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Related papers: The evolution of the nonsinglet twist-3 parton dis…

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We consider a new approach for taking into account the Q2 dependence of asymmetry A_1. This approach is based on the similarity of the Q2 behavior and the shape of the spin-dependent structure function g_1(x,Q^2) and spin averaged structure…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Kotikov , D. V. Peshekhonov

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 study the Sivers asymmetry in semi-inclusive deep inelastic scattering: the three-gluon correlation function contribution. At the cross section level, we establish the matching between the twist-3 collinear factorization approach and the…

High Energy Physics - Phenomenology · Physics 2021-03-12 Ling-Yun Dai

We derive a second-order linear differential equation for the leading order gluon distribution function G(x,Q^2) = xg(x,Q^2) which determines G(x,Q^2) directly from the proton structure function F_2^p(x,Q^2). This equation is derived from…

High Energy Physics - Phenomenology · Physics 2010-03-25 Martin M. Block , Loyal Durand , Douglas W. McKay

The twist-three distributions $g_2(x)$ and $h_2(x)$ are defined as quark-field matrix elements between polarized hadron states. They can be written in terms of quark-mass and gluonic operators, after which the Burkhardt-Cottingham sum rule…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Tangerman , P. J. Mulders

Nuclear parton distributions and structure functions are determined in an effective chiral quark theory. We also discuss an extension of our model to fragmentation functions.

Nuclear Theory · Physics 2009-03-27 W. Bentz , I. C. Cloët , T. Ito , A. W. Thomas , K. Yazaki

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

We comment on the uniqueness of t-evolution$(t=log(Q^2/\Lambda^2))$ of non-singlet structure functions at low x obtained fromDGLAP equations.

High Energy Physics - Phenomenology · Physics 2007-05-23 D K Choudhury , Atri Deshamukhya

We review the recent theoretical progress in the construction and solution of the evolution equations which govern the scale dependence for the twist-three structure and fragmentation functions of the nucleon.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Belitsky

We present the first next-to-next-to-next-to-leading order (N$^3$LO) calculation of the twist-2 matching coefficients for transverse momentum dependent (TMD) quark transversity parton distribution and fragmentation functions in QCD. This…

High Energy Physics - Phenomenology · Physics 2026-02-03 Yu Jiao Zhu

We explore the application of a two-component model of proton structure functions in the analysis of deep-inelastic scattering (DIS) data at low $Q^2$ and small $x$. This model incorporates both vector meson dominance and the correct…

High Energy Physics - Phenomenology · Physics 2019-11-21 X. G. Wang , A. W. Thomas

We discuss the relations between the twist 2 and twist 3 contributions to polarized deep-inelastic scattering structure functions both for neutral and charged current interactions which are predicted by the operator product expansion in…

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

We formulate the momentum-space Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for structure functions measurable in deeply inelastic scattering. We construct a six-dimensional basis of structure functions that…

High Energy Physics - Phenomenology · Physics 2025-01-20 Tuomas Lappi , Heikki Mäntysaari , Hannu Paukkunen , Mirja Tevio

We have investigated skewed parton distributions in coordinate space. We found that their evolution can be described in a simple manner in terms of non-local, conformal operators introduced by Balitsky and Braun. The resulting formula is…

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

Theoretical expectations concerning small $x$ behaviour of the spin dependent structure function $g_1$ are summarised. This includes discussion of the Regge pole model predictions and of the double $ln^2(1/x)$ effects implied by…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski

The non-singlet and singlet anomalous dimensions of the twist--2 light-ray operators for unpolarized and polarized deep inelastic scattering are calculated in $O(\alpha_s)$. We apply these results for the derivation of evolution equations…

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

The factorization theorem for $q_T$ spectra in Drell-Yan processes, boson production and semi-inclusive deep inelastic scattering allows for the determination of the non-perturbative parts of transverse momentum dependent parton…

High Energy Physics - Phenomenology · Physics 2015-06-23 Umberto D'Alesio , Miguel G. Echevarría , Stefano Melis , Ignazio Scimemi

We study the contribution of the twist-3 fragmentation function to the single transverse-spin asymmetry in SIDIS within the framework of the collinear factorization. Using the Ward-Takahashi identity in QCD, we establish the collinear…

High Energy Physics - Phenomenology · Physics 2013-07-02 Koichi Kanazawa , Yuji Koike

$Q^2$ evolution of the structure functions $F_2$ in tin and carbon nuclei is investigated in order to understand recent NMC measurements. $F_2$ is evolved by using leading-order DGLAP, next-to-leading-order DGLAP, and parton-recombination…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. Kumano , M. Miyama

We clarify the nonperturbative origin of the $\delta$-function singularity at $x = 0$ in the chiral-odd twist-3 distribution function $e(x)$ of the nucleon. We also compare a theoretical prediction for $e(x)$ based on the chiral quark…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Wakamatsu , Y. Ohnishi