https://doi.org/10.1140/epja/s10050-023-01041-4
Regular Article - Theoretical Physics
Scale dependence of the q and T parameters of the Tsallis distribution in the process of jet fragmentation
1
Department for Atomic Physics, Eotvos Lorand University, 1A Pazmany Peter Walk, 1117, Budapest, Hungary
2
Department of Computational Sciences, Wigner Research Centre for Physics, 29-33 Konkoly-Thege Mikloos Street, 1121, Budapest, Hungary
Received:
29
March
2023
Accepted:
24
May
2023
Published online:
3
June
2023
The dependence of the q and T parameters of the Tsallis-distribution-shaped fragmentation function (FF) on the fragmentation scale (found to be equal to the jet mass) is calculated via the resummation of the branching process of jet fragmentation in the leading-log appriximation (LLA) in the 
theory. Jet and hadron spectra in electron-positron (
) annihilations with 2- and 3-jet final states are calculated using virtual leading partons. It is found that jets, produced earlier in the branching process, are more energetic, and the energy, angle and multiplicity distributions of hadrons stemming from them are broader. It is also found that replacing the LL resummation in the branching process by a single splitting provides good approximation for the jet energy distribution in 2-jet events. Furthermore, a micro-canonical statistical event generator is presented for the event-by-event calculation of hadron momenta in annihilations.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
