The Evolution of Hadron Spectra in the Modified Leading Logarithm Approximation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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To be published in Eur.Phys.J.C, EPJC040401

Scientific paper

10.1140/epjc/s2004-01875-4

We perform fits of $\Lambda_{\rm QCD}$ and the gluon fragmentation function $D(x,Q)$ at initial scale $Q_0 \gg\Lambda_{\rm QCD}$ to charged light hadron momentum spectra data by evolving in the Modified Leading Logarithm Approximation. Without additional assumptions, we achieve a good description of the available data for $\xi=\ln(1/x)$ up to and around the Gaussian peak, and values of $\Lambda_{\rm QCD}$ acceptably close to those in the literature. In particular, we find that this procedure describes the position of the peak, and, in contrast to the Limiting Spectrum, also the normalization.

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