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

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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:	Publisher
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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