title: Numerical solution of DGLAP equations using Laguerre polynomials expansion and Monte Carlo method.
abstract: We investigate the numerical solutions of the DGLAP evolution equations at the LO and NLO approximations, using the Laguerre polynomials expansion. The theoretical framework is based on Furmanski et al.'s articles. What makes the content of this paper different from other works, is that all calculations in the whole stages to extract the evolved parton distributions, are done numerically. The employed techniques to do the numerical solutions, based on Monte Carlo method, has this feature that all the results are obtained in a proper wall clock time by computer. The algorithms are implemented in FORTRAN and the employed coding ideas can be used in other numerical computations as well. Our results for the evolved parton densities are in good agreement with some phenomenological models. They also indicate better behavior with respect to the results of similar numerical calculations.
authors.affiliation: Department of Physics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
authors.forename: A
authors.identifier: 0000-0001-7237-8748
authors.initials: A
authors.lastname: Ghasempour Nesheli
authors.affiliation: Physics Department, Yazd University, 89195-741 Yazd, Iran.
authors.forename: A
authors.initials: A
authors.lastname: Mirjalili
authors.affiliation: Faculty of Physics, Shahid Bahonar University of Kerman, Kerman, Iran.
authors.forename: M M
authors.initials: MM
authors.lastname: Yazdanpanah
keywords: DGLAP evolution equations; Evolved parton densities; Laguerre expansion; Monte Carlo method