Abstract
Coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equations involving singlet quark and gluon distributions are explored by a Taylor expansion at small as two first-order partial differential equations in two variables: Bjorken and (). The system of equations are then solved by Lagrange’s method and the method of characteristics. We obtain the proton structure function by combining the corresponding nonsinglet and singlet structure functions with both methods. Analytical solutions for thus obtained are compared with the recent data published by the H1 and ZEUS Collaborations as well as with NNPDF3.0 parametrization, and their compatibility is checked. Comparative analysis favors the analytical solution by Lagrange’s method; the plausible reasons behind that are also discussed.
- Received 3 August 2016
DOI:https://doi.org/10.1103/PhysRevD.95.014002
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