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  • Book
  • Open Access
  • © 2023

Particle Polarization in High Energy Physics

An Introduction and Case Studies on Vector Particle Production at the LHC

  • Authored by leading experts in the field

  • Tutorial and self-contained presentation

  • Emphasizes discussion of use cases and methodological pitfalls

  • This book is open access, which means that you have free and unlimited access

Part of the book series: Lecture Notes in Physics (LNP, volume 1002)

  • 9247 Accesses

Buying options

Softcover Book USD 59.99
Price excludes VAT (USA)

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xv
  2. Dilepton Decays of Vector Particles

    • Pietro Faccioli, Carlos Lourenço
    Pages 1-37Open Access
  3. Reference Frames and Transformations

    • Pietro Faccioli, Carlos Lourenço
    Pages 39-83Open Access
  4. A Frame-Independent Study of the Angular Distribution

    • Pietro Faccioli, Carlos Lourenço
    Pages 85-120Open Access
  5. Meaning and Interpretation of the Frame-Independent Polarization

    • Pietro Faccioli, Carlos Lourenço
    Pages 121-146Open Access
  6. Smearing Effects in Non-planar Processes

    • Pietro Faccioli, Carlos Lourenço
    Pages 147-172Open Access
  7. Polarization in Cascade Decays

    • Pietro Faccioli, Carlos Lourenço
    Pages 173-242Open Access
  8. Two-Body Decay Distributions Beyond the Dilepton Case

    • Pietro Faccioli, Carlos Lourenço
    Pages 243-281Open Access
  9. Back Matter

    Pages 283-302

About this book

This open-access book addresses the following questions: how does the polarization of a particle, i.e., the angular momentum state in which it is produced, manifest itself in nature? What are the concepts and tools needed to perform rigorous measurements providing complete and unambiguous physical information?

Polarization measurements are important because they reflect the nature and coupling properties of a particle and provide unique insights into the underlying fundamental interactions, playing a central role in the study and understanding of the mechanisms of particle production.

Besides gradually reviewing many fundamental notions, the book presents several case studies relevant to physics analyses underway at the LHC, including the lepton-antilepton decays of vector states (Drell–Yan, Z and W bosons, quarkonia, etc.). The book also offers a detailed discussion of cascade decays, where the vector particle is a daughter of another particle, as well as a survey of typical angular distributions of particles of any integer or half-integer spin.

With a visual approach to the presentation of the concepts and frequent use of pedagogical examples, taken from real measurements, gedankenexperiments, or detailed simulations, the book focuses on aspects of polarization measurements that are sometimes underestimated or left unexplored in experimental analyses, such as the importance of the choice of the reference frame, the existence of frame-independent relations, and the shapes of the physically allowed parameter domains. Several examples are provided of pitfalls introduced when the intrinsic multidimensionality of the problem is neglected in exchange for a simplified analysis.

Targeting an audience of graduate students, post-docs, and other researchers involved in analyses of LHC data, this book helps to establish a solid bridge between high precision data, existing or soon to be collected, and accurate measurements, including high-sensitivity tests of the Standard Model.


  • Angular Distributions of Particle Decays
  • Angular Momentum in Experimental Hep
  • Decay of Standard-model Vector Bosons
  • Frame-invariant Relations
  • LHC Angular Momentum
  • Polarization Measurement in Hep
  • Polarizazion Frames
  • Open Access

Authors and Affiliations

  • LIP, Laboratório de Instrumentação e Física Experimental de Partículas, Lisbon, Portugal

    Pietro Faccioli

  • CERN, European Organization for Nuclear Research, Geneva, Switzerland

    Carlos Lourenço

Bibliographic Information

Buying options

Softcover Book USD 59.99
Price excludes VAT (USA)