  Motivated by the good Tsallis fits to the high-pT spectra in pp collisions at
the LHC, we study the relativistic hard-scattering model and obtain an
approximate analytical expression for the differential hard-scattering cross
section at \eta ~ 0. The power-law behaviour of the transverse spectra, in the
form of d\sigma/dpT^2 \propto 1/pT^n, gives a power index n in the range of
4.5-5.5 for jet production as predicted by pQCD, after the dependencies of the
structure functions and the running coupling constant are properly taken into
account. The power indices for hadron production n are slightly greater than
those for jet production.
