Renormalisation

2025/11/03 by Di Giustino, Leonardo
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics

paper · doi:10.48550/arxiv.2511.02005

Abstract

We give an introduction to renormalisation, focusing first on a pedagogical description of fundamental concepts of the procedure and its features, then we introduce the renormalisation group and its equations. We discuss then the case of gauge theories such as QCD summarising the current state of the art. We introduce the renormalisation scale setting problem in QCD and we give an illustration of the possible optimisation procedures currently in use.

Citations

• Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections
• A reanalysis of event shape distributions in electron-positron annihilation
• Scheme-independent determination of the QCD running coupling at all scales from jet observables using the principle of maximum conformality and infinite-order scale setting
• High precision tests of QCD without scale or scheme ambiguities
• High precision tests of QCD without scale or scheme ambiguities
• Deep-Inelastic Scattering: What do we know ?
• The QCD running coupling
• High precision determination of the gluon fusion Higgs boson cross-section at the LHC
• The QCD Running Coupling and its Measurement
• The renormalization scale-setting problem in QCD
• Axial-Vector Vertex in Spinor Electrodynamics
• The Padé Approximation and its Physical Applications

Related

• Introduction to Renormalisation
• Renormalisation in Quantum Mechanics
• Renormalisation in Quantum Field Theory
• The Renormalization Scale Setting Problem in QCD [Ph.D. Thesis]
• The method of global R* and its applications