Twist decomposition of non-linear effects in the Balitsky-Kovchegov evolution

3 May 2022, 18:10
20m
Parallel talk WG2: Small-x, Diffraction and Vector Mesons WG2: Small-x, Diffraction and Vector Mesons

Speaker

Leszek Motyka

Description

We investigate the impact of the Balitsky-Kovchegov (BK) non-linear corrections on the initial conditions and evolution of twist components of the DIS cross-section at small x. The twist decomposition of the BK-driven DIS cross-section is performed in the Mellin space. Three main contributions are found that may be interpreted in the OPE framework as: 1) a modification of the input for DGLAP evolution of the leading twist with respect to that from a linear small x evolution, 2) emergence of higher twist contributions driven by the BK nonlinearity, and 3) a non-linear correction to the DGLAP evolution. We perform numerical evaluation of these effects at the leading twist and higher twists in the proton, and find that the dominant BK effects appear at the leading twist. The results have implications for estimates of higher twist corrections in structure functions of the proton and of nuclei at small x.

Submitted on behalf of a Collaboration? No

Authors

Leszek Motyka Mariusz Sadzikowski (Jagiellonian University)

Presentation materials