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Multiparticle production processes in $pp$ collisions at the central rapidityregion are usually considered to be divided into independent "soft" and "hard"components. The first is described by exponential (thermal-like) transversemomentum spectra in the low-$p_T$ region with a scale parameter $T$ associatedwith the temperature of the hadronizing system. The second is governed by apower-like distributions of transverse momenta with power index $n$ athigh-$p_T$ associated with the hard scattering between partons. We show thatthe hard-scattering integral can be approximated as a nonextensive distributionof a quasi-power-law containing a scale parameter $T$ and a power index $n=1/(q-1)$, where $q$ is the nonextensivity parameter. We demonstrate that the wholeregion of transverse momenta presently measurable at LHC experiments at centralrapidity (in which the observed cross sections varies by $14$ orders ofmagnitude down to the low $p_T$ region) can be adequately described by a singlenonextensive distribution. These results suggest the dominance of thehard-scattering hadron-production process and the approximate validity of a"no-hair" statistical-mechanical description of the $p_T$ spectra for the whole$p_T$ region at central rapidity for $pp$ collisions at high-energies.

Possible Implication of a Single Nonextensive $p_T$ Distribution for Hadron Production in High-Energy $pp$ Collisions