Contribution of Twist-3 Multi-Gluon Correlation Functions to Single Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
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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.
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Cited by 1 Pith paper
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The twist-3 gluon contribution to $A_N$ in $J/\psi$ production in $pp$ collisions
Only the C-even twist-3 gluon distribution contributes to the J/psi single transverse-spin asymmetry, providing a probe of gluon TMDs with sizable predicted effects at collider energies.
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