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We perform an extensive study of the scale dependence of flavor-singlet contributions to the structure function g_2(x,Q^2) in polarized deep-inelastic scattering. We find that the mixing between quark-antiquark-gluon and three-gluon twist-3…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. M. Braun , G. P. Korchemsky , A. N. Manashov

We consider the one-loop factorization of the simplest twist-three process: inclusive deep-inelastic scattering of longitudinally-polarized leptons on a transversely-polarized nucleon target. By studying the Compton amplitudes for certain…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiangdong Ji , Wei Lu , Jonathan Osborne , Xiaotong Song

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

The spin-dependent structure functions g_2 (x, Q^2) are investigated within the framework of the chiral quark soliton model. It turns out that the twist-3 part of g_2 (x, Q^2) gives nonnegligible contributions to the total distributions at…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Wakamatsu

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 resummation of $O(\alpha_s^{l+1} \ln^{2l} x)$ terms in the evolution equation of the singlet part of $g_1(x,Q^2)$ is carried out. The corresponding singlet evolution kernels are calculated explicitely. The leading small-$x$ contribution…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Blümlein , A. Vogt

The twist--2 contributions to the polarized structure functions in deep inelastic lepton--hadron scattering are calculated including the exchange of weak bosons and using both the operator product expansion and the covariant parton model. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , N. Kochelev

The twist--2 heavy flavor contributions to the polarized structure function $g_2(x,Q^2)$ are calculated. We show that this part of $g_2(x,Q^2)$ is related to the heavy flavor contribution to $g_1(x,Q^2)$ by the Wandzura--Wilczek relation to…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Blümlein , V. Ravindran , W. L. van Neerven

We consider the twist-3 gluon contribution to the transverse spin structure function $g_2$.We find that the Burkhardt-Cottingham sum rule is satisfied. The additional {\it nonlocal} operators appear in the moments of g2 which were absent in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Belitsky , A. V. Efremov , O. V. Teryaev

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

We report on recent results on higher twist contributions to the unpolarized structure functions $F_2^{p,d}(x,Q^2)$ at N$^3$LO in the large $x$ region and constraints on the twist--3 contribution to polarized structure function…

High Energy Physics - Phenomenology · Physics 2012-07-16 Johannes Blümlein , Helmut Böttcher

As a possible source of the single transverse spin asymmetry, we study the contribution from purely gluonic correlation represented by the twist-3 ``three-gluon correlation" functions in the transversely polarized nucleon. We first define a…

High Energy Physics - Phenomenology · Physics 2014-11-21 Hiroo Beppu , Yuji Koike , Kazuhiro Tanaka , Shinsuke Yoshida

The twist-2 contributions to the polarized structure functions in deep inelastic lepton--hadron scattering are calculated including the exchange of weak bosons and using both the operator product expansion and the covariant parton model. A…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Blümlein , N. Kochelev

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 derive the twist-3 gluon fragmentation function (FF) contribution to the transversely polarized hyperon production in semi-inclusive deep inelastic scattering, $ep\to e\Lambda^\uparrow X$, in the leading order (LO) with respect to the…

High Energy Physics - Phenomenology · Physics 2022-06-08 Riku Ikarashi , Yuji Koike , Kenta Yabe , Shinsuke Yoshida

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

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

We present for the first time the complete twist-4 result for the semi-inclusive deeply inelastic scattering $e^- N \to e^-qX$ with polarized electron and proton beams at the tree level of pQCD. The calculations have been carried out using…

High Energy Physics - Phenomenology · Physics 2017-04-19 Shu-yi Wei , Yu-kun Song , Kai-bao Chen , Zuo-tang Liang

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

The longitudinal structure function in deep inelastic scattering is one of the observables from which the gluon distribution can be unfolded. Consequently, this observable can be used to constrain the QCD dynamics at small $x$. In this work…

High Energy Physics - Phenomenology · Physics 2011-09-13 V. P. Goncalves , M. V. T. Machado
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