Physics:Quantum data analysis/Cross Sections

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A cross section is the standard quantity used to express the probability rate for a specified particle interaction. In particle physics it translates observed event counts into an effective interaction area after accounting for luminosity, selection efficiency, detector acceptance, backgrounds, and bin migration. Cross sections are central because they allow measurements from different experiments, energies, and final states to be compared with theory predictions.[1]

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Cross sections represented as a compact particle-physics data analysis workflow.

Inclusive and differential forms

An inclusive cross section counts all events satisfying a definition, while a differential cross section describes how the rate changes with variables such as transverse momentum, rapidity, invariant mass, or scattering angle.[1]

Experimental extraction

A measured cross section usually requires background subtraction, efficiency correction, luminosity normalization, and uncertainty propagation. When detector resolution moves events between bins, unfolding or forward-folded comparisons may be used.[2]

Theory comparison

Cross sections are compared with perturbative calculations, event-generator predictions, and effective models. Agreement or disagreement depends on the observable definition, phase-space cuts, order of calculation, and treatment of systematic uncertainties.[3]

See also

Table of contents (60 articles)

Index

Full contents

15. Machine Learning (1) Back to index

References

  1. 1.0 1.1 "Review of Particle Physics". Physical Review D 110 (3): 030001. 2024. doi:10.1103/PhysRevD.110.030001. 
  2. Cowan, Glen (1998). Statistical Data Analysis. Oxford University Press. ISBN 978-0-19-850156-5. 
  3. Halzen, Francis; Martin, Alan D. (1984). Quarks and Leptons: An Introductory Course in Modern Particle Physics. Wiley. ISBN 978-0-471-88741-6. 
Author: Sergei V. Chekanov
Author: Claude Pruneau
Author: Harold Foppele

Source attribution: Physics:Quantum data analysis/Cross Sections