Longitudinal structure function FL of proton from Regge-like behaviour of gluon distribution function up to next-to-next-to-leading order at small-x

Nomita Baruah; Mrinal Kumar Das; Jayanta Kumar Sarma

doi:10.1140/epjp/i2014-14229-5

EPJ

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2022 Impact factor 3.4

EPJ PLUS - Condensed Matter and Complex Systems

Eur. Phys. J. Plus (2014) 129: 229
https://doi.org/10.1140/epjp/i2014-14229-5

Regular Article

Longitudinal structure function F_L of proton from Regge-like behaviour of gluon distribution function up to next-to-next-to-leading order at small-x

Nomita Baruah^*, Mrinal Kumar Das and Jayanta Kumar Sarma

Department of Physics, Tezpur University, 784 028, Assam, India

^* e-mail: nomitapb@gmail.com

Received: 3 June 2014
Revised: 24 September 2014
Accepted: 24 September 2014
Published online: 22 October 2014

Abstract

The behaviour of the longitudinal structure function F_L with respect to the Bjorken variable x and Q², the squared four-momentum transfer between lepton and nucleon, in the next-to-next-to-leading order (NNLO) at small x is presented using the Regge-like behaviour of the gluon distribution function. Here we have calculated - and x -evolutions of the F_L structure function using the gluon distribution function obtained as a result of solution of the DGLAP evolution equation at small x . We have also studied the behaviour of the DIS cross section ratio R in this kinematical region. The calculated results are compared with recent H1, ZEUS data and DL model results, CT10 parameterization. The results obtained can be explained within the framework of perturbative quantum chromodynamics i.e., the evolution of the structure function F_L increases towards low values of x .