  Transverse momentum distributions measured by the STAR and PHENIX
collaborations at the Relativistic Heavy Ion Collider and by the ALICE, ATLAS
and CMS collaborations at the Large Hadron Collider can be considered in the
framework of relativistic thermodynamics using the Tsallis distribution.
Theoretical issues are clarified concerning the thermodynamic consistency in
the case of relativistic high energy quantum distributions. An improved form is
proposed for describing the transverse momentum distribution and fits are
presented together with estimates of the parameter q and the temperature T.
