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Related papers: Spin Structure Function g_2(x,Q^2) and Twist-3 Ope…

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The higher twist corrections $h^N(x)/Q^2$ to the spin dependent proton and neutron structure functions $g_1^N(x, Q^2)$ are extracted in a model independent way from experimental data on $g_1^N$ and found to be non-negligible. It is shown…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Leader , A. V. Sidorov , D. B. Stamenov

The double logarithmic terms $\alpha_{s} \ln^{2}x $ are important to predict precisely the small $x$ behavior of the spin structure function $g_{1}$. We numerically analyze the evolution of the flavor non-singlet $g_{1}$ including the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yuichiro Kiyo , Jiro Kodaira , Hiroshi Tochimura

In this paper, we present {\tt SMKA18} analysis which is a first attempt to extract the set of next-to-next-leading-order (NNLO) spin-dependent parton distribution functions (spin-dependent PDFs) and their uncertainties determined through…

High Energy Physics - Phenomenology · Physics 2018-05-09 Maral Salajegheh , S. Mohammad Moosavi Nejad , Hamzeh Khanpour , S. Atashbar Tehrani

We derive the complete twist-3 single-spin-dependent cross section for semi-inclusive DIS, $ep^\uparrow\to e\pi X$, associated with the complete set of the twist-3 quark-gluon correlation functions in the transversely polarized nucleon,…

High Energy Physics - Phenomenology · Physics 2009-08-24 Yuji Koike , Kazuhiro Tanaka

A semi-numerical solution to Dokshitzer- Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations at leading order (LO), next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) in the small-x limit is presented. Here we have…

High Energy Physics - Phenomenology · Physics 2012-10-10 Mayuri Devee , R. Baishya , J. K. Sarma

We compute the leading non-analytic quark mass dependence of the matrix elements of isovector twist-2 operators between octet baryon states in quenched QCD using quenched chiral perturbation theory. There are contributions of the form m_q…

Nuclear Theory · Physics 2009-11-07 Jiunn-Wei Chen , Martin J. Savage

In this paper, we solved the coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for singlet and gluon structure functions in leading order (LO) at low-x assuming the Regge behaviour of quark and gluon structure…

High Energy Physics - Phenomenology · Physics 2008-10-22 U. Jamil , J. K. Sarma

We present an update of a phenomenological model for the spin dependent structure functions $g_1(x,Q^2)$ of the proton and neutron. This model is based on a broken SU(6) wavefunction parametrized by the unpolarized structure functions. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ehrnsperger , A. Schäfer

Using recent and updated world data on polarized structure functions $g_1$ and $g_2$ we perform QCD analysis at the next-next-to-leading-order (NNLO) accuracy. We include also target mass correction and higher twist effect to get more…

High Energy Physics - Phenomenology · Physics 2022-04-26 Abolfazl Mirjalili , Shahin Atashbar Tehrani

Polarized structure functions at low $Q^2$ have the physical interpretation of (generalized) spin polarizabilities. At high $Q^2$, the polarized parton distribution $g_2(x)$ provides access to quark-gluon correlations in the nucleon. We…

High Energy Physics - Phenomenology · Physics 2009-05-27 Matthias Burkardt

We will discuss recent results for the spin structure functions, with an emphasis on g2 . High precision g2 data allows for tests of the Burkhardt-Cottingham sum rule, and is needed to consistently evaluate higher twist effects.

Nuclear Experiment · Physics 2009-08-24 K. Slifer

We analyze the breaking of the Wandzura-Wilczek relation for the g_2 structure function, emphasizing its connection with transverse momentum dependent parton distribution functions. We find that the relation is broken by two distinct…

High Energy Physics - Phenomenology · Physics 2014-11-20 Alberto Accardi , Alessandro Bacchetta , W. Melnitchouk , Marc Schlegel

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the polarized structure function $g_1(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics at general…

High Energy Physics - Phenomenology · Physics 2015-06-17 A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider

The review of the nucleon spin structure functions problems is presented. The perturbative QCD predictions for the small x behaviour of the nucleon spin structure functions are discussed. The role of the resummation of the ln^2 1/x terms is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dorota Kotlorz

We perform a detailed NLO analysis of the combined CCFR xF_3 and F_2 structure functions data and extract the value of alpha_s, parameters of distributions and higher-twist (HT) terms using a direct solution of the DGLAP equation. The value…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. I. Alekhin , A. L. Kataev

The twist-3 transverse spin--dependent nucleon structure function $g_2$ arises in high-energy processes involving a transversely polarized nucleon. Its connection to quark--gluon correlations allows for an interpretation in terms of the…

High Energy Physics - Phenomenology · Physics 2026-03-27 Ziqi Zhang , Chandan Mondal , Siqi Xu , Xingbo Zhao , James P. Vary

We investigate the spin structure of the $1^{--}$ and $1^{++}$ charmonium states near the critical temperature using QCD sum rules. To this end, we compute the contribution of the dimension-4 twist-2 gluon operator to the two-point function…

High Energy Physics - Phenomenology · Physics 2025-04-23 HyungJoo Kim

We study the $Q^2$ dependence of the chiral-odd twist-3 distribution $e(x,Q^2)$.The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yuji Koike , N. Nishiyama

We study the covariant version of the quark-parton model, in which the general rules of the angular momentum composition are accurately taken into account. We demonstrate how these rules affect the relativistic interplay between the quark…

High Energy Physics - Phenomenology · Physics 2015-06-23 Petr Zavada

We study deep-inelastic scattering from polarized nuclei within a covariant framework. A clear connection is established between relativistic and non-relativistic limits, which enables a rigorous derivation of convolution formulae for the…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. A. Kulagin , W. Melnitchouk , G. Piller , W. Weise