Method of characteristics and solution of DGLAP evolution equation in leading and next to leading order at small x
Abstract
In this paper the singlet and nonsinglet structure functions have been obtained by solving Dokshitzer, Gribov, Lipatov, Altarelli, Parisi (DGLAP) evolution equations in leading order and next to leading order at the small x limit. Here we have used Taylor series expansion and then the method of characteristics to solve the evolution equations. We have also calculated t and x evolutions of the deuteron structure function and the results are compared with the New Muon Collaboration data.
- Publication:
-
Physical Review D
- Pub Date:
- November 2006
- DOI:
- 10.1103/PhysRevD.74.107702
- arXiv:
- arXiv:0707.0914
- Bibcode:
- 2006PhRvD..74j7702B
- Keywords:
-
- 12.38.-t;
- 12.39.-x;
- 13.60.Hb;
- Quantum chromodynamics;
- Phenomenological quark models;
- Total and inclusive cross sections;
- High Energy Physics - Phenomenology
- E-Print:
- 16 pages including 7 figures