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Measurement of the Scaling Property of Factorial Moments in Hadronic Z Decay

Gang Chen·Yuan Hu·Lianshou Liu·W. Kittel·W. J. Metzger
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Abstract

Both three- and one-dimensional studies of local multiplicity fluctuations in hadronic Z decay are performed using data of the L3 experiment at LEP. The normalized factorial moments in three dimensions exhibit power-law scaling, indicating that the fluctuations are isotropic, which correspends to a self-similar fractal. A detailed study of the corresponding one-dimensional moments confirms this conclusion. However, two-jet subsamples have anisotropic fluctuations, correspending to a self-affine fractal. These features are, at least qualitatively, reproduced by the Monte Carlo models \JETSET and \HERWIG.

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Gang Chen, Yuan Hu, Lianshou Liu, W. Kittel, W. J. Metzger. 2001-12-19. Measurement of the Scaling Property of Factorial Moments in Hadronic Z Decay. https://doi.org/10.1142/9789812778048_0062

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