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    • The next-to-leading order (NLO) gluon distribution from DGLAP equation and the logarithmic derivatives of the proton structure functionF2(x, Q2) at lowx

      D K Choudhury P K Sahariah

      Volume 65 Issue 2 August 2005 pp 193-213

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/065/02/0193-0213

    • Keywords

       

      DGLAP equation; structure functions; lowx; method of characteristics; logarithmic derivatives ofF2(x,Q2)

    • Abstract

       

      At lowx, an analytic solution of the DGLAP equation for gluon in the next-to-leading order (NLO) is obtained by applying the method of characteristics. Its compatibility with double leading logarithmic approximation (DLLA) asymptotics is discussed and comparison with the exact ones like GRV98NLO is made. The solution is then utilized to calculate the derivatives∂F2 (x,Q2)/∂ lnQ2and ∂ lnF2(x,Q2)/∂ ln (1/x) and compared with the recent HERA data. Our solution is found to reproduce most of the essential features of the data on the derivatives.

    • Author Affiliations

       

      D K Choudhury1 P K Sahariah2

      1. Department of Physics, Gauhati University, Guwahati - 781 014, India
      2. Department of Physics, Cotton College, Guwahati - 781 001, India

    • Dates

       
      Published
      August 2005
      Manuscript received
      4 August 2004
      Accepted
      4 February 2005

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