Effect of the parameterization of the distribution functions on the longitudinal structure function at small x
G. R. Boroun
Physics Department, Razi University, 67149 Kermanshah, Iran
Abstract
I use a direct method to extract the longitudinal structure
function in the next-to-leading order approximation with respect
to the number of active flavor from the parametrization of parton
distributions. The contribution of charm and bottom quarks
corresponding to the gluon distributions (i.e.,
Gnf=3(x,Q2) and Gnf=5(x,Q2)) is considered.
I compare the obtained longitudinal structure function at
nf=4 with the H1 data [Eur. Phys. J. C 74, 2814 (2014) and
Eur. Phys. J. C 71, 1579 (2011)] and the result L. P. Kaptari et
al. [Phys. Rev. D 99, 096019 (2019)] which is based on the
Mellin transforms. These calculations compared with the results
from CT18 [Phys. Rev. D 103, 014013 (2021)] parametrization model. The
nonlinear effects on the gluon distribution
improve the behavior of the longitudinal structure function in
comparison with the H1 data and CT18 at low values of Q2.