Color gauge invariance in the Drell-Yan process

Abstract

We consider the color gauge invariance of a factorized description of the Drell-Yan process cross section. In particular, we focus on the next-to-leading twist contributions for polarized scattering and on the cross section differential in the transverse momentum of the lepton pair in the region where the transverse momentum is small compared to the hard scale. The hadron tensor is expressed in terms of manifestly color gauge invariant, nonlocal operator matrix elements and a color gauge invariant treatment of soft gluon poles is given. Also, we clarify the discrepancy between two published results for a single spin asymmetry in the Drell-Yan cross section. This asymmetry arises if such a soft gluon pole is present in a specific twist-three hadronic matrix element.

16 pages, Revtex, 2 Postscript figures, uses aps.sty, epsf.sty; error in revision removed

Cited by in corpus (50)

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• Universality of T-odd effects in single spin and azimuthal asymmetries
• Transverse momentum dependence in gluon distribution and fragmentation functions
• Multiplicities of charged pions and kaons from semi-inclusive deep-inelastic scattering by the proton and the deuteron
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• The Construction of Gauge-Links in Arbitrary Hard Processes
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Bounds on transverse momentum dependent distribution and fragmentation functions
• Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions
• Gauge Link Structure in Quark-Quark Correlators in hard processes
• Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
• Single spin asymmetries in hadron-hadron collisions
• Linearly-polarized small-x gluons in forward heavy-quark pair production
• Non-universality of transverse momentum dependent parton distribution functions
• Azimuthal distributions of charged hadrons, pions, and kaons produced in deep-inelastic scattering off unpolarized protons and deuterons
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• Sudakov suppression in azimuthal spin asymmetries
• Transverse single spin asymmetries in Drell-Yan processes
• Spectral analysis of gluonic pole matrix elements for fragmentation
• Interplay of the CGC and TMD frameworks to all orders in kinematic twist
• A Fixed-Target Programme at the LHC: Physics Case and Projected Performances for Heavy-Ion, Hadron, Spin and Astroparticle Studies
• Evolution of transverse momentum dependent distribution and fragmentation functions
• A model independent analysis of gluonic pole matrix elements and universality of TMD fragmentation functions
• TMD gluon distributions at small x in the CGC theory
• Drell-Yan lepton pair production at high energies in the Parton Reggeization Approach
• Gluon TMDs in quarkonium production
• Single transverse-spin asymmetry in Drell-Yan lepton angular distribution
• Comparison of improved TMD and CGC frameworks in forward quark dijet production
• Double transverse spin asymmetries in vector boson production
• Gauge links for transverse momentum dependent correlators at tree-level
• Directed flow from C-odd gluon correlations at small $x$
• Soft-Gluon-Pole Contribution in Single Transverse-Spin Asymmetries of Drell-Yan Processes
• Transverse momentum dependent twist-three result for polarized Drell-Yan processes
• Transverse single spin asymmetry in the Drell-Yan process
• Probing the transverse spin of quarks in deep inelastic scattering
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering
• Average transverse momentum quantities approaching the lightfront
• Collinear Factorization for Single Transverse-Spin Asymmetry in Drell-Yan Processes
• Gauge Invariance and QCD Twist-3 Factorization for Single Spin Asymmetries
• Gluon TMD studies at EIC
• Spin physics with antiprotons
• Single Transverse-Spin Asymmetries in Drell-Yan Processes
• Single Spin Asymmetry in Lepton Angular Distribution of Drell-Yan Processes
• Q^2 dependence of azimuthal asymmetries in semi-inclusive deep inelastic scattering and in Drell-Yan
• Overview of TMD evolution
• Mapping the internal structure of hadrons through color and spin effects
• Single-Transverse-Spin-Asymmetry studies with a fixed-target experiment using the LHC beams (AFTER@LHC)
• Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron
• Azimuthal and spin asymmetries in DIS