Tsallis fits to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>p</mml:mi><mml:mi>T</mml:mi></mml:msub></mml:math>spectra and multiple hard scattering in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math>collisions at the LHC

Wong, Cheuk‐Yin; Wilk, G.

doi:10.1103/physrevd.87.114007

Cited by 152 publications

(169 citation statements)

References 115 publications

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“…The presence of a large number of partons in the colliding system results in multiple hardscatterings of projectile parton on partons from target nucleon. We find that for the process of a → c in the collision of a parton a with a target of A partons in sequence without a centrality selection, the c T -distribution is given by [35] …”

Section: Parton Multiple Scatteringmentioning

confidence: 99%

“…It is easy to prove that if the generation number λ and the fragmentation fraction z are independent of the jet c T , then the power law and the power index for the p T distribution are unchanged [35]. We note however that in addition to the kinematic decrease of p T as described by (20), the showering generation number λ is governed by an additional criterion on the virtuality, which measures the degree of the off-themass-shell property of the parton.…”

Section: Change Of the Power Index N From Jet Production To Hadron Prmentioning

confidence: 99%

“…Before proceeding to our main point of phenomenological considerations we shall first recapitulate briefly the main results of this attempt to reconcile, as far as possible, the nonextensive distribution with the QCD where, as shown in [35], the only relevant ingredients from QCD are hard scatterings between constituents resulting in the production of jets which further undergo fragmentation, showering, and hadronization to become the observed hadrons.…”

Section: Nonextensive Distribution For P T Spectra In Pp Collisionsmentioning

confidence: 99%

“…We start with the relativistic hardscattering model as proposed in [6] 2 and examined in [5,10,35]. We consider the collision of projectiles A and B in the center-of-mass frame at an energy √ s in the reaction A + B → c + X, with c coming out at midrapidity, η∼ 0.…”

Section: Approximate Hard-scattering Integralmentioning

confidence: 99%

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Possible Implication of a Single Nonextensivep_TDistribution for Hadron Production in High-EnergyppCollisions

Wong

Wilk

Cirto

et al. 2015

EPJ Web of Conferences

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Abstract. Multiparticle production processes in pp collisions at the central rapidity region are usually considered to be divided into independent "soft" and "hard" components. The first is described by exponential (thermal-like) transverse momentum spectra in the low-p T region with a scale parameter T associated with the temperature of the hadronizing system. The second is governed by a power-like distributions of transverse momenta with power index n at high-p T associated with the hard scattering between partons. We show that the hard-scattering integral can be approximated as a nonextensive distribution of a quasi-power-law containing a scale parameter T and a power index n = 1/(q−1), where q is the nonextensivity parameter. We demonstrate that the whole region of transverse momenta presently measurable at LHC experiments at central rapidity (in which the observed cross sections varies by 14 orders of magnitude down to the low p T region) can be adequately described by a single nonextensive distribution. These results suggest the dominance of the hard-scattering hadron-production process and the approximate validity of a "no-hair" statistical-mechanical description of the p T spectra for the whole p T region at central rapidity for pp collisions at high-energies.

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Section: Parton Multiple Scatteringmentioning

confidence: 99%

Section: Change Of the Power Index N From Jet Production To Hadron Prmentioning

confidence: 99%

Section: Nonextensive Distribution For P T Spectra In Pp Collisionsmentioning

confidence: 99%

Section: Approximate Hard-scattering Integralmentioning

confidence: 99%

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Possible Implication of a Single Nonextensivep_TDistribution for Hadron Production in High-EnergyppCollisions

Wong

Wilk

Cirto

et al. 2015

EPJ Web of Conferences

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“…From [66] (courtesy of the authors). In all cases, quite satisfactory fittings are obtained along amazingly many decades.…”

Section: Icnfp 2013mentioning

confidence: 99%

Nonextensive statistical mechanics and high energy physics

Tsallis

Arenas

2014

EPJ Web of Conferences

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Abstract. The use of the celebrated Boltzmann-Gibbs entropy and statistical mechanics is justified for ergodic-like systems. In contrast, complex systems typically require more powerful theories. We will provide a brief introduction to nonadditive entropies (characterized by indices like q, which, in the q → 1 limit, recovers the standard BoltzmannGibbs entropy) and associated nonextensive statistical mechanics. We then present some recent applications to systems such as high-energy collisions, black holes and others. In addition to that, we clarify and illustrate the neat distinction that exists between Lévy distributions and q-exponential ones, a point which occasionally causes some confusion in the literature, very particularly in the LHC literature.

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Statistical mechanics for complex systems: On the structure of q-triplets

Tsallis

2017

Physical and Mathematical Aspects of Symmetries

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A plethora of natural, artificial and social complex systems exists which violate the basic hypothesis (e.g., ergodicity) of Boltzmann-Gibbs (BG) statistical mechanics. Many of such cases can be satisfactorily handled by introducing nonadditive entropic functionals, such as Sq ≡Each class of such systems can be characterized by a set of values {q}, directly corresponding to its various physical/dynamical/geometrical properties. A most important subset is usually referred to as the qtriplet, namely (qsensitivity, q relaxation , qstationary state), defined in the body of this paper. In the BG limit we have qsensitivity = q relaxation = qstationary state = 1. For a given class of complex systems, the set {q} contains only a few independent values of q, all the others being functions of those few. An illustration of this structure was given in 2005 [Tsallis, Gell-Mann and Sato, Proc. Natl. Acad. Sc. USA 102, 15377; TGS]. This illustration enabled a satisfactory analysis of the Voyager 1 data on the solar wind. But the general form of these structures still is an open question. This is so, for instance, for the challenging q-triplet associated with the edge of chaos of the logistic map. We introduce here a transformation which sensibly generalizes the TGS one, and which might constitute an important step towards the general solution.

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Tsallis fits topTspectra and multiple hard scattering inppcollisions at the LHC

Cited by 152 publications

References 115 publications

Possible Implication of a Single Nonextensivep_TDistribution for Hadron Production in High-EnergyppCollisions

Possible Implication of a Single Nonextensivep_TDistribution for Hadron Production in High-EnergyppCollisions

Nonextensive statistical mechanics and high energy physics

Statistical mechanics for complex systems: On the structure of q-triplets

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Tsallis fits topTspectra and multiple hard scattering inppcollisions at the LHC

Cited by 152 publications

References 115 publications

Possible Implication of a Single NonextensivepTDistribution for Hadron Production in High-EnergyppCollisions

Possible Implication of a Single NonextensivepTDistribution for Hadron Production in High-EnergyppCollisions

Nonextensive statistical mechanics and high energy physics

Statistical mechanics for complex systems: On the structure of q-triplets

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Product

Resources

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Possible Implication of a Single Nonextensivep_TDistribution for Hadron Production in High-EnergyppCollisions

Possible Implication of a Single Nonextensivep_TDistribution for Hadron Production in High-EnergyppCollisions