Universal features of JIMWLK and BK evolution at small x
Kari Rummukainen, Heribert Weigert
Abstract
In this paper we present the results of numerical studies of the JIMWLK and BK equations with a particular emphasis on the universal scaling properties and phase space structure involved. The results are valid for near zero impact parameter in DIS. We demonstrate IR safety due to the occurrence of a rapidity dependent saturation scale Qs(τ). Within the set of initial conditions chosen both JIMWLK and BK equations show remarkable agreement. We point out the crucial importance of running coupling corrections to obtain consistency in the UV. Despite the scale breaking induced by the running coupling we find that evolution drives correlators towards an asymptotic form with near scaling properties. We discuss asymptotic features of the evolution, such as the τ- and A-dependence of Qs away from the initial condition.
Create a lesson
Related papers
The LZ inelastic splitting as a probe of anomaly mediation
Seung J. Lee, Taewook Youn
Precision Tokenization for Multi-Modal Data in High Energy Physics
Jeffrey Krupa, Samuel Klein, Nilotpal Kakati et al.
Complete four-loop pressure of cold QED
Aapeli Kärkkäinen, Pablo Navarrete, Mika Nurmela et al.
Long-Distance Contributions to Light Vector Mesons and Radiative Decays of ηc
Xiao-Yu Qi, Qi Wu, Dian-Yong Chen
Utilizing Neural Networks for Solving Functional Renormalization Group Flow Equations
J. Gurzó, G. Fejős
ALP interactions with mesons and baryons at O(1/fa): a general field redefinition invariant approach
Jorge Alda, Stefano Rigolin