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

Abstract

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.

Bose-Einstein correlations of same-sign charged pions in the forward region in pp collisions at s = 7 $$ \sqrt{s}=7 $$ TeV

“…The latter has been reported by the LEP experiments [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21], and can be interpreted within some theoretical models [33][34][35][36].…”

Multiplicity, Jet, and Transverse Mass dependence of Bose-Einstein Correlations in e+e−- Annihilation

“…However, this is found not to be the case [1]. Nevertheless, regardless of the validity of the τ-model, Eq.…”

“…4, from which it is seen that the τ-model describes both the BEC peak and the anti-correlation region quite well. Also the three-jet data is well described [1], which is perhaps surprizing since the τ-model is inspired by a picture of fragmentation of a single string.…”

“…In Ref. [1] Q was plotted to 4 GeV, and it became apparent that there is a region of anti-correlation (R 2 < 1) extending from about Q = 0.5 to 1.5 GeV. This anti-correlation, as well as the BEC correlation are well described by the τ-model.…”

“…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],…”