Numerical solution of Q^2 evolution equation for the transversity distribution Delta_T q

Details Numerical solution of Q^2 evolution equation for the transversity distribution Delta_T q Numerical solution of Q^2 evolution equation for the transversity distribution Delta_T q

1997-12-17

arxiv.org/abs/hep-ph/9712410v1

Comput.Phys.Commun. 111 (1998) 150-166

Physics

High Energy Physics

High Energy Physics - Phenomenology

1+29 pages, LaTeX2e, epsfig.sty, amsmath.sty, 6 eps figures. Submitted for publication. Complete postscript file is available

Scientific paper

10.1016/S0010-4655(98)00028-9

We investigate numerical solution of the Dokshitzer-Gribov-Lipatov-Altarelli- Parisi (DGLAP) Q^2 evolution equation for the transversity distribution Delta_T q or the structure function h_1. The leading-order (LO) and next-to- leading-order (NLO) evolution equations are studied. The renormalization scheme is MS or overline{MS} in the NLO case. Dividing the variables x and Q^2 into small steps, we solve the integrodifferential equations by the Euler method in the variable Q^2 and by the Simpson method in the variable x. Numerical results indicate that accuracy is better than 1% in the region 10^{-5}

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