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arxiv: hep-ph/0607202 · v1 · submitted 2006-07-18 · ✦ hep-ph

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Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme

B.A. Kniehl , A.V. Kotikov , A.I. Onishchenko , O.L. Veretin
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classification ✦ hep-ph
keywords alphabetaconstantflavorloopsschemestrong-couplingthresholds
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We present in analytic form the matching conditions for the strong-coupling constant alpha_s^(n_f)(mu) at the flavor thresholds to four loops in the modified minimal-subtraction scheme. Taking into account the present knowledge on the coefficient beta_4 of the Callan-Symanzik beta function of quantum chromo-dynamics, we thus derive a five-loop formula for alpha_s^(n_f)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda^(n_f) for different numbers of flavors n_f.

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  1. 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.