Master Formula for the Three-Gluon Contribution to Single Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering

Abstract

We derive a "master formula" for the contribution of the three-gluon correlation function in the nucleon to the twist-3 single-spin-dependent cross section for semi-inclusive deep-inelastic scattering, ep^\uparrow\to eDX. This is an extension of the similar formula known for the so-called soft-gluon-pole contribution induced by the quark-gluon correlation function in a variety of processes. Our master formula reduces the relevant interfering partonic subprocess with the participation of the three gluons to the Born cross sections for the γ^*g\to c\bar{c} scattering, which reveals the new structure behind the twist-3 single spin asymmetry and simplifies the actual calculation greatly. A possible extension to higher order corrections is also discussed.

23 pages, 4 figures. Final version to appear in Phys. Rev. D. Presentation changed slightly

References in corpus (24)

• Single Transverse-Spin Asymmetries in Hadronic Pion Production
• A Unified Picture for Single Transverse-Spin Asymmetries in Hard Processes
• Single transverse-spin asymmetry in high transverse momentum pion production in pp collisions
• Twist-3 Formalism for Single Transverse Spin Asymmetry Reexamined: Semi-Inclusive Deep Inelastic Scattering
• Chiral-Odd Contribution to Single-Transverse Spin Asymmetry in Hadronic Pion Production
• Scale dependence of twist-three contributions to single spin asymmetries
• Single Transverse-Spin Asymmetry in Drell-Yan Production at Large and Moderate Transverse Momentum
• Single-Transverse Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Collins Fragmentation and the Single Transverse Spin Asymmetry
• Single Transverse Spin Asymmetry for Large-p_T Pion Production in Semi-Inclusive Deep Inelastic Scattering
• Contribution of Twist-3 Multi-Gluon Correlation Functions to Single Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Twist-three Fragmentation Function Contribution to the Single Spin Asymmetry in pp Collisions
• Soft-fermion-pole contribution to single-spin asymmetry for pion production in pp collisions
• Universal Structure of Twist-3 Soft-Gluon-Pole Cross Sections for Single Transverse-Spin Asymmetry
• Estimate of a Chiral-Odd Contribution to Single Transverse-Spin Asymmetry in Hadronic Pion Production
• Single transverse-spin asymmetry for $D$-meson production in semi-inclusive deep inelastic scattering
• Master Formula for Twist-3 Soft-Gluon-Pole Mechanism to Single Transverse-Spin Asymmetry
• Polarization in Hadronic ΛHyperon Production and Chiral-Odd Twist-3 Distribution
• New Analysis of the Single Transverse-Spin Asymmetry for Hadron Production at RHIC
• Probing the three-gluon correlation functions by the single spin asymmetry in p^\uparrow p\to DX
• Novel Master Formula for Twist-3 Soft-Gluon-Pole Mechanism to Single Transverse-Spin Asymmetry
• The Singlet g_2 Structure Function in the Next-to-Leading Order
• Single Spin Asymmetries in Heavy Quark and Antiquark Productions
• Theoretical Update of Twist-3 Single-Spin Asymmetry in Semi-Inclusive DIS

Cited by in corpus (23)

• 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
• Contribution of twist-3 fragmentation function to single transverse-spin asymmetry in semi-inclusive deep inelastic scattering
• Probing the three-gluon correlation functions by the single spin asymmetry in p^\uparrow p\to DX
• Three-gluon contribution to the single spin asymmetry for light hadron production in pp collision
• Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order
• Three-gluon contribution to the single spin asymmetry in Drell-Yan and direct-photon processes
• Transverse single-spin asymmetries in $p^{\uparrow }p\to \gamma X$ from quark-gluon-quark correlations in the proton
• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• Single Spin Asymmetry in Forward $pA$ Collisions
• 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
• New pole contribution to $P_{h\perp }$-weighted single-transverse spin asymmetry in semi-inclusive deep inelastic scattering
• Hard- and soft-fermion-pole contributions to single transverse-spin asymmetry for Drell-Yan process
• Single spin asymmetry in forward $pA$ collisions: Phenomenology at RHIC
• The $g_T(x)$ contribution to single spin asymmetries in SIDIS
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• One-Loop Corrections of Single Spin Asymmetries in Semi-Inclusive DIS
• Transverse Polarization of Hyperons Produced in Semi-Inclusive Deep Inelastic Scattering
• 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
• Azimuthal asymmetries in $D$-meson and jet production at the EIC
• Reformulation of the twist-3 gluon Sivers effect toward the application to the heavy quarkonium production