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Related papers: On Bjorken sum rule: heavy quarks and analytic cou…

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We consider heavy quark contributions to the polarized Bjorken sum rule. We found good agreement between the experimental data and the predictions of analytic QCD. To satisfy the limit of photoproduction, we use new representation of the…

High Energy Physics - Phenomenology · Physics 2024-09-02 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

We present the results of [1], where good agreement was obtained between calculations within the framework of analytic QCD and experimental data on polarized Bjorken sum rule. The photoproduction limit was also considered and a new…

High Energy Physics - Phenomenology · Physics 2024-07-04 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

We found good agreement between the experimental data obtained for the polarized Bjorken sum rule and the predictions of analytic QCD, as well as a strong difference between these data and the results obtained in the framework of…

High Energy Physics - Phenomenology · Physics 2024-04-03 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

This work provides an overview of recent results obtained in the framework of QCD with analytic coupling. Applications to the polarized Bjorken and Gross-Llewellyn Smith sum rules are considered.

High Energy Physics - Phenomenology · Physics 2025-09-29 I. R. Gabdrakhmanov , N. A. Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

We present details of study of the Bjorken polarized sum rule carried out recently in [1] within the range of energies where the data were collected by JLAB collaboration, 0.05 GeV2 < Q2 < 3 GeV2. Three approaches to QCD with analytic…

High Energy Physics - Phenomenology · Physics 2018-02-14 C. Ayala , G. Cvetic , A. V. Kotikov , B. G. Shaikhatdenov

The experimental data obtained for the polarized Bjorken sum rule \Gamma^{(p-n)}_1(Q^2) for small values of Q2 are approximated by the predictions obtained in the framework of analytic QCD up to the 5th order perturbation theory, whose…

High Energy Physics - Phenomenology · Physics 2023-09-26 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , D. A. Volkova , I. A. Zemlyakov

We investigate the Bjorken polarized sum rule (BSR) in three approaches to QCD with analytic (holomorphic) coupling: Analytic Perturbation Theory (APT), Two-delta analytic QCD (2$\delta$anQCD), and Three-delta lattice-motivated analytic QCD…

High Energy Physics - Phenomenology · Physics 2018-07-10 Cesar Ayala , Gorazd Cvetic , Anatoly V. Kotikov , Binur G. Shaikhatdenov

We discuss various estimates of the magnitude of higher-twist corrections to the Bjorken sum rule in polarized deep inelastic scattering.

High Energy Physics - Phenomenology · Physics 2007-05-23 Lech Mankiewicz , Eckart Stein , Andreas Schäfer

Experimental data obtained for the polarized Bjorken sum rule (BSR) $\Gamma_1^{p-n}(Q^2)$ are fitted by using predictions derived within a truncated operator product expansion (OPE) approach to QCD. Four QCD versions are considered:…

High Energy Physics - Phenomenology · Physics 2018-12-12 Cesar Ayala , Gorazd Cvetic , Anatoly V. Kotikov , Binur G. Shaikhatdenov

We give an overview over recent calculations of baryonic correlator functions with finite mass quarks in view on their applicability for QCD sum rules. The QCD sum rule method is then demonstrated within the Heavy Quark Effective Theory.

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Groote

We present an overview of fractional analytic QCD beyond leading order, following the results recently obtained in Ref. [1]. We demonstrate four different representations, the details of their derivation, and show the applicability of…

High Energy Physics - Phenomenology · Physics 2022-07-05 A. V. Kotikov , I. A. Zemlyakov

We summarise the perturbative QCD analysis of the structure function data for g_1 from longitudinally polarized deep inelastic scattering from proton, deuteron and neutron targets, with particular emphasis on testing sum rules, determining…

High Energy Physics - Phenomenology · Physics 2007-05-23 Richard D. Ball , Giovanni Ridolfi , Guido Altarelli , Stefano Forte

I give a short summary of QCD sum rule results for hadrons involving a heavy quark, with emphasis on recent developments.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. M. Braun

We summarize the recent developments on the extraction of the dynamical properties of the heavy quarks from QCD spectral sum rules.

High Energy Physics - Phenomenology · Physics 2010-11-01 Stephan Narison

We compute, for the first time, the order alpha_s^4 contributions to the Bjorken sum rule for polarized electron-nucleon scattering and to the (non-singlet) Adler function for the case of a generic colour gauge group. We confirm at the same…

High Energy Physics - Phenomenology · Physics 2010-04-06 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We present a NLO perturbative analysis of all available data on the polarized structure function g_1(x,Q^2) with the aim of making a quantitative test of the validity of the Bjorken sum rule, of measuring \alpha_s, and of deriving helicity…

High Energy Physics - Phenomenology · Physics 2009-10-30 Guido Altarelli , Richard D. Ball , Stefano Forte , Giovanni Ridolfi

Different ways exist to obtain the elements of the $\{\beta \}$-expansion for renormgroup invariant quantities. Here we consider independent confirmation within the standard QCD of a number of our results [1] for the values of elements of…

High Energy Physics - Phenomenology · Physics 2024-10-31 S. V. Mikhailov

The results of SIDIS experiments concerning the first moments of the polarized quark distributions are considered. The possible reasons of the deviation from the fundamental restrictions such as the Bjorken sum rule and the ways to properly…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. N. Sissakian , O. Yu. Shevchenko , O. N. Ivanov

Analytical all-orders results are presented for the one-renormalon-chain contributions to the Bjorken unpolarized sum rule for the F_1 structure function of nu N deep-inelastic scattering in the large-N_F limit. The feasibility of…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. J. Broadhurst , A. L. Kataev

The heavy-quark QCD sum rules are applied to a model of charmonium based upon the gauge/gravity duality. We find that there is strong agreement between the moments of the polarization function calculated from the holographic model and the…

High Energy Physics - Phenomenology · Physics 2011-02-11 Paul M. Hohler
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