We present a detailed analysis of the transverse momentum distribution of charged particles from a nonextensive description. Considering the color string fragmentation described by the Schwinger mechanism convoluted with the string tension fluctuations, we obtained functions that describe the $p_T$ spectrum. This approach led us to introduce heavy-tailed string tension fluctuations that give rise to a description of the hard part of the pT distribution. We determine the statistics of the charged particles' invariant yield reported by RHIC and LHC experiments for minimum bias pp collisions. We compute the Shannon entropy and the heat capacity, finding that the information in the $p_T$ spectrum leads to a rise in the monotonically increasing behavior of the entropy and heat capacity as a function of the center of mass energy and the temperature, meaning that more energy is necessary to “heat up” the transverse momentum distribution.