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We present very simple non-integral relations between deep inelastic structure functions $F_L$, $F_2$ and the gluon distribution at small $x$ based on perturbative QCD which are useful for the phenomenological analysis of data at low $x$.…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Parente , A. V. Kotikov

An update of measurements of the strong coupling constant $\alpha_s$ is given, representing the status of September 2002. The results convincingly prove the energy dependence of $\alpha_s$ and are in excellent agreement with the…

High Energy Physics - Experiment · Physics 2011-03-23 Siegfried Bethke

We extract an effective strong coupling constant using low-Q^2 data and sum rules. Its behavior is established over the full Q^2-range and is compared to calculations based on lattice QCD, Schwinger-Dyson equations and a quark model.…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Deur

We present a strong coupling constant extraction at Next-to-Leading Order QCD accuracy using ATLAS Z+2,3,4 jets data. This is the first extraction using processes with a dependency to high powers of the coupling constant. We obtain values…

High Energy Physics - Phenomenology · Physics 2018-03-21 Mark Johnson , Daniel Maître

We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions $F_1$, $F_2$, $g_1$ and $g_2$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion.…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

The summary of nonperturbative results for the QCD invariant coupling bar{alpha}_s obtained by lattice simulations for functional integral and by solution of approximate Dyson--Schwinger equations reveals a puzzling variety of IR behavior…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Shirkov

We present a determination of the QCD coupling constant, $\alpha_s$, obtained by fitting lattice results for the flavour $ud$ hadronic vacuum polarisation function to continuum perturbation theory. We use $n_f=2+1$ flavours of Domain Wall…

High Energy Physics - Lattice · Physics 2018-07-09 Renwick J. Hudspith , Randy Lewis , Kim Maltman , Eigo Shintani

The nucleon structure functions probed in deep-inelastic scattering at large virtualities form an important tool to test Quantum Chromdynamics (QCD) through precision measurements of the strong coupling constant $\alpha_s(M_Z^2)$ and the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Johannes Blümlein

Inclusive jet cross section measurements from the ATLAS, CDF, CMS, D0, H1, STAR, and ZEUS experiments are explored for determinations of the strong coupling constant $\alpha_{\text{s}}(M_{\text{Z}})$. Various jet cross section data sets are…

High Energy Physics - Phenomenology · Physics 2018-07-25 Daniel Britzger , Klaus Rabbertz , Daniel Savoiu , Georg Sieber , Markus Wobisch

We present an overview of the recent lattice determination of the QCD coupling $\alpha_s$ by the ALPHA Collaboration. The computation is based on the non-perturbative determination of the $\Lambda$-parameter of $N_{\rm f}=3$ QCD, and the…

High Energy Physics - Phenomenology · Physics 2018-12-18 Mattia Dalla Brida

We perform a global fit of parton distribution functions (PDFs) together with the strong coupling constant $\alpha_s$ and the quark masses $m_c$, $m_b$ and $m_t$ at next-to-leading order (NLO) in QCD. The analysis applies the…

High Energy Physics - Phenomenology · Physics 2018-09-10 S. Alekhin , J. Blümlein , S. Moch

Theoretical predictions for particle production cross sections and decays at colliders rely heavily on perturbative Quantum Chromodynamics (QCD) calculations, expressed as an expansion in powers of the strong coupling constant $\alpha_s$.…

We present a determination of the strong coupling $\alpha_s(m_Z)$ from a global dataset including both fixed-target and collider data from deep-inelastic scattering and a variety of hadronic processes, with a simultaneous determination of…

Evolution of the parton densities at NLO in $\alpha_S$ using $\tilde W^2 = Q^2 (1-z)/z$ instead of the usual $Q^2$ for the scale of the running coupling $\alpha_S$ is investigated. While this renormalisation scale change was originally…

High Energy Physics - Phenomenology · Physics 2011-09-13 R. G. Roberts

We estimate the strong coupling constant from the perturbative expansion of the plaquette. The scale is set by the 2S-1S and 1P-1S splittings in bottomonium which are computed in NRQCD on dynamical gauge configurations with nf=2 degenerate…

High Energy Physics - Lattice · Physics 2009-10-31 SESAM Collaboration , A. Spitz , N. Eicker , S. Guesken , H. Hoeber , P. Lacock , T. Lippert , K. Schilling , T. Struckmann , P. Ueberholz , J. Viehoff

Theoretical basics and experimental determinations of the coupling parameter of the Strong Interaction, $\alpha_s$, are reviewed. The world average value of $\alpha_s$, expressed at the energy scale of the rest mass of the $Z^0$ boson, is…

High Energy Physics - Experiment · Physics 2011-03-23 S. Bethke

Previously published data on inclusive neutral and charged current e+p and e-p deep inelastic scattering from HERA have been combined. The new, model-independent method of combining the measured cross sections takes full account of…

High Energy Physics - Experiment · Physics 2015-05-13 C. Gwenlan

The data from the HERA experiments H1 and ZEUS allows a precise extraction of the strong coupling constant {\alpha}S with the highest experimental precision (sub 1%). A review of recent measurements of jet cross sections in neutral current…

High Energy Physics - Experiment · Physics 2010-06-01 Mihajlo Mudrinic

We perform a determination of the strong coupling constant using the latest ATLAS inclusive jet cross section data, from proton-proton collisions at sqrt{s}=7 TeV, and their full information on the bin-to-bin correlations. Several…

High Energy Physics - Phenomenology · Physics 2012-07-04 Bogdan Malaescu , Pavel Starovoitov

This paper presents a summary of the current status of determinations of the strong coupling constant alpha_s. A detailed description of the definition, scale dependence and inherent theoretical ambiguities is given. The various physical…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ian Hinchliffe , Aneesh V. Manohar
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