Eur. Phys. J. C (2011) 71: 1648
https://doi.org/10.1140/epjc/s10052-011-1648-8

Regular Article - Experimental Physics

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

¹ III. Physikalisches Institut, RWTH, 52056, Aachen, Germany
² National Institute for High Energy Physics, NIKHEF, and University of Amsterdam, 1009 DB, Amsterdam, The Netherlands
³ University of Michigan, Ann Arbor, MI, 48109, USA
⁴ Laboratoire d’Annecy-le-Vieux de Physique des Particules, LAPP, IN2P3-CNRS, BP 110, 74941, Annecy-le-Vieux Cedex, France
⁵ Institute of Physics, University of Basel, 4056, Basel, Switzerland
⁶ Louisiana State University, Baton Rouge, LA, 70803, USA
⁷ Institute of High Energy Physics, IHEP, 100039, Beijing, China
⁸ University of Bologna and INFN-Sezione di Bologna, 40126, Bologna, Italy
⁹ Tata Institute of Fundamental Research, Mumbai (Bombay), 400 005, India
¹⁰ Northeastern University, Boston, MA, 02115, USA
¹¹ Institute of Atomic Physics and University of Bucharest, 76900, Bucharest, Romania
¹² Central Research Institute for Physics of the Hungarian Academy of Sciences, 1525, Budapest 114, Hungary
¹³ Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
¹⁴ Panjab University, Chandigarh, 160 014, India
¹⁵ KLTE-ATOMKI, 4010, Debrecen, Hungary
¹⁶ UCD School of Physics, University College Dublin, Belfield, Dublin 4, Ireland
¹⁷ INFN Sezione di Firenze and University of Florence, 50125, Florence, Italy
¹⁸ European Laboratory for Particle Physics, CERN, 1211, Geneva 23, Switzerland
¹⁹ World Laboratory, FBLJA Project, 1211, Geneva 23, Switzerland
²⁰ University of Geneva, 1211, Geneva 4, Switzerland
²¹ University of Hamburg, 22761, Hamburg, Germany
²² Chinese University of Science and Technology, USTC, Hefei, Anhui, 230 029, China
²³ University of Lausanne, 1015, Lausanne, Switzerland
²⁴ Institut de Physique Nucléaire de Lyon, IN2P3-CNRS, Université Claude Bernard, 69622, Villeurbanne, France
²⁵ Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, CIEMAT, 28040, Madrid, Spain
²⁶ Florida Institute of Technology, Melbourne, FL, 32901, USA
²⁷ INFN-Sezione di Milano, 20133, Milan, Italy
²⁸ Institute of Theoretical and Experimental Physics, ITEP, Moscow, Russia
²⁹ INFN-Sezione di Napoli and University of Naples, 80125, Naples, Italy
³⁰ Department of Physics, University of Cyprus, Nicosia, Cyprus
³¹ Radboud University and NIKHEF, 6525 ED, Nijmegen, The Netherlands
³² The King’s University College, Edmonton, Alberta, T6B 2H3, Canada
³³ Dept. of Business Mathematics and Informatics, Károly Róbert College, 3200, Gyöngyös, Hungary
³⁴ California Institute of Technology, Pasadena, CA, 91125, USA
³⁵ INFN-Sezione di Perugia and Università Degli Studi di Perugia, 06100, Perugia, Italy
³⁶ Nuclear Physics Institute, St. Petersburg, Russia
³⁷ Carnegie Mellon University, Pittsburgh, PA, 15213, USA
³⁸ INFN-Sezione di Napoli and University of Potenza, 85100, Potenza, Italy
³⁹ Princeton University, Princeton, NJ, 08544, USA
⁴⁰ University of Californa, Riverside, CA, 92521, USA
⁴¹ INFN-Sezione di Roma and University of Rome, “La Sapienza”, 00185, Rome, Italy
⁴² University and INFN, Salerno, 84100, Salerno, Italy
⁴³ University of California, San Diego, CA, 92093, USA
⁴⁴ Central Lab. of Mechatronics and Instrumentation, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria
⁴⁵ The Center for High Energy Physics, Kyungpook National University, 702-701, Taegu, Republic of Korea
⁴⁶ National Central University, Chung-Li, Taiwan, China
⁴⁷ Department of Physics, National Tsing Hua University, Taiwan, Hsinchu City, China
⁴⁸ Purdue University, West Lafayette, IN, 47907, USA
⁴⁹ Paul Scherrer Institut, PSI, 5232, Villigen, Switzerland
⁵⁰ DESY, 15738, Zeuthen, Germany
⁵¹ Eidgenössische Technische Hochschule, ETH Zürich, 8093, Zürich, Switzerland

^* e-mail: w.metzger@hef.ru.nl

Received: 11 April 2011
Published online: 20 May 2011

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.