Generalised Tsallis statistics in electron-positron collisions

The scaling of charged hadron fragmentation functions to the Tsallis distribution for the momentum fraction 0.01 less than or similar to x less than or similar to 0.2 is presented for various e(+)e(-) collision energies. A possible microcanonical generalisation of the Tsallis distribution is proposed, which gives good agreement with measured data up to x approximate to 1. The proposal is based on superstatistics and a Koba-Nielsen-Olesen (KNO) like scaling of multiplicity distributions in e(+)e(-) experiments. (C) 2011 Elsevier B.V. All rights reserved.