Eur. Phys. J. Plus (2014) 129: 19
https://doi.org/10.1140/epjp/i2014-14019-1

Regular Article

Evolution of the longitudinal structure function at small x

Physics Department, Razi University, 67149, Kermanshah, Iran

^* e-mail: boroun@razi.ac.ir

Received: 22 November 2013
Accepted: 7 January 2014
Published online: 3 February 2014

Abstract

We derive an approximation approach to evolution of the longitudinal structure function, by using a Laplace-transform method. We solve the master equation and derive the longitudinal structure function as a function of the initial condition at small x . Our results are independent of the longitudinal coefficient functions and extend from the leading order (LO) up to next-to-next-to-leading order (NNLO). The comparisons with H1 data and other parameterizations are made and results show that they are in agreement with H1 data and some phenomenological models.