English

Stronger $C$-odd color charge correlations in the proton at higher energy

High Energy Physics - Phenomenology 2025-02-25 v2 Nuclear Theory

Abstract

The non-forward eikonal scattering matrix for dipole-proton scattering at high energy obtains an imaginary part due to a CC-odd three gluon exchange. We present numerical estimates for the perturbative Odderon amplitude as a function of dipole size, impact parameter, their relative azimuthal angle, and light-cone momentum cutoff xx. The proton is approximated as ψqqqqqq+ψqqqgqqqg\psi_\mathrm{qqq}|qqq\rangle + \psi_\mathrm{qqqg}|qqqg\rangle, where ψqqq\psi_\mathrm{qqq} is a non-perturbative three quark model wave function while the gluon emission is computed in light-cone perturbation theory. We find that the Odderon amplitude increases as xx decreases from 0.1 to 0.01. At yet lower xx, the reversal of this energy dependence would reflect the onset of universal small-xx renormalization group evolution.

Keywords

Cite

@article{arxiv.2210.05390,
  title  = {Stronger $C$-odd color charge correlations in the proton at higher energy},
  author = {Adrian Dumitru and Heikki Mäntysaari and Risto Paatelainen},
  journal= {arXiv preprint arXiv:2210.05390},
  year   = {2025}
}

Comments

6 pages, 5 figures. Odderon amplitudes at different momentum fraction x included in the ancillary files. v2: results updated fixing symmetry factors as discussed in the erratum