Khanpour, Hamzeh and Mirjalili, Abolfazl and Tehrani, S. Atashbar
(2017)
Analytic derivation of the next-to-leading order proton structure function Fp2 (x,Q2) based on the Laplace transformation.
Physical Review C, 95 (035201).
ISSN 2469-9993
Abstract
An analytical solution based on the Laplace transformation technique for the Dokshitzer-Gribov-Lipatov-
Altarelli-Parisi (DGLAP) evolution equations is presented at next-to-leading order accuracy in perturbative QCD.
This technique is also applied to extract the analytical solution for the proton structure function, Fp2 (x,Q2), in the
Laplace s space.We present the results for the separate parton distributions of all parton species, including valence
quark densities, the antiquark and strange sea parton distribution functions (PDFs), and the gluon distribution.
We successfully compare the obtained parton distribution functions and the proton structure function with the
results from GJR08 [Gluck, Jimenez-Delgado, and Reya, Eur. Phys. J. C 53, 355 (2008)] and KKT12 [Khanpour,
Khorramian, and Tehrani, J. Phys. G 40, 045002 (2013)] parametrization models as well as the x-space results
using QCDnum code. Our calculations show a very good agreement with the available theoretical models as well
as the deep inelastic scattering (DIS) experimental data throughout the small and large values of x. The use of
our analytical solution to extract the parton densities and the proton structure function is discussed in detail to
justify the analysis method, considering the accuracy and speed of calculations. Overall, the accuracy we obtain
from the analytical solution using the inverse Laplace transform technique is found to be better than 1 part in 104
to 105. We also present a detailed QCD analysis of nonsinglet structure functions using all available DIS data to
perform global QCD fits. In this regard we employ the Jacobi polynomial approach to convert the results from
Laplace s space to Bjorken x space. The extracted valence quark densities are also presented and compared to
the JR14, MMHT14, NNPDF, and CJ15 PDFs sets. We evaluate the numerical effects of target mass corrections
(TMCs) and higher twist (HT) terms on various structure functions, and compare fits to data with and without
these corrections.
Item Type: |
Article
|
Additional Information: |
Cite as: Analytic derivation of the next-to-leading order proton structure function $F_2^p(x, Q^2)$ based on the Laplace transformation. Hamzeh Khanpour, Abolfazl Mirjalili, S. Atashbar Tehrani, https://doi.org/10.1103/PhysRevC.95.035201, DOI 10.1103/PhysRevC.95.035201, Phys.Rev.C 95 (2017) 3, 035201 |
Keywords: |
Analytic derivation; next-to-leading order proton structure function Fp2 (x,Q2); Laplace transformation; |
Academic Unit: |
Faculty of Science and Engineering > Theoretical Physics |
Item ID: |
14763 |
Identification Number: |
https://doi.org/10.1103/PhysRevC.95.035201 |
Depositing User: |
Hamzeh Khanpour
|
Date Deposited: |
07 Sep 2021 16:42 |
Journal or Publication Title: |
Physical Review C |
Publisher: |
American Physical Society |
Refereed: |
No |
URI: |
|
Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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