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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• 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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• Master Formula for the Three-Gluon Contribution to Single Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
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• Sea quark Sivers distribution
• The spin dependent odderon in the diquark model
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• Double-spin asymmetry $A_{LT}$ in open charm production
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• New pole contribution to $P_{h\perp }$-weighted single-transverse spin asymmetry in semi-inclusive deep inelastic scattering
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• A note on the scale dependence of the Burkardt sum rule
• One-Loop Corrections of Single Spin Asymmetries in Semi-Inclusive DIS
• Transverse Polarization of Hyperons Produced in Semi-Inclusive Deep Inelastic Scattering
• Twist-3 effect from the longitudinally polarized proton for $A_{LT}$ in hadron production from $pp$ collisions
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• New approach to the Sivers effect in the collinear twist-3 formalism
• Matching of Fracture Functions for SIDIS in Target Fragmentation Region
• Single Transverse-Spin Asymmetry in Large $P_T$ Open Charm Production at an Electron-Ion Collider
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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)
• On the contribution of twist-3 multi-gluon correlation functions to single transverse-spin asymmetry in SIDIS
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