Collinear resummations for the non-linear evolution in QCD at high energy
High Energy Physics - Phenomenology
2021-02-03 v1
Abstract
When computed to next-to-leading order in perturbative QCD, the non-linear Balitsky-Kovchegov (BK) equation for the high-energy evolution of the dipole-hadron scattering appears to be unstable. We show that this instability can be avoided by using the rapidity of the dense hadronic target (instead of that of the dilute dipole projectile) as the evolution time. Using this variable, we construct a collinearly-improved version of the BK equation, where the dominant radiative corrections to the kernel -- those enhanced by double collinear logarithms -- are resummed to all orders.
Cite
@article{arxiv.2001.08592,
title = {Collinear resummations for the non-linear evolution in QCD at high energy},
author = {B. Ducloué and E. Iancu and A. H. Mueller and G. Soyez and D. N. Triantafyllopoulos},
journal= {arXiv preprint arXiv:2001.08592},
year = {2021}
}
Comments
Presented at the XXVIIIth International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2019), Wuhan, China