https://doi.org/10.1140/epja/i2018-12499-0
Regular Article - Theoretical Physics
An improved analysis of proton structure function F2(x,t) at small x
1
Department of Physics, Gauhati University, 781 014, Guwahati, India
2
Physics Academy of North-East, 781 014, Guwahati, India
* e-mail: luxmimachahari@gmail.com
Received:
12
December
2017
Accepted:
18
March
2018
Published online:
27
April
2018
We report an improved analysis of Taylor approximated coupled DGLAP equations for singlet and gluon G(x,t) distributions at small x pursued in recent years. To that end, we assume a plausible t-dependent relation between the singlet and gluon distribution valid at small x and omit the boundary condition
, for any t which needs large x extrapolation of small x solution. We observe that in general two inequivalent t-evolutions of
and G(x, t) are possible. Theoretical advantages of one over the other are discussed and compared with the recently compiled data in order to choose the best one. Phenomenological range of validity of solutions is also reported.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018