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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.53 no.1 (2026), pp. 013-034
Analytical Models of the Proton Structure Function and Gluon Distributions at Small x Beyond Leading Order
L. Machahari1, D.K. Choudhury2
1Department of Physics, Rangapara College (Autonomous), Sonitpur 784505, India
2Department of Physics, Gauhati University, Guwahati-781014, India
go back1Department of Physics, Rangapara College (Autonomous), Sonitpur 784505, India
2Department of Physics, Gauhati University, Guwahati-781014, India
Abstract. We incorporate the next-to-leading order (NLO) and the next-to-next-to-leading order (NNLO) effects in the models of the Singlet Structure function F2S(x,t) and the gluon distribution G(x,t) using DGLAP equations approximated at small x. Analytical solutions of Singlet Structure function both at the next-to leading order (NLO) as well as the next-to-next-to leading order (NNLO) are obtained. We also make phenomenological study of our result comparing with the exact results.
doi: https://doi.org/10.55318/bgjp.2026.53.1.013