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The $Q^2$ evolution of polarised parton distributions at small $x$ is studied. Various analytic approximations are critically discussed. We compare the full evolution with that obtained from the leading-pole approximation to the splitting…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Gehrmann , W. J. Stirling

The generalized Gerasimov-Drell-Hearn (GDH) sum rule is known to be very sensitive to QCD radiative and power corrections. We improve the previously developed QCD-inspired model for the $Q^2$-dependence of the GDH sum rule. We take into…

High Energy Physics - Phenomenology · Physics 2010-10-27 Roman Pasechnik , Jacques Soffer , Oleg Teryaev

A new analysis of baryon sum rules is done with modern values of parameters and known perturbative corrections. The restriction for gluon and quark condensates and the new value of nucleon coupling constant are found.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Oganesian

We discuss the possible target mass corrections in the QCD analysis of nucleon's spin-dependent structure functions measured in the polarized deep-inelastic leptoproduction. The target mass correction for the QCD Bjorken sum rule is…

High Energy Physics - Phenomenology · Physics 2016-09-01 Hiroyuki KAWAMURA , Tsuneo UEMATSU

The basis of renormalon calculus is briefly discussed. The method is applied to study QCD predictions for three sum rules of deep-inelastic scattering, namely for the Gross-Llewellyn Smith, Bjorken polarized and unpolarized sum rules. It is…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. L. Kataev

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

In this talk results from a new QCD analysis in leading (LO) and next--to--leading (NLO) order are presented. New parametrizations of the polarized quark and gluon densities are derived together with parametrizations of their fully…

High Energy Physics - Phenomenology · Physics 2009-09-29 J. Blümlein , H. Böttcher

The identity between expressions for the coefficient functions of the Bjorken and Ellis-Jaffe sum rules is derived in the conformal invariant limit of massless U(1) theory, namely in the perturbative quenched QED model, and in the same…

High Energy Physics - Phenomenology · Physics 2012-11-27 A. L. Kataev

As is known from QED, a possible solution to the ghost-pole trouble can be obtained by imposing the $Q^2$-analyticity imperative. Here, the pole is compensated by the $\alpha$ non-analytic contribution that results in finite coupling…

High Energy Physics - Phenomenology · Physics 2008-02-03 D. V. Shirkov , I. L. Solovtsov

A description of the generalized Gerasimov-Drell-Hearn sum rules for proton and neutron is suggested, using their relation to the Bjorken sum rule. The results support an earlier conjecture, that the structure function g_T features a smooth…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jacques Soffer , Oleg V. Teryaev

In the small $Q^2$ region, the sum rule for the polarized structure function $g_2$ corresponding to the moment at $n=0$ is derived. This sum rule shows that there is a tight connection among the resonances,the elastic and the continuum in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Susumu Koretune , Hirofumi Kurokawa

This review article discusses the experimental and theoretical status of various Parton Model sum rules. The basis of the sum rules in perturbative QCD is discussed. Their use in extracting the value of the strong coupling constant is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ian Hinchliffe , Axel Kwiatkowski

Two new sets of QCD sum rules for the nucleon axial coupling constants are derived using the external-field technique and generalized interpolating fields. An in-depth study of the predicative ability of these sum rules is carried out using…

Nuclear Theory · Physics 2009-10-30 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

We present skeleton-motivated evaluation of QCD observables. The approach can be applied in analytic versions of QCD in certain classes of renormalization schemes. We present two versions of analytic QCD which can be regarded as low-energy…

High Energy Physics - Phenomenology · Physics 2011-08-12 Gorazd Cvetic , Cristian Valenzuela

We discuss how the renormalisation scheme ambiguities in QCD can be fixed, when two observables are related, by requiring the coefficients in the perturbative expansion relating the two observables to have their conformal limit values, i.e.…

High Energy Physics - Phenomenology · Physics 2008-12-30 J. Rathsman

It is shown, that the possibility of a freezing of QCD running coupling constant at zero in the approach with "forced analyticity" can not be in accord with Schwinger-Dyson equation for gluon propagator. We propose to add to the analytic…

High Energy Physics - Phenomenology · Physics 2009-10-30 Aleksey I. Alekseev , Boris A. Arbuzov

The generalized Baldin sum rule at finite four-momentum transfer Q^2 is evaluated utilizing a structure function parameterization fit to recent experimental data. The most recent measurements on F_1 from Hall C at Jlab, as well as the F_2…

Nuclear Theory · Physics 2014-02-03 A. Sibirtsev , P. G. Blunden

We present the recent JLab measurements on moments of spin structure functions at intermediate and low Q^2. The Bjorken sum and Burkhardt-Cottingham sum on the neutron are presented. The later appears to hold. Higher moments (generalized…

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

An analytic ghost-free model for the QCD running coupling $\alpha(Q^2)$ is proposed. It is constructed from a more general approach we developed particularly for investigating physical observables of the type $F(Q^2)$ in regions that are…

High Energy Physics - Theory · Physics 2007-05-23 Wajdi Gaddah

A variant of QCD with the coupling suppressed in the infrared (IR) regime, as suggested by large-volume lattice calculations of the Landau-gauge gluon and ghost dressing functions, is considered. The coupling is further restricted by the…

High Energy Physics - Phenomenology · Physics 2020-07-14 Gorazd Cvetic , Reinhart Kogerler
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