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Related papers: Non-planar structure of analytical QCD predictions…

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The recent finding, that in QCD at the $O(\alpha_s^2)$-level only non-planar diagrams, which are suppressed by a factor $1/N_c^2$ relative to planar ones, are contributing to the valence part of the Gottfried sum rule, is described. To our…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

The Adler sum rule for deep inelastic neutrino scattering measures the isospin of the nucleus, and is hence exact. In contrast the Gottfried sum rule for charged lepton scattering does receive perturbative and non-perturbative corrections.…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. J. Broadhurst , A. L. Kataev , C. J. Maxwell

The Adler sum rule for deep inelastic neutrino scattering measures the isospin of the nucleon and is hence exact. By contrast, the corresponding Gottfried sum rule for charged lepton scattering was based merely on a valence picture and is…

High Energy Physics - Phenomenology · Physics 2015-06-25 D. J. Broadhurst , A. L. Kataev , C. J. Maxwell

Deep inelastic scattering data on $F_2$ structure function obtained in the fixed-target experiments were analysed in the valence quark approximation with a next-to-next-to-leading-order accuracy. Parton distribution functions are…

High Energy Physics - Phenomenology · Physics 2017-12-19 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

The order $\alpha_s^2$ perturbative QCD correction to the Gottfried sum rule is obtained. The result is based on numerical calculation of the order $\alpha_s^2$ contribution to the coefficient function and on the new estimate of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. L. Kataev , G. Parente

We employ analytic QCD (anQCD) approach to analyze the unpolarized nucleon structure function (NSF) in deep inelastic scattering ( DIS ) processes at the next-to-leading order (NLO) accuracy. Considering the unreliable results of underlying…

High Energy Physics - Phenomenology · Physics 2021-10-13 L. Ghasemzadeh , A. Mirjalili , S. Atashbar Tehrani

We investigate the non-perturbative effect in the nucleon structure function and the Gottfried sum by using a non-perturbative quark propagator with lowest dimensional condensate contributions from the QCD vacuum. It is shown that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jian-Jun Yang , Bo-Qiang Ma , Guang-Lie Li

In this paper we study QCD and power corrections to sum rules which show up in deep inelastic lepton-hadron scattering. Furthermore we will make a distinction between fundamental sum rules which can be derived from quantum field theory and…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Ravindran , W. L. van Neerven

We discuss nonperturbative QCD evolution of nonsinglet nucleon structure functions, with particular application to the Gottfried sum. We show that the coupling of the quark partons to bound state mesons leads to nonperturbative…

High Energy Physics - Phenomenology · Physics 2014-11-17 Richard Ball , Stefano Forte

We present an improved determination of the proton structure functions $F_{2}$ and $xF_{3}$ from the CCFR $\nu $-Fe deep inelastic scattering (DIS) experiment. Comparisons to high-statistics charged-lepton scattering results for $F_{2}$…

High Energy Physics - Experiment · Physics 2008-11-26 CCFR Collaboration , W. Seligman

The \alpha_s^2 correction to the Ellis-Jaffe sum rule for the structure function g_1 of polarized deep inelastic lepton-nucleon scattering is calculated.

High Energy Physics - Phenomenology · Physics 2009-10-28 S. A. Larin

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. I. Alekhin , A. L. Kataev

Recent data on the Gottfried sum and less recent ones on the pion-nucleon sigma term seem to disagree with naive parton-based expectations on the light (i.e., up, down and strange) quark content of the nucleon. We show that these…

High Energy Physics - Phenomenology · Physics 2014-11-17 Stefano Forte

QCD sum rules for the nucleon are considered in complex q^2 plane with inclusion of the radiative corrections of the order alpha_s. It is shown that the radiative corrections affect mainly the residue lambda^2 of the nucleon pole. Their…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Sadovnikova , E. G. Drukarev , M. G. Ryskin

By using a relativistic framework and accurate nuclear spectral functions we evaluate the ratio F_{3A}/AF_{3N} of deep inelastic neutrino scattering. Parametrizations of this ratio for different values of Q^2 are provided. These results…

Nuclear Theory · Physics 2007-05-23 E. Marco , E. Oset , S. K. Singh

The possibility to estimate the isospin symmetry breaking effects in the non-perturbative part of F_2 structure function of the chargeg lN deep-pnelastic scattering, which will provide CLAS++ dewtector of the upgraded TJNAF machine at…

High Energy Physics - Phenomenology · Physics 2014-11-18 S. I. Alekhin , A. L. Kataev , S. A. Kulagin , M. V. Osipenko

Using the Euclidean path-integral formulation for the hadronic tensor, we show that the violation of the Gottfried sum rule does not come from the disconnected quark-loop insertion. Rather, it comes from the connected (quark line) insertion…

High Energy Physics - Phenomenology · Physics 2011-02-01 Keh-Fei Liu , Shao-Jing Dong

We propose a hypothesis on the detailed structure for the representation of the conformal symmetry breaking term in the basic Crewther relation generalized in the perturbation theory framework in QCD renormalized in the ${\rm \bar{MS}}$…

High Energy Physics - Phenomenology · Physics 2015-05-20 A. L. Kataev , S. V. Mikhailov

A detailed NNLO QCD analysis of new CCFR data on the $xF_3$ structure function including the target mass, higher twist and nuclear corrections was performed and parametrizations of the perturbative and power terms of the structure function…

High Energy Physics - Phenomenology · Physics 2022-03-02 A. V. Sidorov , M. V. Tokarev

We have studied the deep inelastic scattering (DIS) of polarized charged leptons from polarized nucleon targets and evaluated the polarized nucleon structure functions $g_{1N,2N}(x,Q^2)$ as well as the nucleon asymmetries $A_{1N,2N}(x,Q^2)$…

High Energy Physics - Phenomenology · Physics 2025-05-01 F. Zaidi , M. Sajjad Athar , S. K. Singh
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