Self-similarity in jet events following from pp collisions at LHC

Using a Tsallis nonextensive approach, we simultaneously analyze recent data obtained by the LHC ATLAS experiment on distributions of transverse momenta of jets, pTjet, together with distributions of transverse momenta of particles produced within these jets (defined relative to the jetʼs axis), pTrel, and their multiplicity distributions, P(N). The respective nonextensivity parameters for distributions of jets, qjet, for distributions of particles in jets, qrel and the global nonextensivity parameter obtained from P(N), qN, were then compared with nonextensivity parameters q obtained from minimum bias pp collisions at energies corresponding to the energies of these jets. The values of the corresponding nonextensivity parameters were found to be similar, strongly indicating the existence of a common mechanism behind all these processes. We tentatively identify this as a self-similarity property known to be present there and resulting in Tsallis type distributions. If confirmed, this would considerably strengthen the nonextensive Tsallis approach.