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Related papers: Spin Structure Function $g_2$ and Twist-3 Operator…

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We have obtained a general solution of evolution equations for QCD twist-2 string operators in form of expansion over complete set of orthogonal eigenfunctions of evolution kernels in coordinate-space representation. In the leading…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Kivel , L. Mankiewicz

We unravel the structure of the spectrum of the anomalous dimensions of the quark-gluon twist-3 operators which are responsible for the multiparton correlations in hadrons and enter as a leading contribution to several physical cross…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky

We propose a new approach for taking into account the Q^2 dependence of measured asymmetry A1. This approach is based on the similarity of the Q2 behaviour and the shape of the spin-dependent structure function g1(x,Q^2) and spin averaged…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Kotikov , D. V. Peshekhonov

We present the first measurement of the Q^2-dependence of the neutron spin structure function g_2^n at five kinematic points covering 0.57 (GeV/c)^2 <= Q^2 <= 1.34 (GeV/c)^2 at x~0.2. Though the naive quark-parton model predicts g_2=0,…

Nuclear Experiment · Physics 2008-11-26 K. Kramer

I consider three-point functions of one protected and two unprotected twist-two operators with spin in N=4 SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on…

High Energy Physics - Theory · Physics 2019-05-01 Marco S. Bianchi

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

The twist three contributions to the $Q^2$-evolution of the spin-dependent structure function $g_2(x_{Bj},Q^2)$ are considered in the non-local operator product approach. Defining appropriate twist three distribution function we derive…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Geyer , D. Müller , D. Robaschik

We will give an outline of the computation of the QCD corrections to the spin structure function g_1(x,Q^2) and the spin fragmentation function g_1^H(x,Q^2) which are measured in deep inelastic electron-proton scattering and in…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

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 nucleon mass corrections are calculated to all polarized structure functions for neutral and charged current deep inelastic scattering in lowest order in the coupling constant. The impact of the target mass corrections on the general…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Blumlein , A. Tkabladze

We discuss the implications of a "constituent quark" structure of the nucleon for the leading (1/Q^2-) power corrections to the spin structure functions. Our basic assumption is the presence of quark-gluon correlations in the nucleon wave…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Sidorov , C. Weiss

We perform a global analysis of all available spin-dependent proton structure function data, covering a large range of Q^2, 1 < Q^2 < 30 GeV^2, and calculate the lowest moment of the g_1 structure function as a function of Q^2. From the Q^2…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Osipenko , W. Melnitchouk , S. Simula , P. Bosted , V. Burkert , M. E. Christy , K. Griffioen , C. Keppel , S. E. Kuhn

Higher twist corrections to the structure function F_2 at small x are studied for the case of a flat initial condition for the twist-two QCD evolution in the next-to-leading order approximation. We present an analytical parameterization of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexei Yu. Illarionov , Anatoly V. Kotikov , Gonzalo Parente

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

Polarized photon structure can be studied in the future polarized $e^{+}e^{-}$ colliding-beam experiments. We investigate the spin-dependent structure function of the virtual photon $g_1^{\gamma}(x,Q^2,P^2)$, in perturbative QCD for…

High Energy Physics - Phenomenology · Physics 2016-08-25 Ken Sasaki , Tsuneo Uematsu

The spin structure function $g_1^p$ of the proton is studied in a two component framework, where the perturbative evolution of parton distributions and nonperturbative vector meson dominance model are used. We predict the $g_1^p$ asymmetric…

High Energy Physics - Phenomenology · Physics 2015-03-10 Wei Zhu , Jianhong Ruan

We consider "gauge invariant" operators in Sym^N T^4, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T^4 target. We discuss a spin chain representation for single-cycle operators and study their two…

High Energy Physics - Theory · Physics 2014-11-20 Ari Pakman , Leonardo Rastelli , Shlomo S. Razamat

We review the possibility to use the renormalons emerging in the perturbation series of the twist-2 part of the nonsinglet structure functions FL, F2, F3, and g1 to make approximate predictions for the magnitude of the appertaining twist-4…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Maul , E. Stein , L. Mankiewicz , M. Meyer-Hermann , A. Schafer

We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions $F_1$, $F_2$, $g_1$ and $g_2$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion.…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group…

High Energy Physics - Theory · Physics 2009-10-28 Vladimir Dotsenko , Marco Picco , Pierre Pujol