Sub-femtometer scale color charge correlations in the proton

Abstract

Color charge correlations in the proton at moderately small $x\sim 0.1$ are extracted from its light-cone wave function. The charge fluctuations are far from Gaussian and they exhibit interesting dependence on impact parameter and on the relative transverse momentum (or distance) of the gluon probes. We provide initial conditions for small-$x$ Balitsky-Kovchegov evolution of the dipole scattering amplitude with impact parameter and $\hat{r}\cdot \hat{b}$ dependence, and with non-zero $C$-odd component due to three-gluon exchange. Lastly, we compute the (forward) Weizsaecker-Williams gluon distributions, including the distribution of linearly polarized gluons, up to fourth order in $A^{+}$. The correction due to the quartic correlator provides a transverse momentum scale, $q>0.5$ GeV, for nearly maximal polarization.

19 pages, 10 figures; tables of dipole scattering amplitude via two- and three-gluon exchange are available as ancillary files

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Cited by in corpus (13)

• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Mining for Gluon Saturation at Colliders
• Sub-femtometer scale color charge fluctuations in a proton made of three quarks and a gluon
• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Quark and gluon entanglement in the proton on the light cone at intermediate $x$
• Exclusive ${\eta }_c$ production from small-$x$ evolved Odderon at a electron-ion collider
• 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
• First Saturation Correction in High Energy Proton-Nucleus Collisions: II. Single Inclusive Semi-Hard Gluon Production
• First saturation correction in high energy proton-nucleus collisions: Part III. Ensemble averaging
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference
• Off forward non-SCHC contributions to exclusive vector quarkonium production from the "spin dependent BFKL Pomeron"