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

Abstract

Using a Tsallis nonextensive approach, we simultaneously analyze recent data obtained by the LHC ATLAS experiment on distributions of transverse momenta of jets, p_T^{jet}, together with distributions of transverse momenta of particles produced within these jets (defined relative to the jet's axis), p_T^{rel}, and their multiplicity distributions, P(N). The respective nonextensivity parameters for distributions of jets, q_{jet}, for distributions of particles in jets, q_{rel} and the global nonextensivity parameter obtained from P(N), q_N, 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.

7 pages, 5 figures; to be published in Phys. Lett. B

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• Quark matter revisited with non extensive MIT bag model
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• Possible Implication of a Single Nonextensive $p_T$ Distribution for Hadron Production in High-Energy $pp$ Collisions
• Quasi-power laws in multiparticle production processes
• Bag-type Model with Fractal Structure
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• Fractal aspects of hadrons
• Entropies from coarse-graining: convex polytopes vs. ellipsoids
• Hadron transverse momentum distributions in the Tsallis statistics with escort probabilities
• Imprints of energy limitation in transverse momentum distributions of jets
• Fluctuations and clustering of multiplicity in collisions of relativistic ions
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• Oscillations in multiparticle production processes
• Sub-Poissonian multiplicity distributions in jets produced in hadron collisions
• Proton structure functions at low $x$: the Fractal distributions
• Gauge fields renormalization groups and thermofractals