Quasi-Power Law Ensembles: Nonextensive Statistics or Superstatistics

Area of Science:

• High Energy Physics
• Statistical Mechanics
• Quantum Chromodynamics

Background:

• Transverse-momentum spectra in multiparticle production often exhibit power-law behavior.
• Tsallis-type functions are commonly used to parametrize these spectra, implying nonextensive statistics.
• Alternatively, power-law spectra can arise from local temperature fluctuations in the hadronizing medium.

Purpose of the Study:

• To investigate the relationship between temperature fluctuations and inter-particle correlations in multiparticle production.
• To develop a method for distinguishing event-by-event temperature fluctuations from event-to-event variability.
• To apply these findings to the characterization of high-multiplicity final states at the Large Hadron Collider.

Main Methods:

• Theoretical modeling of multiparticle production spectra.
• Analysis of inter-particle correlations induced by temperature fluctuations.
• Development of a strategy to separate different types of fluctuations.

Main Results:

• Temperature fluctuations inherently generate Tsallis-like power-law distributions.
• These fluctuations necessarily lead to non-trivial inter-particle correlations.
• A method is proposed to differentiate event-by-event fluctuations from event-to-event variability.

Conclusions:

• Local temperature fluctuations provide an alternative explanation for Tsallis-like spectra without invoking nonextensive statistics directly.
• Inter-particle correlations serve as a key signature of these temperature fluctuations.
• The proposed discrimination strategy is relevant for analyzing high-density final states at the Large Hadron Collider.