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The strong coupling constant $\alpha_s(\mu)$ is extracted from the fits to charmonium spectrum and fine structure splittings. The relativistic kinematics is taken into account and relativistic corrections are shown to increase the matrix…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. M. Badalian , V. L. Morgunov

The static energy is an excellent observable for extracting the strong coupling $\alpha_s$ on the lattice. For short distances, the static energy can be calculated both on the lattice using Wilson line correlators, and with perturbation…

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 report on the measurement of the Bjorken sum in the range 0.16<Q^2<1.1 GeV^2. The extraction of an effective strong coupling constant is then discussed.

Nuclear Experiment · Physics 2014-11-18 A. Deur

The $x$- and $Q^2$-dependences of the Gottfried sum rule $S_G(x,Q^2)$ based on the experimental data on proton and deuteron structure functions are studied. The dependence of $S_G(x,Q^2)$ on $Q^2$ for low $x$ points to flavour asymmetry of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Sidorov , M. V. Tokarev

We use new high statistics data from CLAS and COMPASS on the nucleon's spin structure function at low Bjorken x and low virtuality, Q^2 < 0.5 GeV^2, together with earlier measurements from the SLAC E-143, HERMES and GDH experiments to…

High Energy Physics - Phenomenology · Physics 2018-09-12 Steven D. Bass , Magdalena Skurzok , Pawel Moskal

The theory of strong interactions, QCD, is described in terms of a few parameters, namely the strong coupling constant alpha_s and the quark masses. We show how these parameters can be determined reliably using computer simulations of QCD…

Computational Physics · Physics 2007-05-23 Rainer Sommer , Hartmut Wittig

The Drell-Hearn-Gerasimov and Bjorken sum rules are special examples of dispersive sum rules for the spin-dependent structure function G_1(\nu, Q^2) at Q^2=0 and \infty. We generalize these sum rules through studying the virtual-photon…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiangdong Ji , Jonathan Osborne

Theoretical description of the spin dependent structure function g_1(x,Q^2) in the region of low values of x and Q^2 is presented. It contains the Vector Meson Dominance contribution and the QCD improved parton model suitably extended to…

High Energy Physics - Phenomenology · Physics 2016-08-25 B. Badelek , J. Kiryluk , J. Kwiecinski

We present an update of a phenomenological model for the spin dependent structure functions $g_1(x,Q^2)$ of the proton and neutron. This model is based on a broken SU(6) wavefunction parametrized by the unpolarized structure functions. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ehrnsperger , A. Schäfer

New experimental results on the spin dependent structure functions g_1 and g_2 which are determined from deep-inelastic scattering experiments at CERN, SLAC and DESY are reported. These results are used to evaluate the Bjorken sum rule and…

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Nassalski

From a fit to the experimental data on the $b\bar{b}$ fine structure, the two-loop coupling constant is extracted. For the 1P state the fitted value is $\alpha_s(\mu_1) = 0.33 \pm 0.01(exp)\pm 0.02 (th)$ at the scale $\mu_1 = 1.8 \pm 0.1$…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. M. Badalian , B. L. G. Bakker

We present a non-perturbative computation of the running of the coupling alpha_s in QCD with two flavours of dynamical fermions in the Schroedinger functional scheme. We improve our previous results by a reliable continuum extrapolation.…

High Energy Physics - Lattice · Physics 2010-04-05 Michele Della Morte , Roberto Frezzotti , Jochen Heitger , Juri Rolf , Rainer Sommer , Ulli Wolff

The results of LO {\it Fixed point} QCD (FP-QCD) analysis of the CCFR data for the nucleon structure function $~xF_3(x,Q^2)~$ are presented. The predictions of FP-QCD, in which $~\alpha_{s}(Q^2)~$ tends to a nonzero coupling constant…

High Energy Physics - Phenomenology · Physics 2016-09-01 Aleksander V. Sidorov , Dimiter B. Stamenov

The strong coupling constant $\alpha_s(M_Z)$ is determined from inclusive jet and dijet cross sections in neutral-current deep-inelastic $ep$ scattering (DIS) measured at HERA by the H1 collaboration using next-to-next-to-leading order…

High Energy Physics - Experiment · Physics 2021-06-17 H1 collaboration , V. Andreev , A. Baghdasaryan , K. Begzsuren , A. Belousov , V. Bertone , A. Bolz , V. Boudry , G. Brandt , V. Brisson , D. Britzger , A. Buniatyan , A. Bylinkin , L. Bystritskaya , A. J. Campbell , K. B. Cantun Avila , K. Cerny , V. Chekelian , J. G. Contreras , J. Cvach , J. Currie , J. B. Dainton , K. Daum , C. Diaconu , M. Dobre , V. Dodonov , G. Eckerlin , S. Egli , E. Elsen , L. Favart , A. Fedotov , J. Feltesse , M. Fleischer , A. Fomenko , E. Gabathuler , J. Gayler , T. Gehrmann , S. Ghazaryan , L. Goerlich , N. Gogitidze , M. Gouzevitch , C. Grab , A. Grebenyuk , T. Greenshaw , G. Grindhammer , C. Gwenlan , D. Haidt , R. C. W. Henderson , J. Hladky , D. Hoffmann , R. Horisberger , T. Hreus , F. Huber , A. Huss , M. Jacquet , X. Janssen , A. W. Jung , H. Jung , M. Kapichine , J. Katzy , C. Kiesling , M. Klein , C. Kleinwort , R. Kogler , P. Kostka , J. Kretzschmar , D. Krücker , K. Krüger , M. P. J. Landon , W. Lange , P. Laycock , A. Lebedev , S. Levonian , K. Lipka , B. List , J. List , B. Lobodzinski , E. Malinovski , H. -U. Martyn , S. J. Maxfield , A. Mehta , A. B. Meyer , H. Meyer , J. Meyer , S. Mikocki , A. Morozov , K. Müller , Th. Naumann , P. R. Newman , C. Niebuhr , J. Niehues , G. Nowak , J. E. Olsson , D. Ozerov , C. Pascaud , G. D. Patel , E. Perez , A. Petrukhin , I. Picuric , H. Pirumov , D. Pitzl , R. Plačakytė , R. Polifka , K. Rabbertz , V. Radescu , N. Raicevic , T. Ravdandorj , P. Reimer , E. Rizvi , P. Robmann , R. Roosen , A. Rostovtsev , M. Rotaru , D. Šálek , D. P. C. Sankey , M. Sauter , E. Sauvan , S. Schmitt , L. Schoeffel , A. Schöning , F. Sefkow , S. Shushkevich , Y. Soloviev , P. Sopicki , D. South , V. Spaskov , A. Specka , M. Steder , B. Stella , U. Straumann , M. R. Sutton , T. Sykora , P. D. Thompson , D. Traynor , P. Truöl , I. Tsakov , B. Tseepeldorj , A. Valkárová , C. Vallée , P. Van Mechelen , Y. Vazdik , D. Wegener , E. Wünsch , J. Žáček , Z. Zhang , R. Žlebčík , H. Zohrabyan , F. Zomer

We present a significantly improved determination of the Bjorken Sum for 0.6$\leq Q^{2}\leq$4.8 GeV$^{2}$ using precise new $g_{1}^{p}$ and $g_{1}^{d}$ data taken with the CLAS detector at Jefferson Lab. A higher-twist analysis of the…

Nuclear Experiment · Physics 2014-07-22 A. Deur , Y. Prok , V. Burkert , D. Crabb , F. -X. Girod , K. A. Griffioen , N. Guler , S. E. Kuhn , N. Kvaltine

A high precision determination of the strong coupling constant in the MS-bar scheme at the Z-mass scale, using low energy quantities, namely pion/kaon decay constants and masses, as experimental input is presented. The computation employs…

High Energy Physics - Lattice · Physics 2018-04-18 Tomasz Korzec

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

We present the first measurement of the Q^2-dependence of the neutron spin structure function g_2^n at five kinematic points covering 0.57 (GeV/c)^2 <= Q^2 <= 1.34 (GeV/c)^2 at x~0.2. Though the naive quark-parton model predicts g_2=0,…

Nuclear Experiment · Physics 2008-11-26 K. Kramer

In the framework of Poincar\'{e} covariant quark model the behavior of running coupling constant $\alpha_{s}\left(Q^{2}\right)$ is considered in $Q < 1 \mbox{GeV}$ region. An analysis was carried out for pseudoscalar and vector mesons with…

High Energy Physics - Phenomenology · Physics 2013-05-21 Viktor V. Andreev