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Published May 2011 | Published
Journal Article Open

Test of the τ-model of Bose–Einstein correlations and reconstruction of the source function in hadronic Z-boson decay at LEP


Bose–Einstein correlations of pairs of identical charged pions produced in hadronic Z decays are analyzed in terms of various parametrizations. A good description is achieved using a Lévy stable distribution in conjunction with a model where a particle's momentum is correlated with its space–time point of production, the τ-model. Using this description and the measured rapidity and transverse momentum distributions, the space–time evolution of particle emission in two-jet events is reconstructed. However, the elongation of the particle emission region previously observed is not accommodated in the τ-model, and this is investigated using an ad hoc modification.

Additional Information

© 2011 CERN, for the benefit of the L3 collaboration. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. Received: 11 April 2011. Published online: 20 May 2011. We are grateful to J.P. Nolan for an academic license for his Mathematica package on Levy Stable distributions. Supported by the German Bundesministerium für Bildung, Wissenschaft, Forschung und Technologie. Supported by the Hungarian OTKA fund under contract numbers T019181, F023259 and T037350. Also supported by the Hungarian OTKA fund under contract number T026178. Supported also by the Comisión Interministerial de Ciencia y Tecnología. Also supported by CONICET and Universidad Nacional de La Plata, CC 67, 1900 La Plata, Argentina. Supported by the National Natural Science Foundation of China. Visitor from MTA KFKI RMKI, H-1525 Budapest 114, Hungary, and Dept. of Physics, Harvard University, 17 Oxford St., Cambridge, MA 02138, USA, sponsored by the Scientific Exchange between Hungary (OTKA) and The Netherlands (NWO), project B64-27/N25186; also supported by Hungarian OTKA grants T49466 and NK73143 and a HAESF Senior Leaders and Scholars Fellowship.

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