The AGL Equation from the Dipole Picture

TL;DR

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

Contribution

It demonstrates that the AGL and GLR equations can be derived from the dipole picture in the DLA limit, unifying different approaches to small x evolution.

Findings

AGL equation includes all multiple pomeron exchanges in DLA.

AGL equation can be derived from the dipole picture.

Supports AGL as a candidate for unitarized small x evolution.

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 paper that the AGL equation and, consequently, the GLR equation, can also be obtained from the dipole picture in the double logarithmic limit, using an evolution equation, recently proposed, which includes all multiple pomeron exchanges in the leading logarithmic approximation. Our conclusion is that the AGL equation is a good candidate for an unitarized evolution equation at small x in the DLA limit.