Fine structure of spectrum of twist-three operators in QCD

TL;DR

This paper investigates the detailed spectrum of twist-three operators in QCD, revealing their integrable structure and providing insights into multiparton correlations affecting hadronic processes.

Contribution

It uncovers the integrability of the Hamiltonian governing twist-three operators, enabling exact solutions for their anomalous dimensions in the multicolour limit.

Findings

Identification of a non-trivial integral of motion

Exact integrability of the three-particle system

Application of quasiclassical expansion to solve the spectrum

Abstract

We unravel the structure of the spectrum of the anomalous dimensions of the quark-gluon twist-3 operators which are responsible for the multiparton correlations in hadrons and enter as a leading contribution to several physical cross sections. The method of analysis is bases on the recent finding of a non-trivial integral of motion for the corresponding Hamiltonian problem in multicolour limit which results into exact integrability of the three-particle system. Quasiclassical expansion is used for solving the problem. We address the chiral-odd sector as a case of study.