“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 14322
School of Particles and Accelerator
  Title:   Analytic derivation of the next-to-leading-order proton structure function F2p(x, Q2) based on the Laplace transformation
1.  Hamzeh Khanpour
2.  Abolfazl Mirjalili
3.  Shahin Atashbar Tehrani
  Status:   Published
  Journal: Phys. Rev. C
  No.:  035201
  Vol.:  95
  Year:  2017
  Supported by:  IPM
In the present article, an analytical solution based on the Laplace transformation for the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations has been presented at the next-to-leading order accuracy in perturbative QCD. This technique is also applied to the proton structure function, F2p(x, Q2), which leads to an analytical solution for this function in the Laplace space. We successfully compare the obtained parton distribution functions and the proton structure function with the results from GJR08 [Eur. Phys. J C53 (2008) 355-366] and KKT12 [J. Phys. G40 (2013) 045002] parametrization models. We present the results for the separate parton distributions for all parton species. A detailed comparisons also have been done for the analytical solutions of the proton structure function with the corresponding available E665 and H1 DIS data. Our calculations show a very good agreement with the available theoretical models as well as the DIS experimental data throughout the small and large values of x.

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