Analysis of properties of the charged-particle jets in pp collisions at 13 TeV using non-extensive Tsallis statistics

The ALICE collaboration at LHC has recently measured the inclusive charged-particle jets production with different resolution parameters of 0.2, 0.3, 0.4, 0.5, 0.6 and 0.7 in pp collisions at s = 13 TeV in the transverse momentum range of 5 < p T , j e t ch < 140 GeV/c and pseudorapidity range of | η jet | < 0.9 - R . In this work, we have fitted the inclusive charged-particles jet production measured by the ALICE Collaboration by the Tsallis function with thermodynamical consistence to measure the freeze-out parameters: effective temperature ( T eff ), chemical potential ( μ ) and non-extensive parameter ( q ). The quality of the Tsallis fits with fixed μ = 0 chemical potential has proved to be significantly better than those with fitted μ value. The fit parameters, q and T eff measure the degree of deviation from the equilibrium state and the effective temperature of the thermalized system, respectively. We have established the dependence of the effective temperature, T eff , and non-extensive parameter, q , on the value of the jet resolution parameter, R. We found out that the effective temperature, T eff , of the Tsallis function shows a steady rise with increasing the jet resolution parameter. Also, a decrease in the non-extensive parameter q has been observed when the jet resolution parameter increases.