Three-gluon contribution to the single spin asymmetry in Drell-Yan and direct-photon processes

Abstract

We derive the single-spin-dependent cross section for the Drell-Yan lepton-pair production and the direct-photon production in the $pp$-collision induced by the twist-3 three-gluon correlation functions in the transversely polarized nucleon in the leading order with respect to the QCD coupling constant. Combined with the contribution from the twist-3 quark-gluon correlation functions in the literature, this completes the twist-3 cross section for these processes. We also present a model calculation of the asymmetry for the direct photon production at the RHIC energy, demonstrating the sensitivity of the asymmetry to the form of the three-gluon correlation functions. In particular, we show that the asymmetry in the backward direction of the polarized nucleon is determined by the small-$x$ behavior of the correlation functions.

15 pages, 3 figures

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Cited by in corpus (25)

• Fragmentation contribution to the transverse single-spin asymmetry in proton-proton collisions
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• Transverse single spin asymmetries at small x and the anomalous magnetic moment
• Contribution of twist-3 fragmentation function to single transverse-spin asymmetry in semi-inclusive deep inelastic scattering
• Three-gluon contribution to the single spin asymmetry for light hadron production in pp collision
• Phenomenological constraints on $A_N$ in $p^{\uparrow }p\to \pi X$ from Lorentz invariance relations
• Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order
• Transverse single spin asymmetry in hadronic ${\eta }_{c,b}$ production
• Single transverse spin asymmetry of prompt photon production
• Polarized hyperon production in single-inclusive electron-positron annihilation at next-to-leading order
• Transverse single-spin asymmetries in $p^{\uparrow }p\to \gamma X$ from quark-gluon-quark correlations in the proton
• The spin dependent odderon in the diquark model
• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• Single transverse-spin asymmetry for direct-photon and single-jet productions at RHIC
• Hyperon polarization from the twist-3 distribution in the unpolarized proton-proton collision
• Transverse spin observables in hard-scattering hadronic processes within collinear factorization
• Probing gluon spin-momentum correlations in transversely polarized protons through midrapidity isolated direct photons in $p^{\uparrow }+p$ collisions at $\sqrt{s}=200$ GeV
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• Twist-3 Gluon Fragmentation Contribution to Polarized Hyperon Production in Unpolarized Proton-Proton Collision
• New approach to the Sivers effect in the collinear twist-3 formalism
• Single Transverse-Spin Asymmetry in Large $P_T$ Open Charm Production at an Electron-Ion Collider
• Transverse single-spin asymmetries in proton-proton collisions at the AFTER@LHC experiment
• Transverse Nucleon Single-Spin Asymmetry for Single-Inclusive Hadron and Jet Production at NLO Accuracy
• Reformulation of the twist-3 gluon Sivers effect toward the application to the heavy quarkonium production
• Transverse Single-Spin Asymmetries of Midrapidity Direct Photons, Neutral Pions, and Eta Mesons in 200 GeV Polarized Proton-Proton Collisions at PHENIX