The matrix element in the proton of the eikonal Odderon operator, with a helicity flip, has been shown to correspond to the dipole gluon Sivers function. We employ a three quark light-front model of the proton to determine the Sivers function at moderately small x0∼0.1 and transverse momentum k⊥≲1~GeV. The model light-cone (LC) wave function predicts the properties of xf1T⊥g(x,k⊥) such as its overall magnitude, the position of its peak in k⊥, and its behavior at small k⊥. We then compute numerically the BFKL anomalous dimension characterizing the power-law tail at k⊥≳1.5~GeV of the gluon Sivers function at small LC momentum fractions, αslogx0/x=1: xf1T⊥g(x,k⊥)∼k⊥−3.3.
Cite
@article{arxiv.2603.09630,
title = {The eikonal spin-dependent Odderon and gluon Sivers function of a proton, and its small-$x$ evolution},
author = {Sanjin Benić and Adrian Dumitru and Florian Hechenberger and Tomasz Stebel},
journal= {arXiv preprint arXiv:2603.09630},
year = {2026}
}