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In color string models, the transverse momentum distribution (TMD) isobtained through the convolution of the Schwinger mechanism with the stringtension fluctuations distribution. Considering a $q$-Gaussian distribution forthese fluctuations, the TMD becomes a hypergeometric confluent function thatadequately reproduces the characteristic scales at low and high $p_T$ values.In this approach, the hard scale of the TMD is a consequence of considering aheavy-tailed distribution for the string tension fluctuations whose width risesas $\sqrt{s}$, multiplicity or centrality increases. In this paper, weintroduce the complete information of the TMD in the color string percolationmodel by means of the determination of the color suppression factor, which nowalso depends on the parameters of the $q$-Gaussian. To this end, we analyze thereported data on pp and AA collisions at different center of mass energies,multiplicities, and centralities. In particular, for minimum bias ppcollisions, we found that the $q$-Gaussian parameters and the effectivetemperature are monotonically increasing functions of the center of massenergy. Similar results are found for AA collisions as a function of thecentrality at fixed $\sqrt{s}$.  We summarize these results in a phase diagram that indicates the $q$-Gaussianparameters region allowing the quark-gluon plasma formation.

Soft and hard scales of the transverse momentum distribution in the Color String Percolation Model