Nonlinear corrections to the momentum sum rule

Abstract

The importance of nonlinear corrections to the momentum sum rule is investigated on the initial scale \(Q_{0}^2\). Nonlinear corrections are found to play an indispensable role in the singlet and gluon momentum sum rule in the high-order approximations in the parton distribution function parameterizations for nucleons and light nuclei at low x in future colliders. In this way, we obtain a significantly different low x behavior of the singlet and gluon momentum sum rule at the hotspot point.