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QCD and Jets

George Sterman

TL;DR

The work surveys perturbative QCD methods for jet phenomenology at high energy, emphasizing infrared safety, factorization, and evolution. It develops a cohesive framework to analyze infrared structure, perform factorization theorems in DIS and hadron-hadron processes, and describe how parton distributions evolve with scale via DGLAP equations. The text connects foundational concepts to practical predictions for jets, DIS structure functions, Drell-Yan processes, and resummation techniques, while outlining higher-order progress and global PDF fits. Together, these elements underpin precision QCD predictions and the interpretation of collider data in the search for new physics.

Abstract

These lectures introduce some of the basic methods of perturbative QCD and their applications to phenomenology at high energy. Emphasis is given to techniques that are used to study QCD and related field theories to all orders in perturbation theory, with introductions to infrared safety, factorization and evolution in high energy hard scattering.

QCD and Jets

TL;DR

The work surveys perturbative QCD methods for jet phenomenology at high energy, emphasizing infrared safety, factorization, and evolution. It develops a cohesive framework to analyze infrared structure, perform factorization theorems in DIS and hadron-hadron processes, and describe how parton distributions evolve with scale via DGLAP equations. The text connects foundational concepts to practical predictions for jets, DIS structure functions, Drell-Yan processes, and resummation techniques, while outlining higher-order progress and global PDF fits. Together, these elements underpin precision QCD predictions and the interpretation of collider data in the search for new physics.

Abstract

These lectures introduce some of the basic methods of perturbative QCD and their applications to phenomenology at high energy. Emphasis is given to techniques that are used to study QCD and related field theories to all orders in perturbation theory, with introductions to infrared safety, factorization and evolution in high energy hard scattering.

Paper Structure

This paper contains 39 sections, 130 equations, 26 figures.

Table of Contents

  1. Introduction
  2. QCD from Asymptotic Freedom to Infrared Safety
  3. Why QCD?
  4. Quantum chromodynamics and asymptotic freedom
  5. Learning to calculate in the new theory
  6. The structure of final states: cosmic rays to quark pairs
  7. Jets in QCD
  8. Introduction to IR Analysis to All Orders
  9. UV and IR divergences in dimensional regularization
  10. Navigating the $n$-plane
  11. The total annihilation cross section
  12. Infrared dimensional regularization in a nutshell
  13. Physical pictures
  14. Power counting
  15. Example: the triangle with scalar quarks
  16. ...and 24 more sections

Figures (26)

  • Figure 1: Picture of deep-inelastic scattering
  • Figure 2: The coupling normalized in position space
  • Figure 3: The parton to hadron transition for two jet events.
  • Figure 4: A current jet in DIS. From the H1 Collaboration.
  • Figure 5: Two jet event in $\rm e^+e^-$ annihilation. From the OPAL Collaboration.
  • ...and 21 more figures