Quantum Chromodynamics (CERN-2014-001)

TL;DR

This paper reviews fundamental aspects of perturbative Quantum Chromodynamics (QCD), including divergence handling, factorization, evolution equations, and resummation techniques, and discusses their applications to jet substructure analysis and heavy-quark decay studies.

Contribution

It provides a comprehensive overview of perturbative QCD methods and their recent applications in jet physics and heavy-quark decay processes.

Findings

Clarifies the role of infrared safety and divergences in QCD calculations

Summarizes key factorization theorems and evolution equations

Highlights recent advances in jet substructure and heavy-quark decay analysis

Abstract

I review the basics of perturbative QCD, including infrared divergences and safety, collinear and $k_T$ factorization theorems, and various evolution equations and resummation techniques for single- and double-logarithmic corrections. I then elaborate its applications to studies of jet substructures and hadronic two-body heavy-quark decays.