Infrared renormalon effects in color dipole TMD PDF at small-$x$

TL;DR

This paper investigates how infrared renormalons affect the color dipole gluon distribution at small-$x$, revealing that saturation effects significantly alter the estimated uncertainties in the distribution.

Contribution

It demonstrates that non-linear saturation effects shift the IR pole, changing the estimated uncertainty from order \\Lambda_{QCD}^4 to \\Lambda_{QCD}^2, providing new insights into small-$x$ gluon distributions.

Findings

Saturation effects shift the IR pole from 2/β₂ to 1/β₂.

Uncertainty in the gluon distribution is of order Λ_{QCD}^2.

Infrared renormalon effects are significant in small-$x$ physics.

Abstract

The uncertainties from the infrared renormalons in the (color dipole) gluon distribution is estimated. It is shown that non-linear saturation effects at small-$x$ shift the first IR pole at the Borel plane from $2/\beta_2$ to $1/\beta_2$. As a consequence the estimated uncertainty is found to be ${\cal O}\left(\Lambda_{\rm QCD}^2\right)$ instead of ${\cal O}\left(\Lambda_{\rm QCD}^4\right)$.