A novel formulation of the unintegrated gluon distribution for DIS

TL;DR

This paper introduces a new factorization formula for inclusive deep inelastic scattering at small x, leading to a novel unintegrated gluon distribution that bridges existing models and incorporates both dipole and gluon PDF features.

Contribution

It presents a new formulation of the unintegrated gluon distribution that unifies different approaches and explicitly depends on the longitudinal momentum fraction x.

Findings

Derived a new factorization formula for DIS at small x

Introduced a unified unintegrated gluon distribution model

Explicitly incorporated dependence on the momentum fraction x

Abstract

In this talk, we revisit inclusive DIS in the small $x$ limit and derive a new factorization formula that accounts for leading powers in both Bjorken and Regge limits. In this semi-classical description, we obtain a new unintegrated gluon distribution which encompasses both the dipole operator and the gluon Parton Distribution Function with an explicit dependence on the longitudinal momentum fraction $x$.