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Related papers: Exact Relations for Twist-3 Gluon Distribution and…

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We explain a gluon transversity, transverse-momentum-dependent parton distribution functions (TMDs), and parton distribution functions (PDFs) for spin-1 hadrons. The gluon transversity exists in hadrons with spin more than or equal to one,…

High Energy Physics - Phenomenology · Physics 2022-01-14 S. Kumano , Qin-Tao Song

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

We study the single spin asymmetry (SSA) for the pion production in semi-inclusive deep inelastic scattering, $ep^\uparrow\to e\pi X$, in the framework of the collinear factorization. We derive the complete cross section formula associated…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hisato Eguchi , Yuji Koike , Kazuhiro Tanaka

We compute the tree-level and one-loop matching relations for leading power gluon transverse momentum dependent parton distribution functions. At tree-level, working within the spinor formalism, we focus on twist-2 and twist-3…

High Energy Physics - Phenomenology · Physics 2026-05-11 Alessio Carmelo Alvaro , Nanako Kato , Barbara Pasquini , Cristian Pisano , Simone Rodini

We present preliminary results on the leading-twist transverse-momentum-dependent (TMD) gluon linearity function, which is directly connected to nucleon transverse-spin asymmetries originating from the density of linearly-polarized gluons.…

High Energy Physics - Phenomenology · Physics 2022-03-11 Alessandro Bacchetta , Francesco Giovanni Celiberto , Marco Radici

Quarks and gluon, as quantum particles, are subjects to various effects that go beyond the naive parton picture and are not captured by ordinary parton densities. In this work, we investigate the twist-three parton distribution functions,…

High Energy Physics - Phenomenology · Physics 2025-11-07 Alexey Vladimirov , Guillermo Portela , Simone Rodini

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 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

We report on the status of a direct computation of the time-like splitting functions at next-to-next-to-leading order in QCD. Time-like splitting functions govern the collinear kinematics of inclusive hadron production and the evolution of…

High Energy Physics - Phenomenology · Physics 2015-10-28 Oleksandr Gituliar , Sven Moch

We present a model calculation of the T-odd transverse momentum dependent (TMD) gluon fragmentation functions for a spin-1/2 hadron. Our model is based on the postulation that a time-like off-shell gluon can fragment into a hadron and a…

High Energy Physics - Phenomenology · Physics 2024-05-21 Xiupeng Xie , Zhun Lu

We investigate the consistency between the collinear twist-3 factorization and the transverse-momentum-dependent (TMD) factorization for the transversely polarized hyperon production in semi-inclusive deep inelastic scattering, $ep\to…

High Energy Physics - Phenomenology · Physics 2025-12-17 Riku Ikarashi , Yuji Koike , Shinsuke Yoshida

We present the complete results up to twist-3 for hadron production in the target fragmentation region of semi-inclusive deep inelastic scattering with a polarized lepton beam and polarized nucleon target. The nonperturbative effects are…

High Energy Physics - Phenomenology · Physics 2023-11-23 K. B. Chen , J. P. Ma , X. B. Tong

We calculate the one-loop twist-3 gluon contribution to the flavor-singlet structure function g_2(x,Q^2) in polarized deep-inelastic scattering and find that it is dominated by the contribution of the three-gluon operator with the lowest…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. M. Braun , G. P. Korchemsky , A. N. Manashov

Hadron spin physics is now one of the most active fields of physics. Especially in the last ten years, great progress has been made both theoretically and experimentally that has considerably improved our knowledge of the spin structure of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jiro Kodaira , Kazuhiro Tanaka

The collinear factorization at twist-3 for Drell-Yan processes is studied with the motivation to solve the discrepancy in literature about the single spin asymmetry in the lepton angular distribution, and to show how QCD gauge invariance is…

High Energy Physics - Phenomenology · Physics 2015-06-22 J. P. Ma , G. P. Zhang

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 2007-05-23 M. Burkardt , Y. Koike

We carry out the first calculation for the twist-3 gluon contribution to the single transverse-spin asymmetry(SSA) in $J/\psi$ production in semi-inclusive deep inelastic scattering. Our result shows that the $J/\psi$ SSA is an ideal…

High Energy Physics - Phenomenology · Physics 2026-05-28 Longjie Chen , Hongxi Xing , Shinsuke Yoshida

Fracture functions are parton distributions of an initial hadron in the presence of an almost collinear particle observed in the final state. They are important ingredients in QCD factorization for processes where a particle is produced…

High Energy Physics - Phenomenology · Physics 2020-01-08 X. P. Chai , K. B. Chen , J. P. Ma , X. B. Tong

We compute the twist-2 matching of transverse momentum dependent (TMD) helicity parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD. This calculation entails the complete set of…

High Energy Physics - Phenomenology · Physics 2026-02-10 Yu Jiao Zhu

We derive exact relations among the polarized gluon and three-gluon distributions in the transversely polarized nucleon which are relevant to single and double spin asymmetries in various hard processes. We also discuss the partonic…

High Energy Physics - Phenomenology · Physics 2015-06-12 Yoshitaka Hatta , Kazuhiro Tanaka , Shinsuke Yoshida