Double transverse spin asymmetry in the $p^{\uparrow }{\bar{p}}^{\uparrow }$ Drell-Yan process from Sivers functions

Abstract

We show that the transverse double spin asymmetry (DSA) in the Drell-Yan process contributed only from the Sivers functions can be picked out by the weighting function $\frac{Q_T}{M^2}(\cos (\varphi -{\varphi }_{S_1})\cos (\varphi -{\varphi }_{S_2})+3\sin (\varphi -{\varphi }_{S_1})\sin (\varphi -{\varphi }_{S_2}))$. The asymmetry is proportional to the product of two Sivers functions from each hadron $f_{1T}^{\perp (1)}\times f_{1T}^{\perp (1)}$. Using two sets of Sivers functions extracted from the semi-inclusive deeply elastic scattering data at HERMES, we estimate this asymmetry in the $p^{\uparrow }{\bar{p}}^{\uparrow }$ Drell-Yan process which is possible to be performed in HESR at GSI. The prediction of DSA in the Drell-Yan process contributed by the function $g_{1T}(x,\Vec k_T^2)$, which can be extracted by the weighting function $\frac{Q_T}{M^2}(3\cos (\varphi -{\varphi }_{S_1})\cos (\varphi -{\varphi }_{S_2})+\sin (\varphi -{\varphi }_{S_1})\sin (\varphi -{\varphi }_{S_2}))$, is also given at GSI.

arXiv comment6 latex pages, 2 figures, to appear in PRD

References in corpus (43)

• Fragmentation of Transversely Polarized Quarks Probed in Transverse Momentum Distributions
• Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
• Time-reversal odd distribution functions in leptoproduction
• Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarized hydrogen target
• Final state interactions and gauge invariant parton distributions
• Universality of T-odd effects in single spin and azimuthal asymmetries
• Transverse Polarisation of Quarks in Hadrons
• Models for the Polarized Parton Distributions of the Nucleon
• NNLO global parton analysis
• Universality of soft and collinear factors in hard-scattering factorization
• QCD Factorization for Spin-Dependent Cross Sections in DIS and Drell-Yan Processes at Low Transverse Momentum
• Initial-State Interactions and Single-Spin Asymmetries in Drell-Yan Processes
• Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
• First Measurement of the Transverse Spin Asymmetries of the Deuteron in Semi-Inclusive Deep Inelastic Scattering
• Investigating the origins of transverse spin asymmetries at RHIC
• New Quark Distributions and Semi-Inclusive Electroproduction on Polarized Nucleons
• The role of Cahn and Sivers effects in Deep Inelastic Scattering
• A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target
• Single spin asymmetry for $p^{\uparrow }p\to \pi X$ in perturbative QCD
• Dynamical Parton Distributions Revisited
• Intrinsic transverse momentum and the polarized Drell-Yan process
• Single-Transverse Spin Asymmetries: From DIS to Hadronic Collisions
• Extracting the Sivers function from polarized SIDIS data and making predictions
• Initial-State Interactions in the Unpolarized Drell-Yan Process
• Sivers effect in semi-inclusive deeply inelastic scattering
• Probing transverse quark polarization via azimuthal asymmetries in leptoproduction
• Non-zero transversity distribution of the pion in a quark-spectator-antiquark model
• Sivers effect in Drell Yan at RHIC
• Longitudinal quark polarization in transversely polarized nucleons
• Predictions for double spin asymmetry A_{LT} in Semi Inclusive DIS
• Quark correlation functions in deep inelastic semi-inclusive processes
• Evolution of transverse momentum dependent distribution and fragmentation functions
• Azimuthal asymmetry in unpolarized $\pi N$ Drell-Yan process
• Double-Spin Transverse Asymmetries in Drell-Yan Processes
• Transverse Double-Spin Asymmetries for Muon Pair Production in pp-Collisions
• Factorisation, Parton Entanglement and the Drell-Yan Process
• Transversity measurements at HERMES
• Flavor separation of the Boer-Mulders function from unpolarized ${\pi }^{-}p$ and ${\pi }^{-}D$ Drell-Yan processes
• Accessing Transversity in Double-Spin Asymmetries at the BNL-RHIC
• Double Transverse-Spin Asymmetries in Drell-Yan Processes with Antiprotons

Cited by in corpus (8)

• Transverse-momentum distributions in a diquark spectator model
• Dilepton production from polarized hadron hadron collisions
• Proposal for measuring new transverse momentum dependent parton distributions $g_{1T}$ and $h_{1L}^{\perp }$ through semi-inclusive deep inelastic scattering
• Color entanglement for azimuthal asymmetries in the Drell-Yan process
• Probing pretzelosity $h_{1T}^{\perp }$ via the polarized proton-antiproton Drell-Yan process
• Three-dimensional parton distribution functions $g_{1T}$ and $h_{1L}^{\perp }$ in the polarized proton-antiproton Drell-Yan process
• Double Sivers effect asymmetries and their impact on transversity measurements at RHIC
• Predictions for the Sivers Single-Spin Asymmetry from Holographic QCD