Nonlinear Corrections to the Momentum Sum Rule

Abstract

The importance of the nonlinear corrections on 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 parameterization groups 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.

References in corpus (7)

• Parton distributions for the LHC
• Numerical evaluation of the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu evolution equations for nuclear parton distribution functions
• A data-based parametrization of parton distribution functions
• Nonlinear corrections on the parameterization methods
• Momentum sum rule and factorization of double parton distributions
• Parametrization of the nuclear structure function
• Novel Corrections to the Momentum Sum Rule for Nuclear Structure Functions