Analysis of multiplicity moments for hadronic multiparticle data

Carruthers, Peter; Eggers, H. C.; Sarčević, Ina

doi:10.1016/0370-2693(91)90431-o

Cited by 107 publications

(70 citation statements)

References 14 publications

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“…In hadronic interactions [2], both in one [22] and several dimensions [36], the factorial moments were found to be basically composed of two-particle correlations. Our study shows sensitive contributions of correlations of orders q = 3 and even 4 to the dynamical fluctuations in e + e − annihilation.…”

Section: Factorial Moments and Cumulants In Hadronic Collisonsmentioning

confidence: 99%

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Intermittency and correlations in hadronic Z $^0$ decays

Abbiendi¹,

Ackerstaff²,

Alexander³

et al. 1999

Eur. Phys. J. C

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Abstract.A multidimensional study of local multiplicity fluctuations and multiparticle correlations of hadrons produced in Z 0 decays is performed. The study is based on the data sample of more than 4×106 events recorded with the OPAL detector at LEP. The fluctuations and correlations are analysed in terms of the normalized scaled factorial moments and cumulants up to the fifth order. The moments are observed to have intermittency-like behaviour, which is found to be more pronounced with increasing dimension. The large data sample allows for the first time a study of the factorial cumulants in e + e − annihilation. The analysis of the cumulants shows the existence of genuine multiparticle correlations with a strong intermittency rise up to higher orders. These correlations are found to be stronger in higher dimensions. The decomposition of the factorial moments into lower-order correlations shows that the dynamical fluctuations have important contributions from genuine many-particle correlations. The Monte Carlo models Jetset 7.4 and Herwig 5.9 are found to reproduce the trend of the measured moments and cumulants but they underestimate the magnitudes. The results are found to be consistent with QCD jet formation dynamics, although additional contributions from other mechanisms cannot be excluded. 240The OPAL Collaboration: Intermittency and correlations in hadronic Z 0 decays

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Section: Factorial Moments and Cumulants In Hadronic Collisonsmentioning

confidence: 99%

“…In order to find contributions from genuine multiparticle correlations to the factorial moments we use the relations between the moments and the cumulants [22],…”

Section: Factorial Cumulant Moments and Genuine Multiparticle Correlamentioning

confidence: 99%

Intermittency and correlations in hadronic Z $^0$ decays

Abbiendi¹,

Ackerstaff²,

Alexander³

et al. 1999

Eur. Phys. J. C

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“…and so on for higher orders [14]. Whenever there are no true correlations, these cumulants become zero.…”

Section: Cumulants In Heavy-ion Collisionsmentioning

confidence: 98%

Three-Dimensional Statistical Model for Density Fluctuations in Heavy Ion Collisions

Eggers

Elze

Sarčević

1994

Int. J. Mod. Phys. A

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A statistical field theory of particle production is presented using a gaussian functional in three dimensions. Identifying the field with the particle density fluctuation results in zero correlations of order three and higher, while the second order correlation function is of a Yukawa form. A detailed scheme for projecting the theoretical three-dimensional correlation onto data of three and fewer dimensions illustrates how theoretical predictions are tested against experimental moments in the different dimensions. An example given in terms of NA35 parameters should be testable against future NA35 data.

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“…The first is that the generating function (2) and its cumulants are not translationally invariant, in conflict with the homogeneous statistics characterising experimental results. The second complication arises because experimental cumulants are derived from measured moments rather than the other way round [6], requiring translational averaging over two-point moments rather than two-point cumulants for theory also. The proper procedure is hence to convert theoretical cumulants (8) to moments, average these to restore translational invariance, and then convert them back to translationally invariant cumulants for experimental comparison.…”

mentioning

confidence: 99%

“…Analytic expressions for ρ r,s (t, t+d) and ρ r (t) = (ln ε t ) r are readily derived by inserting the cumulants (8) into the usual relations between n-variate moments and cumulants [6] and thence into (15).…”

mentioning

confidence: 99%

Translationally invariant cumulants in energy cascade models of turbulence

2001

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In the context of random multiplicative energy cascade processes, we derive analytical expressions for translationally invariant one-and two-point cumulants in logarithmic field amplitudes. Such cumulants make it possible to distinguish between hitherto equally successful cascade generator models and hence supplement lowest-order multifractal scaling exponents and multiplier distributions.Although the underlying hydrodynamic equations are deterministic, the statistical description of fully developed turbulence has by now a long tradition [1]. Random multiplicative energy cascade models form a particularly simple and robust class of such statistical models. While different theoretical models can reproduce experimentally observed multifractal scaling exponents rather easily [2], observed multiplier distributions [3,4] eliminate many candidate cascade generators. Nevertheless, a number of competing generators remain, equally successful in reproducing both scaling exponents and multipliers. To make further progress in ferreting out the best cascade generator within this approximation, new observables are clearly called for.While most experiments have concentrated on measuring statistics in the energy dissipation density ε, we recently found a complete and analytical solution working in ln ε rather than ε itself [5]. In this letter, we show that cumulants in ln ε are analytically calculable even when restoring translational invariance to the solutions to emulate the spatial homogeneity of experimental turbulence statistics. Cumulants turn out to be powerful tools which for third and fourth

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Analysis of multiplicity moments for hadronic multiparticle data

Cited by 107 publications

References 14 publications

Intermittency and correlations in hadronic Z $^0$ decays

Intermittency and correlations in hadronic Z $^0$ decays

Three-Dimensional Statistical Model for Density Fluctuations in Heavy Ion Collisions

Translationally invariant cumulants in energy cascade models of turbulence

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