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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 heavy quark contributions are taken into account.

High Energy Physics - Phenomenology · Physics 2025-01-03 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

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

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

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

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

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 the method of numerical optimization for the perturbative series using the renormalization group in quantum chromodynamics. We apply our approach to the perturbation series in $\alpha_s$ for the coefficient function…

High Energy Physics - Phenomenology · Physics 2019-09-19 D. Kotlorz , S. V. Mikhailov

We re-analyze data on deep inelastic polarized lepton-nucleon scattering, with particular attention to testing the Bjorken sum rule and estimating the quark contributions to the nucleon spin. Since only structure function data at fixed…

High Energy Physics - Phenomenology · Physics 2009-09-25 John Ellis , Marek Karliner

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 compute the imaginary part of the heavy quark contribution to the photon polarization tensor, i.e. the quarkonium spectral function in the vector channel, at next-to-leading order in thermal QCD. Matching our result, which is valid…

High Energy Physics - Phenomenology · Physics 2009-02-09 Y. Burnier , M. Laine , M. Vepsalainen

Some higher twist corrections to the Bjorken sum rule are estimated in the framework of a quark-diquark model of the nucleon. The parameters of the model have been previously fixed by fitting the measured higher twist corrections to the…

High Energy Physics - Phenomenology · Physics 2021-10-19 Mauro Anselmino , Francisco Caruso , Eugene Levin

It is shown that the existing four-loop result for the Bjorken polarized sum rule for deep inelastic electron-nucleon scattering obtained within perturbative Quantum Chromodynamics should be supplemented by the calculation of the diagrams…

High Energy Physics - Phenomenology · Physics 2015-06-15 S. A. Larin

The power correction, surviving the zero quark mass limit and found earlier to restore the validity of Burkhardt-Cottingham sum rule, provides the contribution to the Bjorken sum rule as well. The leading perturbative correction to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev

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

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 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

The structure function of a heavy quark in a heavy hadron in electroproduction is calculated from QCD. Its deviation from the parton model prediction (a delta function) is shown to be governed by a shape function, similar to the one…

High Energy Physics - Phenomenology · Physics 2009-09-25 D. Pirjol

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
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