Physics:Quantum data analysis/Correlation Functions

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Correlation functions quantify how particles, detector signals, or event-level quantities are related beyond independent random occurrence. In particle physics they are used to study jets, collective flow, femtoscopy, resonance structure, background shapes, and fluctuations. A correlation function can reveal structure that is invisible in a single-particle distribution.[1]

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Correlation functions represented as relationships among particles in an event sample.

Pair and multiparticle correlations

Two-particle correlations compare the joint distribution of particle pairs with a reference distribution. Higher-order correlations extend the idea to groups of particles and can test collective behavior or nontrivial event structure.[1]

Physics interpretation

Correlations may arise from conservation laws, decays, jets, quantum statistics, final-state interactions, collective flow, or detector effects. Interpreting them requires careful construction of reference samples and systematic checks.[2]

Analysis choices

Binning, normalization, event mixing, acceptance correction, and background subtraction define the meaning of a measured correlation. Small changes in these choices can alter the visible structure.[3]

See also

Table of contents (60 articles)

Index

Full contents

15. Machine Learning (1) Back to index

References

  1. 1.0 1.1 Cowan, Glen (1998). Statistical Data Analysis. Oxford University Press. ISBN 978-0-19-850156-5. 
  2. "Review of Particle Physics". Physical Review D 110 (3): 030001. 2024. doi:10.1103/PhysRevD.110.030001. 
  3. Lyons, Louis (1986). Statistics for Nuclear and Particle Physicists. Cambridge University Press. ISBN 978-0-521-37934-2. 
Author: Sergei V. Chekanov
Author: Claude Pruneau
Author: Harold Foppele

Source attribution: Physics:Quantum data analysis/Correlation Functions