Towards Precision Gluon Densities at Small $x$: From Resummation to Collider Observables

TL;DR

This paper discusses recent theoretical advances in resumming small-$x$ logarithms to improve the precision of gluon density determinations, which are crucial for accurate collider predictions at the LHC and future colliders.

Contribution

It introduces new resummation techniques for small-$x$ gluon distributions and explores their implications for collider observables and unintegrated gluon densities.

Findings

Enhanced resummation methods for small-$x$ gluon densities.

Improved understanding of gluon-proton spin correlations.

Development of unintegrated gluon densities from resummed dynamics.

Abstract

Accurate gluon densities at small $x$ are essential for reducing theoretical uncertainties in collider predictions, yet remain one of the least constrained ingredients in global analyses. We report recent advances in the resummation of small-$x$ logarithms in the gluon sector, focusing on collinear distributions and their interplay with transverse-momentum-dependent formulations. Particular attention is paid to the impact of gluon-proton spin correlations and to the emergence of unintegrated gluon densities derived from resummed dynamics. These developments aim to fill the current precision gap in the small-$x$ region and enable robust applications to LHC and future-collider observables.