Contribution of Twist-3 Multi-Gluon Correlation Functions to Single Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering

Abstract

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 complete set of the relevant three-gluon correlation functions, and then derive its contribution to the twist-3 single-spin-dependent cross section for the $D$-meson production in semi-inclusive deep inelastic scattering, which is relevant to determine the three-gluon correlations. Our cross-section formula differs from the corresponding result in the literature, and the origin of the discrepancy is clarified.

29 pages, 3 figures minor corrections; version to appear in Phys. Rev. D

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• Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order
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• Three-gluon contribution to the single spin asymmetry in Drell-Yan and direct-photon processes
• Feasibility Studies for Single Transverse-Spin Asymmetry Measurements at a Fixed-Target Experiment Using the LHC Proton and Lead Beams (AFTER@LHC)
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• Single transverse-spin asymmetry for direct-photon and single-jet productions at RHIC
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• Transverse Polarization of Hyperons Produced in Semi-Inclusive Deep Inelastic Scattering
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• Twist-3 fragmentation effects for $A_{LT}$ in light hadron production from proton-proton collisions
• New approach to the Sivers effect in the collinear twist-3 formalism
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• Single Transverse-Spin Asymmetry in Large $P_T$ Open Charm Production at an Electron-Ion Collider
• Collinear Factorization for Single Transverse-Spin Asymmetry in Drell-Yan Processes
• The transverse nucleon single-spin asymmetry for the semi-inclusive production of photons in lepton-nucleon scattering
• The twist-3 gluon contribution to Sivers asymmetry in $J/\psi$ production in semi-inclusive deep inelastic scattering
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• Azimuthal Dependence of DIS with Spin-1 Target
• Single spin asymmetries in ultra-peripheral $p^{\uparrow }A$ collisions
• Reformulation of the twist-3 gluon Sivers effect toward the application to the heavy quarkonium production
• Probing the twist-3 multi-gluon correlation functions by pp \to DX
• Single-Transverse-Spin-Asymmetry studies with a fixed-target experiment using the LHC beams (AFTER@LHC)
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• Transverse Single-Spin Asymmetries of Midrapidity Direct Photons, Neutral Pions, and Eta Mesons in 200 GeV Polarized Proton-Proton Collisions at PHENIX