Collinear resummations for the non-linear evolution in QCD at high energy
arXiv:2001.08592 · doi:10.1016/j.nuclphysa.2020.121832
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.
arXiv commentPresented at the XXVIIIth International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2019), Wuhan, China
References in corpus (11)
- The Color Glass Condensate
- NLO evolution of color dipoles
- Resumming double logarithms in the QCD evolution of color dipoles
- Collinearly-improved BK evolution meets the HERA data
- Improving the kinematics for low-x QCD evolution equations in coordinate space
- Rapidity evolution of Wilson lines at the next-to-leading order
- Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
- Next-to-leading order Balitsky-Kovchegov equation with resummation
- Non-linear evolution in QCD at high-energy beyond leading order
- NLO JIMWLK evolution unabridged
- HERA data and collinearly-improved BK dynamics