Polarized 3 parton production in inclusive DIS at small x

TL;DR

This paper derives a detailed theoretical framework for analyzing azimuthal correlations of three polarized partons produced in deep inelastic scattering at small x, providing insights into gluon structure and NLO corrections.

Contribution

It introduces a new triple differential cross section formula for polarized three-parton production in DIS at small x using the spinor helicity and CGC formalisms.

Findings

Analytic expressions for three-parton production cross sections.

Method to probe gluon structure via azimuthal correlations.

Framework to compute NLO corrections to di-hadron production.

Abstract

Azimuthal angular correlations between produced hadrons/jets in high energy collisions are a sensitive probe of the dynamics of QCD at small x. Here we derive the triple differential cross section for inclusive production of 3 polarized partons in DIS at small x using the spinor helicity formalism. The target proton or nucleus is described using the Color Glass Condensate (CGC) formalism. The resulting expressions are used to study azimuthal angular correlations between produced partons in order to probe the gluon structure of the target hadron or nucleus. Our analytic expressions can also be used to calculate the real part of the Next to Leading Order (NLO) corrections to di-hadron production in DIS by integrating out one of the three final state partons.