One-Loop Corrections to Dihadron Production in DIS at Small $x$

TL;DR

This paper computes one-loop corrections to dihadron production in DIS at small x within the Color Glass Condensate framework, ensuring a finite cross section suitable for future EIC phenomenology.

Contribution

It introduces a comprehensive calculation of one-loop corrections in DIS dihadron production, incorporating JIMWLK evolution and handling divergences for the first time.

Findings

All UV and soft divergences cancel out.

Collinear divergences are absorbed into fragmentation functions.

The resulting cross section is finite and ready for phenomenological applications.

Abstract

We calculate the one-loop corrections to dihadron production in Deep Inelastic Scattering (DIS) at small x using the Color Glass Condensate formalism. We show that all UV and soft singularities cancel while the collinear divergences are absorbed into quark and anti quark-hadron fragmentation functions. Rapidity divergences lead to JIMWLK evolution of dipoles and quadrupoles describing multiple-scatterings of the quark anti-quark dipole on the target proton/nucleus. The resulting cross section is finite and can be used for phenomenological studies of dihadron angular correlations at small x in a future Electron-Ion Collider (EIC).