On the Use of the Tsallis Distribution at LHC Energies

TL;DR

This paper evaluates the effectiveness of the Tsallis distribution in fitting high-energy proton-proton collision data from the LHC, demonstrating excellent fits over a wide range but highlighting ambiguities in parameter determination.

Contribution

It introduces a thermodynamically consistent form of the Tsallis distribution for fitting LHC transverse momentum spectra, extending analysis to very high $p_T$ values.

Findings

Excellent fit over 14 orders of magnitude in $p_T$

Ambiguity in parameter determination prevents conclusions on universality

Distribution successfully describes data up to 200 GeV/c

Abstract

Numerous papers have appeared recently showing fits to transverse momentum ($p_T$) spectra measured at the Large Hadron Collider (LHC) in proton - proton collisions.This talk focuses on the fits extending to very large values of the transverse momentum with $p_T$ values up to 200 GeV/c as measured by the ATLAS and CMS collaborations at $\sqrt{s}$ = 0.9 and 7 TeV. A thermodynamically consistent form of the Tsallis distribution is used for fitting the transverse momentum spectra at mid-rapidity. The fits based on the proposed distribution provide an excellent description over 14 orders of magnitude. Despite this success, an ambiguity is noted concerning the determination of the parameters in the Tsallis distribution. This prevents drawing firm conclusions as to the universality of the parameters appearing in the Tsallis distribution.