Numerical solution of $Q^2$ evolution equations in a brute-force method

Details Numerical solution of $Q^2$ evolution equations in a brute-force method Numerical solution of $Q^2$ evolution equations in a brute-force method

1995-08-06

arxiv.org/abs/hep-ph/9508246v1

Comput.Phys.Commun. 94 (1996) 185-215

Physics

High Energy Physics

High Energy Physics - Phenomenology

48 pages, LATEX, figs. 1-6. Complete postscript file including the figure is available at ftp://ftp.cc.saga-u.ac.jp/pub/pape

Scientific paper

10.1016/0010-4655(96)00013-6

We investigate numerical solution of $Q^2$ evolution equations for structure functions in the nucleon and in nuclei. (Dokshitzer-Gribov-Lipatov-)Altarelli-Parisi and Mueller-Qiu evolution equations are solved in a brute-force method. Spin-independent flavor-nonsinglet and singlet equations with next-to-leading-order $\alpha_s$ corrections are studied. Dividing the variables $x$ and $Q^2$ into small steps, we simply solve the integrodifferential equations. Numerical results indicate that accuracy is better than 2\% in the region $10^{-4}

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