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We present a simple parameterization of a running coupling constant, defined via the static potential, that interpolates between 2-loop QCD in the UV and the string prediction in the IR. Besides the usual $\Lam$-parameter and the string…

High Energy Physics - Lattice · Physics 2009-10-22 Timothy R. Klassen

A brief summary is given on recent determinations of $\Lambda_{\rm QCD}$ and $\alpha_s(M_Z^2)$ from deeply inelastic structure functions.

High Energy Physics - Phenomenology · Physics 2007-06-19 Johannes Blümlein

We compute the full three-loop coefficient functions for the structure functions F_2 and F_L in massless perturbative QCD. The results for F_L complete the next-to-next-to-leading order description of unpolarized electromagnetic…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. M. Vermaseren , A. Vogt , S. Moch

We present recent developments on the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD. A number of experiments show a smooth transition from small to large scales given by the four-momentum…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. Courtoy , Simonetta Liuti

We use lattice QCD simulations, with MILC configurations (including vacuum polarization from u, d, and s quarks), to update our previous determinations of the QCD coupling constant. Our new analysis uses results from 6 different lattice…

High Energy Physics - Lattice · Physics 2009-01-08 C. T. H. Davies , K. Hornbostel , I. D. Kendall , G. P. Lepage , C. McNeile , J. Shigemitsu , H. Trottier

We perform a detailed NLO analysis of the combined CCFR xF_3 and F_2 structure functions data and extract the value of alpha_s, parameters of distributions and higher-twist (HT) terms using a direct solution of the DGLAP equation. The value…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. I. Alekhin , A. L. Kataev

Event Shape Data from $e^+e^-$ annihilation into hadrons collected by the JADE experiment at centre-of-mass energies between 14 GeV and 44 GeV are used to determine the strong coupling $\alpha_S$. QCD predictions complete to…

High Energy Physics - Experiment · Physics 2010-04-15 S. Bethke , S. Kluth , C. Pahl , J. Schieck , the JADE Collaboration

We have calculated the coefficient functions for the structure functions F_2, F_L and F_3 in nu-nubar charged-current deep-inelastic scattering (DIS) at the third order in the strong coupling alpha_s, thus completing the description of…

High Energy Physics - Phenomenology · Physics 2016-06-30 J. Davies , A. Vogt , S. Moch , J. A. M. Vermaseren

The QCD analytic running coupling alpha_{an} which has no nonphysical singularities for all Q^2>0 is considered for the initial perturbation theory approximations up to four loop order. The finiteness of the analytic coupling at zero is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Aleksey I. Alekseev

We extract a numerical value for the strong coupling constant \alpha_s from the \tau-lepton decay rate into nonstrange particles. A new feature of our procedure is the explicit use of renormalization scheme invariance in analytical form in…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. G. Koerner , F. Krajewski , A. A. Pivovarov

The magnitude of the strong interaction is characterized by $\alpha_s$, the coupling parameter in Quantum Chromodynamics (QCD), a parameter with an unexplained value in the Standard Model. In this paper, a candidate explanation for…

High Energy Physics - Phenomenology · Physics 2010-08-03 David Batchelor

Through a holographic model of QCD, we present a phenomenological approach to study the running of the strong coupling constant $\alpha_s$ in both non-perturbative and perturbative regimes. The renormalization of the metric tensor, driven…

High Energy Physics - Phenomenology · Physics 2025-09-22 Héctor Cancio , Pere Masjuan

We revisit the standard procedure to match non-perturbative models to perturbative QCD, using experimental data. The strong coupling constant plays a central role in the QCD evolution of parton densities. We will extend this procedure with…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. Courtoy

The strong coupling $\alpha_s$ is determined with high precision from fits to lattice QCD simulations on the static energy. Our theoretical setup relies on R-improving the three-loop fixed-order prediction for the static energy by removing…

High Energy Physics - Phenomenology · Physics 2026-02-04 Jose M. Mena-Valle , Vicent Mateu , Pablo G. Ortega

The contributions to the deep inelastic scattering structure function which arise from emission of zero, one, two or three resolvable gluons and any number of unresolvable ones are computed to order ${\bar \alpha}_{S}^{3}$. Coherence…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw , A. Sabio Vera

We review the present knowledge for $\alpha_s$, the fundamental coupling underlying the interactions of quarks and gluons in QCD. The dependence of $\alpha_s(Q^2)$ on momentum transfer $Q$ encodes the underlying dynamics of hadron physics…

High Energy Physics - Phenomenology · Physics 2023-05-05 A. Deur , S. J. Brodsky , G. F. de Teramond

We review the determinations of the QCD coupling $\alpha_s$ from the inclusive and exclusive modes of $\tau$-decays. The most recent $\tau$-data provide the average value $ \alpha_ s \left(M^2_\tau \right)\simeq 0.347\pm 0.030 $…

High Energy Physics - Phenomenology · Physics 2012-08-27 S. Narison , :

We report the parton distribution functions (PDFs) determined from the NNLO QCD analysis of the world inclusive DIS data with account of the precise NNLO QCD corrections to the evolution equations kernel. The value of strong coupling…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Alekhin

The latest results on jet cross sections in neutral current deep inelastic $ep$ scattering from the ZEUS Collaboration are presented. The new results were used to perform stringent tests of perturbative QCD and extract precise values of the…

High Energy Physics - Experiment · Physics 2010-11-19 Claudia Glasman

We discuss the combination of NNLO standard QCD evolution and scheme-invariant analysis for unpolarized DIS structure functions data as a method to reduce the theoretical errors on the determination of $\alpha_s(M_Z^2)$ to $\sim 1$% in…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Blümlein , A. Guffanti