Testing the running of the QCD coupling in particle energy spectra

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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14 pages including 3 figures, uuencoded gz-compressed PS-file

Scientific paper

10.1016/0370-2693(95)01270-2

The spectra of charged particles in the energy variable $\xi = \log 1/x$ (``the hump backed plateau'') are analyzed in terms of moments in order to investigate the sensitivity to the running of $\alpha_s$ in particular towards small scales, and to further test thereby the local parton hadron duality picture. The modified leading log approximation (MLLA) of QCD provides a very satisfying description of the $e^+e^-$ data in the full range of c.m. energies from about 1 up to 91 GeV. The same calculation but with fixed coupling $\alpha_s$ yields moments which are inconsistent with the data already close to threshold. In particular the soft particles ($E\le 1$~GeV) reflect directly the running of $\alpha_s$.

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