The AGL Equation from a Dipole Picture

TL;DR

This paper shows that the AGL equation, which accounts for multiple pomeron exchanges and unitarizes gluon distributions at small x, can be derived from the dipole picture, confirming its validity in the DLA limit.

Contribution

It demonstrates that the AGL equation can be derived from the dipole picture, linking two approaches for small x unitarization in QCD.

Findings

AGL equation includes all multiple pomeron exchanges in DLA.

The AGL equation can be derived from the dipole picture.

Supports AGL as a valid unitarized evolution equation at small x.

Abstract

The AGL equation includes all multiple pomeron exchanges in the double logarithmic approximation (DLA) limit, leading to an unitarized gluon distribution in the small $x$ regime. This equation was originally obtained using the Glauber-Mueller approach. We demonstrate in this contribution that the AGL equation can also be obtained from the dipole picture. Our conclusion is that the AGL equation is a good candidate for an unitarized evolution equation at small $x$ in the DLA limit.