pith. machine review for the scientific record. sign in

arxiv: hep-ph/9701390 · v1 · submitted 1997-01-27 · ✦ hep-ph

Recognition: unknown

The four-loop beta-function in Quantum Chromodynamics

Authors on Pith no claims yet
classification ✦ hep-ph
keywords beta-functionfour-loopanalyticalcalculationchromodynamicsminimalquantumscheme
0
0 comments X
read the original abstract

We present the analytical calculation of the four-loop QCD beta-function within the minimal subtraction scheme.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 4 Pith papers

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

  1. Properties and implications of the four-loop non-singlet splitting functions in QCD

    hep-ph 2026-05 unverdicted novelty 7.0

    Four-loop non-singlet QCD splitting functions are verified for consistency and used to finalize analytical forms for the gluon virtual anomalous dimension and N^4LL threshold resummation coefficients, revealing a new ...

  2. Heavy-quark transport across the QCD crossover driven by a lattice-constrained in-medium potential

    hep-ph 2026-04 unverdicted novelty 5.0

    A self-consistent heavy-quark transport model using a lattice-constrained potential with Yukawa and string contributions predicts 2πT Ds ≈ 0.5-1.7 near the QCD crossover, matching lattice QCD results.

  3. Smooth Threshold Effects from Dimensional Regularization

    hep-th 2026-04 unverdicted novelty 4.0

    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.

  4. Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination

    hep-ph 2026-03 unverdicted novelty 4.0

    Combined fits of KEDR and BESIII R(s) data yield alpha_s(M_Z) = 0.1179, 0.1221, and 0.1312 at NLO, NNLO, and NNNLO, demonstrating strong dependence on perturbative truncation order.