Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-04-30
Phys.Lett. B386 (1996) 422-428
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, uses 'mcite', and 'amsfonts', dvi-file available at http://rulgm4.leidenuniv.nl/preprints/longfrag.dvi
Scientific paper
10.1016/0370-2693(96)00898-2
We present the order $\alpha_s^2$ contributions to the coefficient functions corresponding to the longitudinal fragmentation function $F_L(x,Q^2)$. A comparison with the leading order $\alpha_s$ result for $F_L(x,Q^2)$ shows that the corrections are large and vary from 44\% to 67\% in the region $0.01 < x < 0.9$ at $Q^2=M_Z^2$. Our calculations also reveal that the ratio of the longitudinal and total cross section $\sigma_L/\sigma_{\rm tot}$ amounts to 0.054. This number is very close to the most recent value obtained by the OPAL collaboration which obtained $0.057\pm 0.005$.
Rijken P. J.
van Neerven W. L.
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