Analytical approach for the approximate solution of the longitudinal structure function with respect to the GLR-MQ equation at small x

Abstract

We show that the nonlinear corrections to the longitudinal structure function can be tamed the singularity behavior at low x values, with respect to GLR-MQ equations. This approach can determined the shadowing longitudinal structure function based on the shadowing corrections to the gluon and singlet quark structure functions. Comparing our results with HERA data show that at very low x this behavior completely tamed by these corrections.

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Cited by in corpus (13)

• Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
• Parton Distribution Functions of Heavy Mesons on the Light Front
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• Longitudinal structure function from logarithmic slopes of $F_2$ at low $x$
• Nonlinear effects in gluon distribution predicted by GLR-MQ evolution equation at next-to-leading order in LHC data
• The behavior of the structure function by using the effective exponent at low-x
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• Longitudinal structure function from the parton parameterization
• Nonlinear corrections on the parameterization methods
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• The study of the gluon distribution function and reduced cross section behavior using the proton structure function
• Collinear approach for top quark production at ep colliders
• Non-linear corrections to the longitudinal structure function $F_L$ from the parametrization of $F_2$: Laplace transform approach