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

高能物理 - 唯象学 · 物理学 2007-05-23 Lech Mankiewicz , Eckart Stein , Andreas Schäfer

We review the theory of polarized deep inelastic scattering in light of the most recent experimental data. We discuss the nucleon spin decomposition and the Bjorken sum rule. The latter is used for extraction of…

高能物理 - 唯象学 · 物理学 2008-02-03 John Ellis , Marek Karliner

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…

高能物理 - 唯象学 · 物理学 2009-09-25 John Ellis , Marek Karliner

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…

高能物理 - 唯象学 · 物理学 2019-09-19 D. Kotlorz , S. V. Mikhailov

The possibility of the first measurement of Bjorken unpolarized sum rule for $F_1$ structure function of $\nu N$ deep-inelastic scattering at Neutrino Factories is commented. The brief summary of various theoretical contributions to this…

高能物理 - 唯象学 · 物理学 2008-11-26 S. I. Alekhin , A. L. Kataev

The determination of twist-4 corrections to the structure functions of polarized $e(\mu)N$ scattering by QCD sum rules is reviewed and critically analyzed. It is found that in the case of the Bjorken sum rule the twist-4 correction is small…

高能物理 - 唯象学 · 物理学 2007-05-23 B. L. Ioffe

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…

高能物理 - 唯象学 · 物理学 2010-04-06 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We perform a NLO analysis of polarized deep inelastic scattering data to test two different solutions to the so called spin crisis: one of them based on the axial gluon anomaly and consistent with the Bjorken sum rule and another one, where…

高能物理 - 唯象学 · 物理学 2009-10-31 C. Bourrely , F. Buccella , O. Pisanti , P. Santorelli , J. Soffer

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…

高能物理 - 唯象学 · 物理学 2018-07-10 Cesar Ayala , Gorazd Cvetic , Anatoly V. Kotikov , Binur G. Shaikhatdenov

We study the available data in polarized e-p deep inelastic scattering to test two different solutions to the so called spin crisis: one of them based on the axial gluon anomaly and consistent with the Bjorken sum rule and another one,…

高能物理 - 唯象学 · 物理学 2008-02-03 C. Bourrely , F. Buccella , O. Pisanti , P. Santorelli , J. Soffer

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\alpha_s$ for the non-singlet contributions to Adler $D$-function and Bjorken polarized sum rule calculated previously in the $\MSbar$-scheme…

高能物理 - 唯象学 · 物理学 2022-05-25 I. O. Goriachuk , A. L. Kataev , V. S. Molokoedov

The nonperturbative $Q^2$- dependence of the sum rules for the structure functions of polarized $e(\mu)N$ scattering is discussed. The determination of twist-4 corrections to the structure functions at high $Q^2$ by QCD sum rules is…

高能物理 - 唯象学 · 物理学 2011-04-15 B. L. Ioffe

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…

高能物理 - 唯象学 · 物理学 2024-09-02 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

We present progress in the QCD analysis of the Bjorken sum rule at low momentum transfers. We study asymptotic structure of the perturbative QCD expansion at low $Q^2$ scales based on analysis of recent accurate data on the Bjorken sum rule…

高能物理 - 唯象学 · 物理学 2013-02-19 V. L. Khandramai , O. P. Solovtsova , O. V. Teryaev

The current status of the Adler function and two closely related Deep Inelastic Scattering (DIS) sum rules, namely, the Bjorken sum rule for polarized DIS and the Gross-Llewellyn Smith sum rule are briefly reviewed. A new result is…

高能物理 - 唯象学 · 物理学 2010-12-13 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We study the polarized Bjorken sum rule at low momentum transfers in the range $0.22<Q<1.73 {\rm GeV}$ with the four-loop N$^3$LO expression for the coefficient function $C_{\rm Bj}(\alpha_s)$ in the framework of the common QCD perturbation…

高能物理 - 唯象学 · 物理学 2015-05-28 V. L. Khandramai , R. S. Pasechnik , D. V. Shirkov , O. P. Solovtsova , O. V. Teryaev

A formal derivation of the polarization correlations between the incident electron and the scattered electron is given for a general class of transition operators. In correspondence to the case of bremsstrahlung emission, three sum rules…

核理论 · 物理学 2024-02-12 D. H. Jakubassa-Amundsen

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…

高能物理 - 唯象学 · 物理学 2024-04-03 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

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…

高能物理 - 唯象学 · 物理学 2024-10-31 S. V. Mikhailov

We use the BLM scale-fixing prescription to derive a renormalization-scheme invariant relation between the coefficient function for the Bjorken sum rule for polarized deep inelastic scattering and the $R$-ratio for the $e^+e^-$ annihilation…

高能物理 - 唯象学 · 物理学 2009-09-11 S. J. Brodsky , G. T. Gabadadze , A. L. Kataev , H. J. Lu
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