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The study of sums of possibly associated Bernoulli random variables has been hampered by an asymmetry between positive correlation and negative correlation. The Conway-Maxwell Binomial (COMB) distribution and its multivariate extension, the…

Methodology · Statistics 2014-04-08 Joseph B. Kadane

Likelihood ratio tests are performed for the hypothesis that charged-particle multiplicities measured in proton-(anti)proton collisions at $\sqrt{s}$ = 0.9 and 2.36 TeV are distributed according to the negative binomial form. Results…

High Energy Physics - Phenomenology · Physics 2011-08-03 Dariusz Prorok

We have measured the distributions of the jet energies in e+e- --> qq^bar g events, and of the three orientation angles of the event plane, using hadronic $Z^0$ decays collected in the SLD experiment at SLAC. We find that the data are well…

High Energy Physics - Experiment · Physics 2008-11-26 K. Abe

The negative binomial distribution has been widely used as a more flexible model than the Poisson distribution for count data. However, when the true data-generating process is Poisson, it is often challenging to distinguish it from a…

Statistics Theory · Mathematics 2026-04-07 Yingying Yang , Niloufar Dousti Mousavi , Zhou Yu , Jie Yang

Binomial distributions capture the probabilities of `heads' outcomes when a (biased) coin is tossed multiple times. The coin may be identified with a distribution on the two-element set {0,1}, where the 1 outcome corresponds to `head'. One…

Probability · Mathematics 2026-03-03 Bart Jacobs

We construct jet observables for energetic top quarks that can be used to determine a short distance top quark mass from reconstruction in e+ e- collisions with accuracy better than Lambda_{QCD}. Using a sequence of effective field theories…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sean Fleming , Andre H. Hoang , Sonny Mantry , Iain W. Stewart

The charged particle multiplicity in hadronic three-jet events from Z decays is investigated. The topology dependence of the event multiplicity is found to be well described by a modified leading logarithmic prediction. A parameter fit of…

High Energy Physics - Experiment · Physics 2008-11-26 The DELPHI Collaboration , J. Abdallah

We discuss some important issues concerning multiplicities in quark and gluon jets in e+e- annihilation. In QCD the properties of a jet in general depend on two scales, the energy and virtuality of the jet. Frequently theoretical…

High Energy Physics - Phenomenology · Physics 2016-09-06 Patrik Eden , Gosta Gustafson

We re-analyze the conditions for the phenomenon of intermittency (self-similar fluctuations) to occur in models of multifragmentation. Analyzing two different mechanisms, the bond-percolation and the ERW (Elattari, Richert and Wagner)…

Nuclear Theory · Physics 2008-11-26 D. Lacroix , R. Peschanski

Motivated by new physics models which lead to final states containing a high multiplicity of bottom and top quarks, we develop a tagging strategy to suppress reducible and non-reducible multi-jet backgrounds. The idea takes advantage of the…

High Energy Physics - Phenomenology · Physics 2024-01-09 Enrico Lunghi , Beni Pazar

Negative probabilities arise primarily in physics, statistical quantum mechanics and quantum computing. Negative probabilities arise as mixing distributions of unobserved latent variables in Bayesian modeling. Our goal is to provide a link…

Quantum Physics · Physics 2024-09-06 Nick Polson , Vadim Sokolov

The finite mass of the heavy quark suppresses the collimated radiations, which is generally referred to as the dead cone effect. In this paper, we study the distribution of hadron multiplicity over the hadron opening angle with respect to…

High Energy Physics - Phenomenology · Physics 2024-04-25 Chuan-Hui Jiang , Hai Tao Li , Shi-Yuan Li , Zong-Guo Si

The charged-particle multiplicity distribution and its moments have been measured, for all hadronic as well as for light-quark and b-quark events in e+e- collisions at the Z mass. The Hq moments derived from the charged-particle…

High Energy Physics - Experiment · Physics 2007-05-23 D. J. Mangeol

A study of the first four moments (mean, variance, skewness, and kurtosis) and their products ($\kappa\sigma^{2}$ and $S\sigma$) of the net-charge and net-proton distributions in Au+Au collisions at $\sqrt{\rm s_{NN}}$ = 7.7-200 GeV from…

Nuclear Experiment · Physics 2015-06-11 Terence J. Tarnowsky , Gary D. Westfall

Factorial moments are convenient tools in particle physics to characterize the multiplicity distributions when phase-space resolution ($\Delta$) becomes small. They include all correlations within the system of particles and represent…

Statistical Finance · Quantitative Finance 2011-08-31 Laurent Schoeffel

The properties of quark and gluon jets depend on jet definitions and event selection. I discuss how these can be included in calculations and present jet definitions designed to give unbiased jets.

High Energy Physics - Phenomenology · Physics 2016-09-06 P. Eden

Heavy hadron production in $e^+e^-$ annihilation is studied in the framework of heavy-quark recombination mechanism. This mechanism predicts a new type of 3-jet event such as $b\bar{b}q$ or $b\bar{b}\bar{q}$, which is power-suppressed…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu Jia

We derive a factorization theorem for the jet mass distribution with a given $p_T^J$ for the inclusive production, where $p_T^J$ is a large jet transverse momentum. Considering the small jet radius limit $(R\ll 1)$ we factorize the…

High Energy Physics - Phenomenology · Physics 2018-02-14 Ahmad Idilbi , Chul Kim

We calculate the mean number of subjets in quark and gluon jets in the final state of e^+e^- annihilation. Since `quark' and `gluon' jets are scheme-dependent objects, we stress the importance of using the same definition as in experimental…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael H. Seymour

The HADES experiment investigates the reaction products of heavy-ion collisions at a few GeV, providing access to QCD matter at high net-baryon densities. A particular focus is the reconstruction of higher-order cumulant ratios of proton…

Nuclear Experiment · Physics 2025-10-20 Marvin Nabroth