Analysis of the L3 BEC at Z⁰-pole -- Comparison of the conventional formula against the τ-model

2024/04/13 by Takuya Mizoguchi, S. Matsumoto, Mizoguchi, Takuya +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2404.08930

openalex publication_date 2024/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The L3 Collaboration reported data on 2-jet and 3-jet Bose--Einstein correlations (BECs) with the results obtained through the τ-model in 2011. In this study, we analyze these correlations using the conventional formula with the Gaussian long-range correlation (\rm CF_I× LRC_(Gauss)). The estimated ranges of interactions for 2-jet and 3-jet, R_{\rm 2-jet} and R_{\rm 3-jet}, are almost the same magnitude as those by τ-model: R_{\rm 2-jet}=0.83± 0.05 (stat) fm and R_{\rm 3-jet}=1.09± 0.04 (stat) fm. The anticorrelation in BEC (less than 1.0) observed by the L3 Collaboration is related to the partially negative density profile (ρ_{\rm τ, BE}(ξ) in ξ space) in the τ-model and the \rm LRC_(Gauss)=1/(1+αe^-βQ2) in \rm CF_I× LRC_(Gauss), respectively. Remarkably, the probability P_τ(ξ) calculated from the Levy canonical form exhibits partially negative behavior.

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