On Unique Predictions for Single Spin Azimuthal Asymmetry

Abstract

Theoretically there are two approaches to predict single spin azimuthal asymmetries. One is to take transverse momenta of partons into account by using transverse momentum dependent parton distributions, while another is to take asymmetries as a twist-3 effect. The nonperturbative effects in these approaches are parameterized with different matrix elements and predictions can be different. Recently, gauge invariant definitions of transverse momentum dependent parton distributions were derived. With these definitions it can be shown that there are relations between nonperturbative matrix elements in two approaches. These relations may enable us to unify two approaches and to have unique predictions for single spin azimuthal asymmetries.In this letter we derive these relations by using time-reversal symmetry and show that even with these relations the single spin azimuthal asymmetry in Drell-Yan process is predicted differently in different approaches.

Improved representation

References in corpus (4)

• Universality of T-odd effects in single spin and azimuthal asymmetries
• Sivers Function in the MIT Bag Model
• Novel Transversity Properties in Semi-Inclusive Deep Inelastic Scattering
• Lorentz invariance relations among parton distributions revisited

Cited by in corpus (32)

• Relations between generalized and transverse momentum dependent parton distributions
• A Unified Picture for Single Transverse-Spin Asymmetries in Hard Processes
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• An Observation Concerning the Process Dependence of the Sivers Functions
• Single Transverse-Spin Asymmetry in Drell-Yan Production at Large and Moderate Transverse Momentum
• Single-Transverse Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Single transverse-spin asymmetry for $D$-meson production in semi-inclusive deep inelastic scattering
• Single-spin asymmetries in inclusive deep inelastic scattering and multiparton correlations in the nucleon
• Global fitting of single spin asymmetry: an attempt
• Exploring the structure of the proton through polarization observables in l p \to jet X
• Lorentz invariance relations between parton distributions and the Wandzura-Wilczek approximation
• T-odd quark-gluon-quark correlation function in the diquark model
• Gauge invariance, causality and gluonic poles
• Transverse single-spin asymmetries in $p^{\uparrow }p\to \gamma X$ from quark-gluon-quark correlations in the proton
• Transverse spin asymmetries for W-production in proton-proton collisions
• Partonic State and Single Transverse Spin Asymmetry in Drell-Yan Process
• Soft-Gluon-Pole Contribution in Single Transverse-Spin Asymmetries of Drell-Yan Processes
• Single Transverse Spin Asymmetries at Parton Level
• Transverse momentum dependent twist-three result for polarized Drell-Yan processes
• New contributions to gluon poles in direct photon production
• Transverse single spin asymmetry in the Drell-Yan process
• New approach to the Sivers effect in the collinear twist-3 formalism
• Lorentz invariance relations and Wandzura-Wilczek approximation
• Collinear Factorization for Single Transverse-Spin Asymmetry in Drell-Yan Processes
• Non-Universality and Evolution of the Sivers Function
• Gauge Invariance and QCD Twist-3 Factorization for Single Spin Asymmetries
• Q^2 dependence of azimuthal asymmetries in semi-inclusive deep inelastic scattering and in Drell-Yan
• Single Transverse-Spin Asymmetries in Drell-Yan Processes
• Transverse momentum dependent quark distributions and polarized Drell-Yan processes
• Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron
• Gauge invariance and gluon poles for direct photon production
• Hyperon Polarization in Unpolarized Scattering Processes