Scattering Amplitudes in Quantum Field Theory

• Main Author: Badger, Simon (auth)
• Other Authors: Henn, Johannes (auth), Plefka, Jan Christoph (auth), Zoia, Simone (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: Cham Springer Nature 2024
• Series: Lecture Notes in Physics
• Subjects: Quantum physics (quantum mechanics & quantum field theory); Particle & high-energy physics; Mathematical physics; scattering amplitudes in gauge and gravity theory; perturbative QCD; Feynman integrals; BCFW recursion relations; conformal symmetry in QFT; spinor helicity method; colour decomposition for QCD amplitudes; BCJ relations in QFT; dimensional regularization in Feynman diagrams
• Online Access: DOAB: download the publication; DOAB: description of the publication

This open access book bridges a gap between introductory Quantum Field Theory (QFT) courses and state-of-the-art research in scattering amplitudes. It covers the path from basic definitions of QFT to amplitudes, which are relevant for processes in the Standard Model of particle physics. The book begins with a concise yet self-contained introduction to QFT, including perturbative quantum gravity. It then presents modern methods for calculating scattering amplitudes, focusing on tree-level amplitudes, loop-level integrands and loop integration techniques. These methods help to reveal intriguing relations between gauge and gravity amplitudes and are of increasing importance for obtaining high-precision predictions for collider experiments, such as those at the Large Hadron Collider, as well as for foundational mathematical physics studies in QFT, including recent applications to gravitational wave physics.These course-tested lecture notes include numerous exercises with solutions. Requiring only minimal knowledge of QFT, they are well-suited for MSc and PhD students as a preparation for research projects in theoretical particle physics. They can be used as a one-semester graduate level course, or as a self-study guide for researchers interested in fundamental aspects of quantum field theory.