Sudakov double logs in single-inclusive hadron production in DIS at small $x$ from the Color Glass Condensate formalism

TL;DR

This paper analyzes the high virtuality limit of single-inclusive hadron production in deep inelastic scattering at small x using the Color Glass Condensate formalism, focusing on Sudakov double logarithms and their compatibility with TMD factorization.

Contribution

It derives the Sudakov double logarithms in the CGC formalism at next-to-leading order and discusses the kinematic constraints needed for consistency with TMD factorization.

Findings

Identifies Sudakov double logarithms in the CGC framework.

Shows the necessity of kinematic constraints for CGC and TMD compatibility.

Highlights the importance of the high Q^2 limit in small-x DIS processes.

Abstract

We investigate the high $Q^2$ (photon virtuality) limit of single-inclusive hadron production in DIS (SIDIS) at small $x$, using the color glass condensate formalism at next-to-leading order. We focus on the $\Lambda_{QCD}^2 \ll \mathbf{p}_h^2 \ll Q^2$ kinematic regime where $\mathbf{p}_h$ is the produced hadron transverse momentum, and extract the Sudakov double logarithms. We further argue that compatibility between the CGC calculation and TMD factorization at one-loop order can only be achieved if the small-x evolution is kinematically constrained.