JIMWLK evolution of the odderon

Abstract

We study the effects of a parity-odd “odderon” correlation in Jalilian-Marian–Iancu–McLerran– Weigert–Leonidov–Kovner renormalization group evolution at high energy. Firstly we show that in the eikonal picture where the scattering is described by Wilson lines, one obtains a strict mathematical upper limit for the magnitude of the odderon amplitude compared to the parity-even Pomeron one. This limit increases with Nc, approaching infinity in the infinite Nc limit. We use a systematic extension of the Gaussian approximation including both two- and three-point correlations which enables us to close the system of equations even at finite Nc. In the large-Nc limit we recover an evolution equation derived earlier. By solving this equation numerically we confirm that the odderon amplitude decreases faster in the nonlinear case than in the linear Balitsky-Fadin-Kuraev-Lipatov limit. We also point out that, in the threepoint truncation at finite Nc, the presence of an odderon component introduces azimuthal angular correlations ∼ cosðnφÞ at all n in the target color field. These correlations could potentially have an effect on future studies of multiparticle angular correlations.