2025/12/10 by Kovchegov, Yuri V., Santiago, M. Gabriel, Sun, Huachen
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2512.10086
We study the small-x asymptotics of unpolarized generalized parton distributions (GPDs) and generalized transverse momentum distributions (GTMDs). Unlike the previous works in the literature, we consider the case of non-zero (but small) skewness while allowing for non-linear contributions to the evolution equations. We show that unpolarized GPDs and GTMDs at small x are related to the eikonal dipole amplitude N, whose small-x evolution is given by the BK/JIMWLK evolution equations, and to the odderon amplitude \cal O, whose evolution is also known in the literature. We show that the effect of non-zero skewness ξ≠ 0 is to modify the value of the evolution parameter (rapidity) in the arguments for the dipole amplitudes N and \cal O from Y = ln (1/x) to Y = ln min \ 1/|x| , 1/|ξ| \.