General formulae for dipole Wilson line correlators with the Color Glass Condensate

TL;DR

This paper develops general formulae for calculating Wilson line correlators within the Color Glass Condensate framework, providing a systematic expansion in 1/Nc and applying it to flow harmonic calculations.

Contribution

It introduces a complete set of color-singlet bases and a systematic perturbative expansion for dipole Wilson line correlators in the McLerran-Venugopalan model.

Findings

Derived explicit matrix element expressions for Wilson line correlators.

Developed a systematic 1/Nc expansion method.

Applied the framework to compute flow harmonics vn{m} and analyzed N_c scaling.

Abstract

We present general formulae to compute Wilson line correlators with the Color Glass Condensate described by the McLerran-Venugopalan model. We explicitly construct a complete and non-orthogonal set of color-singlet bases and write matrix elements down, so that the exponential of the matrix leads to the Wilson line correlators. We further develop a systematic perturbative expansion of dipole Wilson line correlators in terms of $1/N_c$ where $N_c$ is the color number. As a phenomenological application we calculate the flow harmonics $v_n\{m\}$ in the dipole model and discuss the $N_c$ scaling.