using the gradient flow

    hep-lat 2025-06 conditional novelty 7.0 of 10

    The MS quark mass can be extracted by matching lattice data to ratios of flowed quark bilinear VEVs, and this paper provides the required next-to-leading-order expressions with full mass dependence.

  2. Implementation of DIS at N$^3$LO for PDF determination

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    N³LO DIS implementation in VFNS with improved massive neutral-current coefficient approximation for PDF fits.

  3. Renormalisation

    hep-ph 2025-11 unverdicted novelty 1.0 of 10

    An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.

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