Analysis of transverse momentum distributions is a useful tool to understand the dynamics of relativistic particles produced in high energy collision. Finding a proper distribution function to approximate the spectra is a vastly developing area of research in particle physics. In this work, we have provided a detailed theoretical description of the application of the unified statistical framework in high energy physics. Here, the transverse momentum spectra of pion measured by experiment at RHIC and LHC are also investigated in the framework of relativistic statistical thermodynamics using unified distribution.
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