  Phenomenological Tsallis fits to the CMS, ATLAS, and ALICE transverse
momentum spectra of hadrons for pp collisions at LHC were recently found to
extend over a large range of the transverse momentum. We investigate whether
the few degrees of freedom in the Tsallis parametrization may arise from the
relativistic parton-parton hard-scattering and related processes. The effects
of the multiple hard-scattering and parton showering processes on the power law
are discussed. We find empirically that whereas the transverse spectra of both
hadrons and jets exhibit power-law behavior of 1/pT^n at high pT, the power
indices n for hadrons are systematically greater than those for jets, for which
n~4-5.
