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The three-loop QCD $\beta$-function and anomalous dimensions

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

The analytic calculation of the three-loop QCD $\beta$-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented. The result for the $\beta$-function coincides with the previous calculation \cite{tvz}.

citation-role summary

method 2 background 1

citation-polarity summary

years

2026 2 2025 2

verdicts

UNVERDICTED 4

representative citing papers

Slepton pair production at next-to-leading power

hep-ph · 2025-10-08 · unverdicted · novelty 6.0

Evaluates next-to-leading power threshold corrections for slepton pair production and finds them significant compared to leading power NLL terms, with underestimated scale errors for large masses.

Renormalisation

hep-ph · 2025-11-03 · unverdicted · novelty 1.0

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

citing papers explorer

Showing 4 of 4 citing papers.

  • Slepton pair production at next-to-leading power hep-ph · 2025-10-08 · unverdicted · none · ref 73 · internal anchor

    Evaluates next-to-leading power threshold corrections for slepton pair production and finds them significant compared to leading power NLL terms, with underestimated scale errors for large masses.

  • The strange and flavor-singlet axial form factors of the nucleon from lattice QCD hep-lat · 2026-05-07 · unverdicted · none · ref 64

    Lattice QCD yields the singlet axial form factor G_A^{u+d+s}(Q^2) and strange G_A^s(Q^2) with full error budget after chiral, continuum, and infinite-volume extrapolations.

  • Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination hep-ph · 2026-03-31 · unverdicted · none · ref 53 · internal anchor

    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.

  • Renormalisation hep-ph · 2025-11-03 · unverdicted · none · ref 48 · internal anchor

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