Computing the gluon Sivers function at small-$x$

Abstract

We compute the gluon Sivers function $f_{1T}^{\perp g}(x,k_{\perp })$ of the transversely polarized nucleon at small-$x$ by exploiting the known connection between the dipole gluon Sivers function and the Odderon. We numerically solve the evolution equation for the Odderon both in the linear and nonlinear regimes. While we find that the $x$ and $k_{\perp }$ dependences of the Sivers function do not factorize as a result of the quantum evolution, factorization breaking is not numerically significant, and is much milder than what one expects in the case of unpolarized TMDs. We also point out the possibility that, due to the presence of a node in the Sivers function, single spin asymmetry for open charm production in semi-inclusive deep inelastic scattering flips signs as the transverse momentum of D-mesons is varied. This can be tested at the future Electron-Ion Collider.

9 pages, 7 figures; minor changes, accepted in PLB

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• Single transverse-spin asymmetry for $D$-meson production in semi-inclusive deep inelastic scattering
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• JIMWLK evolution of the odderon
• The spin dependent odderon in the diquark model
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Cited by in corpus (18)

• Transverse-momentum-dependent gluon distribution functions in a spectator model
• Sub-femtometer scale color charge fluctuations in a proton made of three quarks and a gluon
• Probing the Sivers function with an unpolarized target: GTMD distributions and the Odderons
• Spin-dependent Pomeron and Odderon in elastic proton-proton scattering
• Single-spin asymmetries at two loops
• Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
• Sub-femtometer scale color charge correlations in the proton
• Exclusive ${\eta }_c$ production from small-$x$ evolved Odderon at a electron-ion collider
• Energy evolution of T-odd gluon TMDs at small $x$
• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• QCD Odderon: non linear evolution in the leading twist
• Cubic color charge correlator in a proton made of three quarks and a gluon
• Photon-Odderon interference in exclusive ${\chi }_c$ charmonium production at the Electron-Ion Collider
• Stronger $C$-odd color charge correlations in the proton at higher energy
• Spin-flip gluon GTMD $F_{1,2}$ at small-$x$
• A new parton model for the soft interactions at high energies: the Odderon
• Probing the Sivers asymmetries through $J/\psi$ photoproduction in ${\mathrm{p}}^{\uparrow }\mathrm{p}$ collision with forward proton tagging
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference