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 (19)

• Parton distributions for the LHC
• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
• Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data
• Dynamical NNLO parton distributions
• Determination of nuclear parton distributions
• Nuclear parton distribution functions and their uncertainties
• Global analysis of nuclear parton distribution functions and their uncertainties at next-to-next-to-leading order
• A QCD analysis of HERA and fixed target structure function data
• Nuclear parton distribution functions with uncertainties in a general mass variable flavor number scheme
• Numerical evaluation of the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu evolution equations for nuclear parton distribution functions
• Absorptive effects and power corrections in low $x$ DGLAP evolution
• Nonlinear corrections on the parameterization methods
• A data-based parametrization of parton distribution functions
• Momentum sum rule and factorization of double parton distributions
• On phenomenological study of the solution of nonlinear GLR-MQ evolution equation beyond leading order
• Parametrization of the nuclear structure function
• Novel Corrections to the Momentum Sum Rule for Nuclear Structure Functions