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Register a new userMultiplicity, Jet, and Transverse Mass dependence of Bose-Einstein Correlations in e$^{+}$e$^{-}$- Annihilation
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Wesley J. Metzger
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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.
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Results on Bose-Einstein correlations in e+e- ==> hadrons are reviewed.
A parametrization of the Bose-Einstein correlation function of pairs of identical pions produced in hadronic e+e- annihilation is proposed within the framework of a model (the tau-model) in which space-time and momentum space are very strongly correlated. Using information from the Bose-Einstein correlations as well as from single-pion spectra,it is then possible to reconstruct the space-time evolution of pion production.
We correct an important misprint in the journal version of our earlier work on New Jet Cluster Algorithms: Next-to-leading Order QCD..., published in Nucl. Phys. B 370 (1992) 310, which may have lead to an incorrect parametrisation of the leading order QCD coefficients for the JADE type jet cluster algorithms.
In this talk I first present a short review of fluctuations in $e^+e^-$-annihilations. I then describe some new results on FD correlations. Experimental analyses of $pp$ and $LambdaLambda$ correlations indicate a very small production radius. This result relies very strongly on comparisons with MC simulations. A study of the approximations and uncertainties is these simulations imply that it is premature to draw such a conclusion from the data.
We make a systematic study of $Lambda$ hyperon polarizations in unpolarized lepton induced semi-inclusive reactions such as $e^-Nto e^-Lambda X$ and $e^+e^-toLambda h X$. We present the general form of cross sections in terms of structure functions obtained from a general kinematic analysis. This already shows that the produced hyperons can be polarized in three orthogonal directions, i.e., the longitudinal direction along the hyperon momentum, the normal direction of the production plane, and the transverse direction in the production plane. We present the parton model results at the leading twist and leading order in perturbative QCD and provide the expressions for these structure functions and polarizations in terms of parton distribution functions and fragmentation functions. We emphasize in particular that by studying the longitudinal polarization and the transverse polarization in the production plane, we can extract the corresponding chiral-odd fragmentation functions $H_{1Lq}^{perpLambda}$, $H_{1Tq}^{Lambda}$ and $H_{1Tq}^{perpLambda}$. We also present numerical results of rough estimates utilizing available parameterizations of fragmentation functions and approximations. We discuss how to measure these polarizations and point out in particular that they can be carried out in future EIC and/or $e^+e^-$ annihilation experiments such as Belle.
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