Non-linear corrections to the longitudinal structure function F_L from the parametrization of F₂: Laplace transform approach

2021/09/30 by G. R. Boroun · 3 citations
Mathematics · Physics and Astronomy · #Function (biology) #High-Energy Particle Collisions Research #Laplace transform #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Parametrization (atmospheric modeling) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph

paper · pdf · doi:10.1140/epjp/s13360-022-02558-1

published in The European Physical Journal Plus 137(3) (Springer Science+Business Media) · arXiv admin note: text overlap with arXiv:2108.09465

openalex created_date 2021/09/27 · arxiv created 2021/11/17 · openalex publication_date 2022/03/01 · arxiv updated 2022/03/24 · openalex updated_date 2026/08/05

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 F₂(x,Q²) and the derivative of the proton structure function with respect to lnQ². These corrections improve the behavior of the longitudinal structure function at low values of Q² in comparison with other parametrization methods.

Citations

• A determination of the longitudinal structure function F_L from the parametrization of F₂ based on the Laplace transformation
• Combined measurement and QCD analysis of the inclusive e ± p scattering cross sections at HERA
• Shadowing corrections to the evolution of singlet structure function

Cited by

• Analytic derivation of the non-linear gluon distribution function