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The latest experimental and theoretical developments in the high-precision determination of the strong coupling $\alpha_s$ are briefly reviewed. Six groups of observables: (i) lattice QCD data, (ii) hadronic $\tau$ decays, (iii)…

High Energy Physics - Experiment · Physics 2018-06-19 David d'Enterria

The QCD coupling alpha_s is determined from a combined analysis of experimental e+e- and e-p jet data confronted to theoretical predictions of the energy evolution of the parton-to-hadron fragmentation functions (FFs) moments…

High Energy Physics - Phenomenology · Physics 2015-06-23 Redamy Pérez-Ramos , David d'Enterria

We discuss the determination of the strong coupling $\alpha_\mathrm{\overline{MS}}^{}(m_\mathrm{Z})$ or equivalently the QCD $\Lambda$-parameter. Its determination requires the use of perturbation theory in $\alpha_s(\mu)$ in some scheme,…

High Energy Physics - Phenomenology · Physics 2016-11-02 Mattia Dalla Brida , Patrick Fritzsch , Tomasz Korzec , Alberto Ramos , Stefan Sint , Rainer Sommer

After a brief self-contained introduction to the muon anomalous magnetic moment, (g-2), we review the status of lattice calculations of the hadronic vacuum polarization contribution and present first results from lattice QCD for the…

High Energy Physics - Lattice · Physics 2013-01-15 T. Blum , M. Hayakawa , T. Izubuchi

We introduce a new method for calculating the ${\rm O}(\alpha^3)$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment from ${ab-initio}$ lattice QCD. We first derive expressions suitable for computing the…

High Energy Physics - Lattice · Physics 2018-11-14 Bipasha Chakraborty , Christine T. H. Davies , Jonna Koponen , G. Peter Lepage , Ruth S. Van de Water

The determination of alpha_s(M_Z^2) using O(alpha_s^2) calculations of hadronic event observables in e+e- annihilation is reviewed. The large scatter among alpha_s(M_Z^2) values determined from different observables may be interpreted as…

High Energy Physics - Experiment · Physics 2007-05-23 P. N. Burrows

Various QCD studies based on jet observables in hadronic final states in deep-inelastic scattering and hadron-hadron collisions are presented. Measured quantities are event shape variables, jet rates and jet cross sections. QCD analyses…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Wobisch

Recent determinations of alphas(Mz) from the H1 and ZEUS Collaborations using inclusive-jet cross-section measurements in neutral current deep inelastic scattering at high Q2 are presented. A combined value of alphas(mz)=0.1198 +- 0.0019…

High Energy Physics - Experiment · Physics 2008-11-26 Claudia Glasman

We study QCD in 1+1 dimensions in the large $N_c$ limit using light-front Hamiltonian perturbation theory in the $1/N_c$ expansion. We use this formalism to exactly compute hadronic transition matrix elements for arbitrary currents at…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jorge Mondejar , Antonio Pineda , Joan Rojo

I review and compare various techniques to obtain the value of the QED coupling, alpha, at the Z pole. GigaZ precisions would require a much more accurate determination than available today. A combination of the virtues of current methods…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens Erler

We show that QCD Minkowski observables such as the $e^{+}e^{-}$ R-ratio and the hadronic tau decay $R_{\tau}$ are completely determined by the effective charge (EC) beta-function, $\rho(x)$, corresponding to the Euclidean QCD vacuum…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. J. Maxwell , D. G. Tonge

The hadronic contribution to the muon anomalous magnetic moment $a_\mu=(g_\mu-2)/2$ has to be determined at the per-mille level for the Standard Model prediction to match the expected final uncertainty of the ongoing E989 experiment. That…

High Energy Physics - Lattice · Physics 2021-01-13 Leonardo Giusti , Mattia Dalla Brida , Tim Harris , Michele Pepe

We present results for the dominant light-quark connected contribution to the long-distance window (LD) of the hadronic vacuum polarization contribution (HVP) to the muon $g-2$ from lattice quantum chromodynamics (QCD). Specifically, with a…

We present an update of our determination of the strong coupling alpha_s from the quantum chromodynamics static energy. This updated analysis includes new lattice data, at smaller lattice spacings and reaching shorter distances, the use of…

High Energy Physics - Phenomenology · Physics 2020-06-05 Alexei Bazavov , Nora Brambilla , Xavier Garcia i Tormo , Peter Petreczky , Joan Soto , Antonio Vairo

We present the results of a new evaluation of the anomalous magnetic moment a_mu=(g_mu-2)/2 of the muon where the role of input data needed in the evaluation is lowered in the interval between 1.2 and 3.0 GeV below charm threshold. This is…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Groote , J. G. Körner , J. Maul

The leading hadronic effects in electroweak theory derive from vacuum polarization which are non-perturbative hadronic contributions to the running of the gauge couplings, the electromagnetic alpha_{em}(s) and the SU(2)_L coupling…

High Energy Physics - Phenomenology · Physics 2022-03-02 Fred Jegerlehner

We extend our earlier lattice-QCD analysis of heavy-quark correlators to smaller lattice spacings and larger masses to obtain new values for the c mass and QCD coupling, and, for the first time, values for the b mass:…

High Energy Physics - Lattice · Physics 2014-11-20 C. McNeile , C. T. H. Davies , E. Follana , K. Hornbostel , G. P. Lepage

Motivated by recent progress of theory and experiment on the anomalous magnetic moment of the electron, a_e, we update the hadronic contributions to a_e. Using our up-to-date compilation of e^+ e^- \to hadrons data, we find the leading…

High Energy Physics - Phenomenology · Physics 2015-06-11 Daisuke Nomura , Thomas Teubner

A simple model for the hadronic contribution to the photon vacuum polarization function $\Pi_{had}(q^2)$, for spacelike momenta, is presented. For small momenta, the two loop contribution from the pseudoscalar meson octet is computed from…

High Energy Physics - Phenomenology · Physics 2009-10-22 B. Holdom , Randy Lewis , Roberto R. Mendel

We reevaluate the hadronic vacuum polarisation contributions to the muon magnetic anomaly and to the running of the electromagnetic coupling constant at the $Z$-boson mass. We include newest $e^+e^- \to$ hadrons cross-section data together…

High Energy Physics - Phenomenology · Physics 2020-03-19 M. Davier , A. Hoecker , B. Malaescu , Z. Zhang
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