RECORD
Internal cumulants for femtoscopy with fixed charged multiplicity
High Energy Physics - Experiment · Submitted 28 Mar 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The resulting internal cumulants and their averaging over several multiplicities fulfil all requirements of correctly taking into account nonpoissonian multiplicity distributions as well as yielding a null result for uncorrelated fixed-N samples.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
A detailed understanding of all effects and influences on higher-order correlations is essential. At low charged multiplicity, the effect of a nonpoissonian multiplicity distribution can significantly distort correlations. Evidently, the reference samples with respect to which correlations are measured should yield a null result in the absence of correlations. We show how the careful specification of desired properties necessarily leads to an average-of-multinomials reference sample. The resulting internal cumulants and their averaging over several multiplicities fulfil all requirements of correctly taking into account nonpoissonian multiplicity distributions as well as yielding a null result for uncorrelated fixed-N samples. Various correction factors are shown to be approximations at best. Careful rederivation of statistical variances and covariances within the frequentist approach yields errors for cumulants that differ from those used so far. We finally briefly discuss the implementation of the analysis through a multiple event buffer algorithm.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A detailed understanding of all effects and influences on higher-order correlations is essential. | background 1.00 | 0.05 | 0.03 | asserted 0.98 |
| s1 | At low charged multiplicity, the effect of a nonpoissonian multiplicity distribution can significantly distort correlations. | background 0.98 | 0.12 | 0.05 | hedged possibility 0.55 |
| s2 | Evidently, the reference samples with respect to which correlations are measured should yield a null result in the absence of correlations. | background 0.91 | 0.07 | 0.10 | asserted 0.91 |
| s3 | We show how the careful specification of desired properties necessarily leads to an average-of-multinomials reference sample. | contribution 0.57 | 0.93 | 0.30 | asserted 1.00 |
| s4 | The resulting internal cumulants and their averaging over several multiplicities fulfil all requirements of correctly taking into account nonpoissonian multiplicity distributions as well as yielding a null result for uncorrelated fixed-N samples. | result 0.74 | 0.91 | 0.78 | asserted 1.00 |
| s5 | Various correction factors are shown to be approximations at best. | result 0.90 | 0.56 | 0.06 | asserted 0.85 |
| s6 | Careful rederivation of statistical variances and covariances within the frequentist approach yields errors for cumulants that differ from those used so far. | result 0.66 | 0.94 | 0.08 | asserted 1.00 |
| s7 | We finally briefly discuss the implementation of the analysis through a multiple event buffer algorithm. | method 0.94 | 0.75 | 0.03 | asserted 0.82 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
A detailed understanding of all effects and influences on higher-order correlations is essential. At low charged multiplicity, the effect of a nonpoissonian multiplicity distribution can significantly distort correlations. Evidently, the reference samples with respect to which correlations are measured should yield a null result in the absence of correlations. We show how the careful specification of desired properties necessarily leads to an average-of-multinomials reference sample. The resulting internal cumulants and their averaging over several multiplicities fulfil all requirements of correctly taking into account nonpoissonian multiplicity distributions as well as yielding a null result for uncorrelated fixed-N samples. Various correction factors are shown to be approximations at best. Careful rederivation of statistical variances and covariances within the frequentist approach yields errors for cumulants that differ from those used so far. We finally briefly discuss the implementation of the analysis through a multiple event buffer algorithm.
Human review
How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 29 sentences without a confident label
Builds on 1 paper
-
Building on Ref. [ref] , we propose doing so now.
Generalized moments and cumulants for samples of fixed multiplicity · Correlations as a function of charged multiplicity · 0.95
Uses the method or tool of 1 paper
-
As set out in Ref. [ref] , such normalisation is achieved for fixed $N$ by dividing the internal cumulants by the corresponding reference distribution density, which for the case at hand is given by Eq. ([ref]).
Generalized moments and cumulants for samples of fixed multiplicity · Internal cumulants for fixed $$ · 0.83
Compares with 1 paper
-
In the present notation, the cumulant used in Ref. [ref] reads [equation] i.e. a correction for an $N$-multinomial rather than the weighted sum of $n$-multinomials used in Eqs. ([ref])–([ref]). ] In third order, we have correspondingly [equation] Note also that ([ref]) holds for the normalisation only and not for the last term in $κ_3^I$, which is $(3F_2-F_3) ρ_1⊗ρ_1⊗ρ_1$ — but that is already taken care of in the formula ([ref]) for $κ_3^I$ itself.
Transverse-longitudinal HBT correlations in proton-antiproton collisions at root(s) = 630 GeV · Averaged internal cumulants · 0.95
Cites as support 1 paper
-
As pointed out by [ref] , momentum conservation exerts greatest influence at large pair or triplet momenta and hence mostly at large $Q$, where it may lead to moments and cumulants which do not converge to a constant as presupposed in most fits.
Global Conservation Laws and Femtoscopy of Small Systems · Discussion and Conclusions · 0.96
Cites as background 23 papers
-
Second-order differential cumulants, normally termed “correlation functions”, have likewise been ubiquitous for decades [ref] both in charged-particles correlations [ref] and in femtoscopy since they provide information on spacetime characteristics of the emitting sources, most recently at the LHC [ref] .
Measurement of Bose-Einstein Correlations in pp Collisions at sqrt(s)=0.9 and 7 TeV · Cumulants in multiparticle physics · 0.95
-
Second-order differential cumulants, normally termed “correlation functions”, have likewise been ubiquitous for decades [ref] both in charged-particles correlations [ref] and in femtoscopy since they provide information on spacetime characteristics of the emitting sources, most recently at the LHC [ref] .
Measurement of Bose-Einstein correlations with first CMS data · Cumulants in multiparticle physics · 0.95
-
Second-order differential cumulants, normally termed “correlation functions”, have likewise been ubiquitous for decades [ref] both in charged-particles correlations [ref] and in femtoscopy since they provide information on spacetime characteristics of the emitting sources, most recently at the LHC [ref] .
Two-pion Bose-Einstein correlations in central Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV · Cumulants in multiparticle physics · 0.95
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.