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Related papers: On a possible node in the Sivers and Qiu-Sterman f…

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It is argued that the definition of the twist-3 transverse momentum dependent correlation functions must be modified if they contain light-like Wilson lines. In the framework of a simple spectator model of the nucleon we show explicitly the…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. P. Gamberg , D. S. Hwang , A. Metz , M. Schlegel

We review the theory of polarized structure functions measured in deep-inelastic lepton-nucleon scattering, focusing on the most recent developments. We concentrate on the structure function $g_1$, emphasizing the phenomenological problems…

High Energy Physics - Phenomenology · Physics 2009-09-25 Stefano Forte

It is shown that in the special infinite momentum frame where photon has pure transverse components at $P\rightarrow\infty$ the spin-dependent deep inelastic structure function $ g_{2}(x)$ has a reasonable interpretation in terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. L. Ter-Isaakyan

The recent high statistics NMC data on the Tin to Carbon structure function ratio seems to indicate, for the first time, a significant $Q^2$ dependence, especially at small values of Bjorken $x$, $x < 0.05$, and $Q^2 > 1 GeV^2$. Pure…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Indumathi

We study the Sivers asymmetry in semi-inclusive hadron production in deep inelastic scattering. We concentrate on the contribution from the photon-gluon fusion channel at ${\cal O}(\alpha_{em}^2 \alpha_s)$, where three-gluon correlation…

High Energy Physics - Phenomenology · Physics 2016-01-20 Ling-Yun Dai , Zhong-Bo Kang , Alexei Prokudin , Ivan Vitev

The first moment the chirality-odd twist-3 parton distribution $e(x)$ is related to the pion-nucleon $\sigma$-term which is important for phenomenology. However, the possible existence of a singular contribution proportional to $\delta(x)$…

High Energy Physics - Phenomenology · Physics 2020-12-01 J. P. Ma , G. P. Zhang

The spin-dependent structure functions $g_1(x)$, $g_2(x)$, ${g}_2^{WW}(x)$ and ${\bar g}_2(x)$ and their moments are studied in the CM bag model. The results show that (i) $\int_0^1g_2(x)dx=0$, i.e. the Burkhardt-Cottingham sum rule holds,…

High Energy Physics - Phenomenology · Physics 2014-11-17 X. Song

Transverse momentum-dependent parton distribution functions (TMDs) provide three-dimensional imaging of the nucleon in the momentum space. With its fundamental importance in understanding the spin structure of the nucleon, the precise…

High Energy Physics - Phenomenology · Physics 2024-03-11 Chunhua Zeng , Tianbo Liu , Peng Sun , Yuxiang Zhao

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

The generalized Gerasimov-Drell-Hearn (GDH) sum rule is known to be very sensitive to QCD radiative and power corrections. We improve the previously developed QCD-inspired model for the $Q^2$-dependence of the GDH sum rule. We take into…

High Energy Physics - Phenomenology · Physics 2010-10-27 Roman Pasechnik , Jacques Soffer , Oleg Teryaev

We review the current status and future prospect for probing the transverse momentum dependent (TMD) parton distributions using the Drell-Yan process. We focus on the Boer-Mulders and Sivers functions, which are expected to undergo a…

High Energy Physics - Phenomenology · Physics 2015-06-23 Jen-Chieh Peng

An intriguing correspondence between ingredients in geometric function theory related to the famous Bieberbach conjecture (de Branges' theorem) and the non-perturbative crossing symmetric representation of 2-2 scattering amplitudes of…

High Energy Physics - Theory · Physics 2021-07-09 Parthiv Haldar , Aninda Sinha , Ahmadullah Zahed

Non-leading contribution to the pion electromagnetic form factor which comes from the pion twist-3 wave function is analyzed in the modified hard scattering approach (MHSA) proposed by Li and Sterman. This contribution is enhanced…

High Energy Physics - Phenomenology · Physics 2009-08-25 Fu-Guang Cao , Yuan-Ben Dai , Chao-Shang Huang

We analyze $x_F$ dependence of Drell-Yan transverse momentum broadening in hadron-nucleus collisions. In terms of generalized factorization theorem, we show that the $x_F$ dependence of transverse momentum broadening, $ \Delta < q_T^2 >…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiaofeng Guo , Xiaofei Zhang , Wei Zhu

We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in spin-$\frac{1}{2}$ and spin-0 hadrons. We derive exact non-perturbative identities decomposing the…

High Energy Physics - Phenomenology · Physics 2024-08-21 Yoshitaka Hatta , Jakob Schoenleber

Sum rules for twist-3 distributions are reexamined. Integral relations between twist-3 and twist-2 parton distributions suggest the possibility for a $\delta$-function at $x=0$. We confirm and clarify this result by constructing $h_L$ and…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Burkardt , Y. Koike

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

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

By means of a well-grounded mapping scheme linking Schwinger unitary operators and generators of the special unitary group $\mathrm{SU(N)}$, it is possible to establish a self-consistent theoretical framework for finite-dimensional discrete…

Quantum Physics · Physics 2019-08-20 Marcelo A. Marchiolli , Diogenes Galetti

An $N$-dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present. We exhibit the exact solution based on the generalized…

Statistical Mechanics · Physics 2009-11-07 L. C. Malacarne , R. S. Mendes , I. T. Pedron , E. K. Lenzi

We present results of a perturbative QCD analysis of deep inelastic measurements of both the deuteron and proton structure functions. We evaluate the theoretical uncertainty associated to nuclear effects in the deuteron, and we extract…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. I. Alekhin , S. A. Kulagin , S. Liuti