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Related papers: The chirally-odd twist-3 distribution e(x)

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We present the numerical solution of the one-loop QCD evolution equation for the genuine twist-three part of the orbital angular momentum (OAM) distributions of quarks and gluons inside a longitudinally polarized nucleon. This is based on…

High Energy Physics - Phenomenology · Physics 2019-09-30 Yoshitaka Hatta , Xiaojun Yao

This manuscript presents the new analysis of recent CLAS and CLAS12 data aimed at the extraction of $e(x)$. This publication benefits from a proof-of-principle analysis of a smaller preliminary data set published in a preprint form in…

High Energy Physics - Phenomenology · Physics 2022-08-17 Aurore Courtoy , Angel Miramontes , Harut Avakian , Marco Mirazita , Silvia Pisano

Motivated by the recent work on the calculation of the $\pi NN$ coupling constant using QCD sum rule beyond the chiral limit, we construct the corresponding sum rules for the couplings, $\eta NN$, $\pi \Xi\Xi$, $\eta \Xi\Xi$, $\pi \Sigma…

Nuclear Theory · Physics 2016-09-08 Hungchong Kim , Takumi Doi , Makoto Oka , Su Houng Lee , -

We calculate the QCD moments of the pion structure function using Drell-Yan data on the quark distributions in the pion and a phenomenological model for the resonance region. The extracted higher twist corrections are found to be larger…

High Energy Physics - Phenomenology · Physics 2014-11-17 W. Melnitchouk

The pion-nucleon and kaon-nucleon scattering lengths are studied in the QCD sum rule. We show that the leading and next-to-leading order terms of the OPE give rise to the Tomozawa-Weinberg and sigma terms, respectively. We also show that in…

Nuclear Theory · Physics 2008-11-26 Y. Kondo , O. Morimatsu , Y. Nishino

The spin-structure functions $g_1$ and $g_2$, and the spin-dependent partial cross-section $\sigma_\mathrm{TT}$ have been extracted from the polarized cross-sections differences, $\Delta…

Using QCD perturbation theory in NLO and light-cone QCD sum rules, we extract from the CLEO experimental data on the F^{\gamma^*\gamma\pi}(Q^{2} transition form factor constraints on the Gegenbauer coefficients a_2 and a_4, as well as on…

High Energy Physics - Phenomenology · Physics 2014-11-17 Alexander P. Bakulev , S. V. Mikhailov , N. G. Stefanis

We point out that the kinematical twist-3 contributions to the DVCS amplitude, required to restore electromagnetic gauge invariance of the twist-2 amplitude up to O(t/q^2), can be understood as a spin rotation applied to the twist-2 quark…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Radyushkin , C. Weiss

We present an in-depth analysis of transverse momentum dependent (TMD) distributions of twist-three. In particular, we focus on evolution equations, symmetry relations, parameterization, interpretation, small-b asymptotic behaviour and the…

High Energy Physics - Phenomenology · Physics 2025-01-15 Simone Rodini , Alexey Vladimirov

We combine the constraints on the pion quark structure available from perturbative QCD, nonperturbative QCD (nonlocal QCD sum rules and light cone sum rules) with the analysis of current data on F_{\pi\gamma\gamma^*}(Q^2), including recent…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. P. Bakulev , S. V. Mikhailov , N. G. Stefanis

Perturbative matching relates the parton quasi-distributions, defined by Euclidean correlators at finite hadron momenta, to the light-cone distributions which are accessible in experiments. Previous matching calculations have exclusively…

High Energy Physics - Phenomenology · Physics 2023-07-14 Shohini Bhattacharya , Krzysztof Cichy , Martha Constantinou , Andreas Metz , Aurora Scapellato , Fernanda Steffens

As one of the simplest hadronic processes, $\gamma\gamma\rightarrow M^{+}M^{-}$ ($M=\pi,K$) could be a good testing ground for our understanding of the perturbative and nonperturbative structure of QCD, and will be studied with high…

High Energy Physics - Phenomenology · Physics 2019-10-02 Cong Wang , Jun-Kang He , Ming-Zhen Zhou

We compute the neutron-neutron relative-energy distribution of the triton following the hard knockout of the proton in pionless effective field theory. This distribution can be used to study universality as well as to obtain information on…

Nuclear Theory · Physics 2025-05-28 Tanja Kirchner , Matthias Göbel , Hans-Werner Hammer

In a spin-1 hadron, tensor-polarized parton distribution functions (PDFs) exist. The twist-2 function is $f_{1LL}$ and a twist-3 one is $f_{LT}$. Because an experiment is under preparation at the Thomas Jefferson National Accelerator…

High Energy Physics - Phenomenology · Physics 2026-05-04 S. Kumano , Kenshi Kuroki

The complete spin structure of the pion-nucleon-loop contribution to the delta self-energy and dressed propagator is calculated in vacuum, with the most general form of the pion-nucleon-delta vertex. The imaginary parts of the ten…

High Energy Physics - Phenomenology · Physics 2022-02-23 C. L. Korpa

We derive a new twist-3 partonic sum rule for the transverse spin of the proton, which involves the well-know quark spin structure function $g_T(x)=g_1(x)+g_2(x)$, the less-studied but known transverse gluon polarization density $\Delta…

High Energy Physics - Phenomenology · Physics 2021-06-30 Yuxun Guo , Xiangdong Ji , Kyle Shiells

We test stability against probabilistic evolution of sum rules for transverse-momentum-dependent distribution and fragmentation functions. We find that preservation of the Burkardt sum rule for Sivers distribution functions is similar to…

High Energy Physics - Phenomenology · Physics 2014-10-21 Philip G. Ratcliffe , Oleg V. Teryaev

The quark condensate in nuclear matter contains a term of order $\rho m_\pi$, arising from the contribution of low-momentum virtual pions to the $\pi N$ sigma commutator. Standard treatments of QCD sum rules for a nucleon in matter generate…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael C. Birse , Boris Krippa

The theoretical predictions are given for the forward limit of the unpolarized spin-flip isovector generalized parton distribution function $(E^u - E^d)(x, \xi, t)$ within the framework of the chiral quark soliton model, with full inclusion…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Wakamatsu , H. Tsujimoto

The determination of twist-4 corrections to the structure functions of polarized $e(\mu)N$ scattering by QCD sum rules is reviewed and critically analyzed. It is found that in the case of the Bjorken sum rule the twist-4 correction is small…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe