Comparative analysis of analytical solutions for F2P(x,t) in the DGLAP approach

D. K. Choudhury and Neelakshi N. K. Borah
Phys. Rev. D 95, 014002 – Published 4 January 2017

Abstract

Coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equations involving singlet quark and gluon distributions are explored by a Taylor expansion at small x as two first-order partial differential equations in two variables: Bjorken x and t (t=lnQ2Λ2). The system of equations are then solved by Lagrange’s method and the method of characteristics. We obtain the proton structure function F2P(x,t) by combining the corresponding nonsinglet and singlet structure functions with both methods. Analytical solutions for F2P(x,t) thus obtained are compared with the recent data published by the H1 and ZEUS Collaborations as well as with NNPDF3.0 parametrization, and their compatibility is checked. Comparative analysis favors the analytical solution by Lagrange’s method; the plausible reasons behind that are also discussed.

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  • Received 3 August 2016

DOI:https://doi.org/10.1103/PhysRevD.95.014002

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

D. K. Choudhury1,2 and Neelakshi N. K. Borah1,*

  • 1Department of Physics, Gauhati University, Guwahati 781014, India
  • 2Centre for Theoretical Physics, Pandu College, Guwahati 781012, India

  • *nishi_indr@yahoo.co.in

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Vol. 95, Iss. 1 — 1 January 2017

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