Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons

TL;DR

This paper computes next-to-leading order corrections for dihadron production in small-x DIS with transverse photons, demonstrating the cancellation of divergences and the role of JIMWLK evolution in the process.

Contribution

It extends the NLO calculation of dihadron production in DIS to the case of transverse photons within the Color Glass Condensate framework, including divergence cancellations and evolution effects.

Findings

UV and soft singularities cancel out.

Collinear divergences absorbed into fragmentation functions.

JIMWLK evolution governs multiple scattering effects.

Abstract

We calculate the next to leading order corrections to dihadron production in Deep Inelastic Scattering (DIS) at small x using the Color Glass Condensate formalism for the case when the virtual photon is transverse polarized. Similar to the case of longitudinal photon exchange all UV and soft singularities cancel while the collinear divergences are absorbed into quark and antiquarkhadron fragmentation functions. Rapidity divergences lead to JIMWLK evolution of dipoles and quadrupoles which describe multiple-scatterings of the quark antiquark dipole on the target proton/ nucleus and contain all the QCD dynamics of the target leading to a finite final result for the dihadron production cross section.