Abstract
Bose-Einstein correlations of pairs of identical charged pions produced in hadronic Z decays are analyzed for both two- and three-jet events. A parametrization suggested by the tau-model is used to investigate the dependence of the Bose-Einstein correlation function on track multiplicity, number of jets, and transverse momentum.
Highlights
After a brief review of relevant previous results, new preliminary results are presented on the dependence of the Bose-Einstein correlation function on track and jet multiplicity and transverse momentum, using a parametrization which has been found [1] to describe well Bose-Einstein correlations (BEC) in hadronic Z decay, namely that of the τ-model [2, 3], 1.1 Review
Since the results on the dependence of the BEC parameters on particle and jet multiplicities and on transverse mass mentioned in Sect. 1.1 were obtained using the classic Gaussian parametrization, Eq (1), and since this parametrization has been shown to be inadequate, in the rest of this paper we investigate these properties using the τ-model parametrization, Eq (4)
The parameters of the Bose-Einstein correlation function have been found to depend on charged multiplicity, the number of jets, and the transverse mass
Summary
After a brief review of relevant previous results, new preliminary results are presented on the dependence of the Bose-Einstein correlation function on track and jet multiplicity and transverse momentum, using a parametrization which has been found [1] to describe well Bose-Einstein correlations (BEC) in hadronic Z decay, namely that of the τ-model [2, 3], 1.1 Review. To describe the long-range correlations they introduced a quadratic term resulting in They observed a linear rise of r with charged track multiplicity as well as an increase of r with the number of jets. While one might have had the insight to add, ad hoc, a cos term to Eq (3), it is the τ-model which predicts a relationship, Eq (4b), between R and Ra. A fit of Eq (4) to 3 two-jet events is shown, from which it is seen that the τ-model describes both the BEC peak and the anti-correlation region quite well. Since the results on the dependence of the BEC parameters on particle and jet multiplicities and on transverse mass mentioned in Sect. 36 million like-sign pairs of well-measured charged tracks from about 0.8 million hadronic Z decays are used This data sample is identical to that of Ref. Small y23 corresponds to narrow two-jet events, large y23 to events with three or more well-separated jets
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