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Related papers: QCD Analysis of Twist-4 Contributions to the $g_1$…

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The QCD effects of twist-4 operators on the first moment of nucleon spin-dependent structure function $g_1(x, Q^2 )$ are studied in the framework of operator product expansion and renormalization group method. We investigate the operator…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hiroyuki Kawamura , Tsuneo Uematsu , Yoshiaki Yasui , Jiro Kodaira

We investigate the renormalization of the twist-3 operators which are relevant for the spin-dependent structure function $g_{2}(x, Q^{2})$. We derive the anomalous dimension for the non-singlet part by calculating the off-shell Green's…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro Kodaira , Yoshiaki Yasui , Kazuhiro Tanaka , Tsuneo Uematsu

We discuss the QCD effects of the higher-twist operators in the nucleon spin-dependent structure functions measured by the polarized deep inelastic leptoproduction. We particularly study the renormalization of the twist-3 and twist-4…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tsuneo Uematsu

We investigate the spin structure function $g_2 (x, Q^2 )$ in the framework of the operator product expansion and the renormalization group. The twist-3 operators appearing in QCD are examined and their relations are studied. It is noted…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro KODAIRA , Tsuneo UEMATSU , Yoshiaki Yasui

We discuss the spin-dependent structure function $g_2(x,Q^2)$ in the framework of the operator product expansion. It is noted that the anomalous dimensions and coefficient functions for the twist-3 gluon-field-dependent operators depend on…

High Energy Physics - Phenomenology · Physics 2016-09-01 Yoshiaki Yasui

Matrix elements of spin-dependent twist-four operators are extracted from recent data on the spin-dependent g_1 structure function of the proton and deuteron in the resonance region. We emphasize the need to include the elastic…

High Energy Physics - Phenomenology · Physics 2010-01-06 Xiangdong Ji , W. Melnitchouk

We look at the contribution of Quark-Mass-dependent twist-4 operators to the second moments of spin averaged structure functions and the Bjorken sum rule. Its contribution is non-negligible in the former case due to large Wilson…

High Energy Physics - Phenomenology · Physics 2009-10-22 Su Houng Lee

We calculate twist--4 coefficient functions for the deep inelastic structure function $F_2(x,Q^2)$ associated to 4--gluon operator matrix elements for general values of the Bjorken variable $x$ and study the numerical effect on the slope…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Blümlein , V. Ravindran , J. Ruan , W. Zhu

The twist 2 and twist 3 contributions of the polarized deep-inelastic structure functions are calculated both for neutral and charged current interactions using the operator product expansion in lowest order in QCD. The relations between…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Blümlein , N. Kochelev

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…

High Energy Physics - Phenomenology · Physics 2011-04-15 B. L. Ioffe

It is shown in the framework of the operator product expansion and the renormalization group method that the twist-3 part of flavour nonsinglet spin structure function g_2(x,Q^2) obeys a simple Dokshitzer-Gribov- Lipatov-Altarelli-Parisi…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ken Sasaki

Our previous calculation of the spin-dependent structure function g_2 is revisited. The interest in this structure function is to a great extent motivated by the fact that it receives contributions from twist-two as well as from twist-three…

High Energy Physics - Lattice · Physics 2008-11-26 M. Gockeler , R. Horsley , W. Kurzinger , H. Oelrich , D. Pleiter , P. E. L. Rakow , A. Schafer , G. Schierholz

We re-examine the estimates of the higher twist contributions to the integral of $g_1$, the polarised structure function of the nucleon, based on QCD sum rules. By including corrections both to the perturbative contribution and to the low…

High Energy Physics - Phenomenology · Physics 2009-10-22 Graham G. Ross , R. G. Roberts

We calculate the twist-4 corrections to the integral of $g_1(x,Q^2)$ in the framework of QCD sum rules using an interpolating nucleon field which contains explicitly a gluonic degree of freedom. This information can be used together with…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Stein , P. Gornicki , L. Mankiewicz , A. Schaefer

We present a first study of gluonic twist-four corrections to the deep inelastic structure function F_2 at small x and small Q^2. The calculations are based upon the double logarithmic approximation of the coupled twist-four evolution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jochen Bartels , Claas Bontus

The higher twist contributions to the deeply inelastic structure functions $F_2^{p}(x,Q^2)$ and $F_2^{d}(x,Q^2)$ for larger values of the Bjorken variable $x$ are extracted extrapolating the {twist--2} contributions measured in the large…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johannes Blümlein , Helmut Böttcher

We investigate the nucleon's transverse spin-dependent structure function g_2(x, Q^2) in the framework of the operator product expansion and the renormalization group. We construct the complete set of the twist-3 operators for the flavor…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jiro Kodaira , Takashi Nasuno , Hiroshi Tochimura , Kazuhiro Tanaka , Yoshiaki Yasui

We use QCD sum rules to determine the twist-two non-singlet operator matrix elements and fixed x structure functions paying particular regard to the estimate of the errors. Particularly for the matrix element determination, we find large…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. G. Ross , N. Chamoun

The target mass corrections to the twist-2 contributions of the spin-dependent structure functions are calculated using operator product expansion in lowest order in QCD. The influence of such corrections to the different relations between…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Blümlein , A. Tkabladze

We present results for the one loop anomalous dimension matrix of flavor non-singlet twist-4 operators of lowest spin that contribute to the leading moment of the $F_2$ structure function in deep inelastic electron-nucleon scattering. We…

High Energy Physics - Phenomenology · Physics 2013-08-22 Michael J. Glatzmaier , Sonny Mantry , Michael J. Ramsey-Musolf
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