Non-linear corrections to the longitudinal structure function $F_L$ from the parametrization of $F_2$: Laplace transform approach

Abstract

The non-linear corrections (NLC) to the longitudinal structure function in a limited approach is derived at low values of the Bjorken variable $x$ by using the Laplace transforms technique. The non-linear behavior of the longitudinal structure function is determined with respect to the Gribov-Levin-Ryskin Mueller-Qiu (GLR-MQ) and Altarelli-Martinelli (AM) equations. These results show that the non-linear longitudinal structure function can be determined directly in terms of the parametrization of $F_2(x,Q^2)$ and the derivative of the proton structure function with respect to $\ln Q^2$. These corrections improve the behavior of the longitudinal structure function at low values of $Q^2$ in comparison with other parametrization methods.

arXiv commentarXiv admin note: text overlap with arXiv:2108.09465

References in corpus (15)

• Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA
• The Longitudinal Structure Function at the Third Order
• Connection of the virtual ${\gamma }^{\ast }p$ cross section of $ep$ deep inelastic scattering to real $\gamma p$ scattering, and the implications for $\nu N$ and $ep$ total cross sections
• Dynamical parton distributions from DGLAP equations with nonlinear corrections
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• NNLO solution of nonlinear GLR-MQ evolution equation to determine gluon distribution function using Regge like ansatz
• Analytical approach for the approximate solution of the longitudinal structure function with respect to the GLR-MQ equation at small x
• Longitudinal structure function FL at small x extracted from the Berger-Block-Tan parametrization of F2
• Nonlinear correction to the longitudinal structure function at small x
• Absorptive effects and power corrections in low $x$ DGLAP evolution
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• Nonlinear corrections on the parameterization methods
• Shadowing corrections to the evolution of singlet structure function
• Gluon evolution for the Berger-Block-Tan form of the structure function F2
• A determination of the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation

Cited by in corpus (2)

• Beyond DGLAP improved saturation model
• Investigation of proton structure function $F_2^p$ at HERA in light of an analytical solution to Balitsky-Kovchegov equation