Multifractality and negative binomial distributions in high-energy interactions

Malik, S.

doi:10.1088/0954-3899/22/11/007

Cited by 5 publications

(2 citation statements)

References 49 publications

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“…The differential cross section as a function of the Z boson p T p T (Z) is predicted at NLO and NNLO. The p T (Z) distributions can provide an important constraint on the gluon PDF [32]. The NLO and NNLO differential distribution shapes are consistent for the p T (Z) variable as given in Figure 1 (left).…”

Section: Phenomenological Resultsmentioning

confidence: 58%

Precise calculation of differential cross sections for the Z boson plus jets production in proton-proton collisions at a center-of-mass energy of 13 TeV

2019

Turk J Phys

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The differential cross section predictions for the associated production of a Z boson and jets are presented in proton-proton collisions at a center-of-mass energy of 13 TeV. The differential cross sections are calculated by using a computational framework for the dielectron decay mode of the Z boson. Higher-order differential cross section predictions are obtained in the fiducial phase space and are compared at next-to-leading order (NLO) and next-to-NLO (NNLO) in perturbative quantum chromodynamics (pQCD). The predicted results are reported as functions of the variables including the jet multiplicity, the invariant mass of the Z boson, and transverse momenta of the Z boson and of the decay products. The predicted results are also reported for the angular correlation variables for the final state decay products. The differential results are generally improved in precision upon inclusion of the NNLO corrections. The total cross sections are calculated in the fiducial phase space at different orders in pQCD up to NNLO. The total production rates are predicted more accurately by the NNLO calculation.

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Section: Phenomenological Resultsmentioning

confidence: 58%

Precise calculation of differential cross sections for the Z boson plus jets production in proton-proton collisions at a center-of-mass energy of 13 TeV

2019

Turk J Phys

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“…Fractal properties of the NB distribution have been studied elsewhere [6,[21][22][23][24]. To demonstrate the fractality of the NB distribution, it has been proposed to use its generalization [22] or to study individual sources obtained by consideration of different topologies, e.g.…”

Section: Normalized Factorial Moments and Cumulants From Various Para...mentioning

confidence: 99%

Description of local multiplicity fluctuations and genuine multiparticle correlations

Sarkisyan

2000

Physics Letters B

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Various parametrizations of the multiplicity distribution are studied using the recently published large statistics OPAL results on multidimensional local fluctuations and genuine correlations in e + e − → Z 0 → hadrons. The measured normalized factorial and cumulant moments are compared to the predictions of the negative binomial distribution, the modified and generalized versions of it, the log-normal distribution and the model of the generalized birth process with immigration. This is the first study which uses the multiplicity distribution parametrizations to describe high-order genuine correlations. Although the parametrizations fit well the measured fluctuations and correlations for low orders, they do show certain deviations at high orders. We have shown that it is necessary to incorporate the multiparticle character of the correlations along with the property of self-similarity to attain a good description of the measurements. * Email address: edward@lep1.tau.ac.il 1 Earlier, using correlation (strip) integrals to reduce statistical errors, multiparticle genuine correlations have been searched for in hadron-hadron [9,10] and lepton-hadron [11] interactions. It is worth to note that except for problems arising due to various possibilities in defining of a proper topology of particles and a distance between them (see e.g. [2]), a rather important difficulty in interpreting results could come from a translation invariance breaking of the many-particle distributions [12]. This will lead to different results on moments/cumulants according to a variable used because different variables are sensitive to different hadroproduction mechanisms [12,13]. For example, in the high-order genuine correlations obtained in Ref. [9,11] the study is performed in four-momentum difference squared, Q 2 , dependent on Bose-Einstein correlations, whereas in the pseudorapidity analysis [10] no correlations higher than two-particle ones were found, since (pseudo)rapidity seems [13] to be more "natural" variable to search for jet formation than e.g. for Bose-Einstein correlations.

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Study of negative binomial distribution in neutrino and anti-neutrino–nucleus interactions of CHORUS experiment

Kamışcıoğlu

2024

Nuclear Physics B

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Multifractality and negative binomial distributions in high-energy interactions

Cited by 5 publications

References 49 publications

Precise calculation of differential cross sections for the Z boson plus jets production in proton-proton collisions at a center-of-mass energy of 13 TeV

Precise calculation of differential cross sections for the Z boson plus jets production in proton-proton collisions at a center-of-mass energy of 13 TeV

Description of local multiplicity fluctuations and genuine multiparticle correlations

Study of negative binomial distribution in neutrino and anti-neutrino–nucleus interactions of CHORUS experiment

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