A Monte Carlo Study of the Levy Stability and Multifractal Spectrum in e+e- collisions

Details A Monte Carlo Study of the Levy Stability and Multifractal Spectrum in e+e- collisions A Monte Carlo Study of the Levy Stability and Multifractal Spectrum in e+e- collisions

2002-04-12

arxiv.org/abs/hep-ph/0204148v1

Chin.Phys.Lett. 19 (2002) 1271-1273

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 3 figures

Scientific paper

The Levy stability analysis is carried out for e+e- collisions at Z^0 mass using Monte Carlo method. The Levy index \mu is found to be \mu=1.701 +- 0.043. The self-similar generalized dimensions D(q) and multi-fractal spectrum f(\alpha) are presented. The Renyi dimension D(q) decreases with increasing q. The self-similar multi-fractal spectrum is a convex curve with a maximum at q = 0, \alpha = 1.169 +- 0.011. The right-side part of the spectrum, corresponding to negative values of q is obtained through analytical continuation.

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