Tsallis Fits to pT Spectra and Multiple Hard Scattering in pp Collisions at the LHC

Abstract

Phenomenological Tsallis fits to the CMS, ATLAS, and ALICE transverse momentum spectra of hadrons for pp collisions at LHC were recently found to extend over a large range of the transverse momentum. We investigate whether the few degrees of freedom in the Tsallis parametrization may arise from the relativistic parton-parton hard-scattering and related processes. The effects of the multiple hard-scattering and parton showering processes on the power law are discussed. We find empirically that whereas the transverse spectra of both hadrons and jets exhibit power-law behavior of 1/pT^n at high pT, the power indices n for hadrons are systematically greater than those for jets, for which n~4-5.

19 pages, 8 figures

References in corpus (59)

• HERWIG 6.5: an event generator for Hadron Emission Reactions With Interfering Gluons (including supersymmetric processes)
• Reaction Operator Approach to Non-Abelian Energy Loss
• Transverse-momentum and pseudorapidity distributions of charged hadrons in pp collisions at sqrt(s) = 7 TeV
• Charged-particle multiplicities in pp interactions measured with the ATLAS detector at the LHC
• Transverse-Momentum-Ordered Showers and Interleaved Multiple Interactions
• Measurements of Strange Particle Production in $p+p$ Collisions at $\sqrt{s}$= 200 GeV
• Interleaved Parton Showers and Tuning Prospects
• Scaling behavior at high p_T and the p/pi ratio
• Transverse momentum and pseudorapidity distributions of charged hadrons in pp collisions at sqrt(s) = 0.9 and 2.36 TeV
• Production of pions, kaons and protons in pp collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• Multiple Interactions and the Structure of Beam Remnants
• The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC
• Relativistic Thermodynamics: Transverse Momentum Distributions in High-Energy Physics
• Measurement of neutral mesons in p+p collisions at sqrt(s) = 200 GeV and scaling properties of hadron production
• Transverse momentum spectra of charged particles in proton-proton collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• Strange particle production in proton-proton collisions at $\sqrt{s}=0.9$ TeV with ALICE at the LHC
• A ZEUS next-to-leading-order QCD analysis of data on deep inelastic scattering
• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
• Nonadditive entropy: the concept and its use
• Next-to-Leading Order Fragmentation Functions for Pions and Kaons
• Measurement of the Inclusive Jet Cross Section in pp Collisions at sqrt(s) = 7 TeV
• QCD Radiation off Heavy Particles
• An NLO QCD analysis of inclusive cross-section and jet-production data from the ZEUS experiment
• Zeroth Law compatibility of non-additive thermodynamics
• Measurement of the inclusive differential jet cross section in pp collisions at $\sqrt{s}$ = 2.76 TeV
• Charged particle transverse momentum spectra in pp collisions at sqrt(s) = 0.9 and 7 TeV
• Pedestal and Peak Structure in Jet Correlation
• Tsallis Fits to p_T Spectra for pp Collisions at LHC
• The Isolated Photon Cross Section in p pbar Collisions at sqrt(s) = 1.8 TeV
• Consequences of temperature fluctuations in observables measured in high energy collisions
• High-p_T Jets in pbarp Collisions at sqrt{s} = 630 and 1800 GeV
• Effects of Parton Intrinsic Transverse Momentum on Photon Production in Hard-Scattering Processes
• The multiplicity dependence of inclusive $p_t$ spectra from p-p collisions at $\sqrt{s}$ = 200 GeV
• Comparison of the Isolated Direct Photon Cross Sections in $p\bar{p}$ Collisions at $\sqrt{s}=1.8$ TeV and $\sqrt{s}=0.63$ TeV
• Generalised Tsallis Statistics in Electron-Positron Collisions
• Higher-Twist Dynamics in Large Transverse Momentum Hadron Production
• Multiparton Interactions and Rescattering
• Production of strange particles at intermediate pT at RHIC
• Ratio of the Isolated Photon Cross Sections at \sqrt{s} = 630 and 1800 GeV
• Estimating the inelasticity with the information theory approach
• Particle production in p-p collisions and prediction for LHC energy
• Non-extensivity Parameter of Thermodynamical Model of Hadronic Interactions at LHC energies
• Evolution of minimum-bias parton fragmentation in nuclear collisions
• Microcanonical Jet-fragmentation in proton-proton collisions at LHC Energy
• Puzzles in Hadronic Physics and Novel Quantum Chromodynamics Phenomenology
• Rapidity Spectra Analysis in Terms of Non Extensive Statistic Approach
• Extrapolating parton fragmentation to low $Q^2$ in $e^{+}$-$e^{-}$ collisions
• On the possibility of q-scaling in high energy production processes
• Minijet transverse spectrum in high-energy hadron-nucleus collisions
• Dependence of Ridge Formation on Trigger Azimuth: Correlated Emission Model
• Azimuth quadrupole component spectra on transverse rapidity ${\mathbf{y}}_{\mathbf{t}}$ for identified hadrons from Au-Au collisions at $\sqrt{s_{NN}}=$ 200 GeV
• Nonextensive information entropy for stochastic networks
• The imprints of superstatistics in multiparticle production processes
• Hard Parton Rescatterings and Minijets in Nuclear Collisions at LHC
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• Associated Particle Distributions in Jets Produced in Heavy-Ion Collisions
• Is hydrodynamics relevant to RHIC collisions?
• Elliptic Flow arising from Ridges due to Semi-hard Scattering
• Equivalence of volume and temperature fluctuations in power-law ensembles

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