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Non-extensivity of the QCD pT spectra

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arxiv 1712.08334 v3 pith:WWEUGKTM submitted 2017-12-22 hep-ph

classification hep-ph
keywords momentumasymptoticexpectedextensivehighmathrmspectrastatistics
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $q=1.25$.

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  1. Precise determination of pomeron intercept via scaling entropy analysis

    hep-ph 2024-12 conditional novelty 5.0 of 10

    Measuring the entropy of final-state hadron multiplicities in H1 data gives a Pomeron intercept of 0.322 ± 0.007, consistent with the value from inclusive DIS cross-section scaling.

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