Non-extensivity of the QCD pT spectra

Abstract

We try to establish a connection between the hadronic distributions, in proton-proton collisions at very high transverse momentum $p_{\mathrm{T}}$, obtained via perturbative QCD and the Tsallis non extensive statistics. Our motivation is that while the former is expected to be valid at extremely high momentum, due to asymptotic freedom, the latter has been very successful in describing experimental spectra over a wide range of momentum. Matching the non extensive statistics with the asymptotic $p_{\mathrm{T}}$ behaviour expected from QCD leads to the value of $q=1.25$.

4 pages

References in corpus (5)

• Measurements of Strange Particle Production in $p+p$ Collisions at $\sqrt{s}$= 200 GeV
• Measurement of pion, kaon and proton production in proton-proton collisions at $\sqrt{s}=7$ TeV
• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• On the precise determination of the Tsallis parameters in proton - proton collisions at LHC energies
• Analytic results for the Tsallis thermodynamic variables

Cited by in corpus (6)

• Investigating the inclusive transverse spectra in high-energy $pp$ collisions in the context of geometric scaling framework
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• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model
• Analytical calculations of the Quantum Tsallis thermodynamic variables
• Thermal Field Theory of the Tsallis statistics