Non-singlet structure function FNS2 (x,t) in DGLAP approach

National Conference on Contemporary Issues in High Energy Physics and Cosmology

Borah, Neelakshi N K^1 ; Choudhury, D.K.^1,2 ; Sahariah, P.K.^3

Department of Physics, Gauhati University, Guwahati 781014, India^1

Physics Academy of the North East (PANE), Physics Department, Gauhati University, Guwahati 781014, India^2

Department of Physics, Cotton College, Guwahati 781001, India^3

关键词: DGLAP evolution equations;    Evolution equations;    Lagrange's method;    Leading orders;    Method of characteristics;    Numerical solution;    Structure functions;    Taylor series expansions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/481/1/012023/pdf
DOI  :  10.1088/1742-6596/481/1/012023

来源: IOP

【 摘 要 】

In this work the non-singlet structure function FNS2(x, t) have been obtained by solving DGLAP evolution equation in leading order (LO) at the small x limit. Here we have used a Taylor series expansion and then the method of characteristics and Lagrange's method to solve the evolution equations. We make a detailed comparison of the predictions of the two methods with two different levels of approximations with experimental data as well as with numerical solutions.