Scattering Amplitudes in Quantum Field Theory
arXiv:2306.05976 · doi:10.1007/978-3-031-46987-9
Abstract
These lecture notes bridge a gap between introductory quantum field theory (QFT) courses and state-of-the-art research in scattering amplitudes. They cover the path from basic definitions of QFT to amplitudes relevant for processes in the Standard Model of particle physics. The book begins with a concise yet self-contained introduction into 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 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 CERN's 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 detailed 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 QFT. Supplementary material, Mathematica notebooks, corrections and further information are provided and maintained at the dedicated website https://scattering-amplitudes.mpp.mpg.de/scattering-amplitudes-in-qft/ .
291 pages, 30 figures, 4 tables, 1 appendix, dedicated website https://scattering-amplitudes.mpp.mpg.de/scattering-amplitudes-in-qft/ ; v2: published version, fixed typos
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Cited by in corpus (14)
- Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals
- Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
- Cutting-Edge Tools for Cutting Edges
- Canonical differential equations for the elliptic two-loop five-point integral family relevant to jet production at leading colour
- SOFIA: Singularities of Feynman Integrals Automatized
- Learning Feynman integrals from differential equations with neural networks
- The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
- A first computation of three-loop master integrals for the production of two off-shell vector bosons with different masses
- Angular integrals with three denominators via IBP, mass reduction, dimensional shift, and differential equations
- An Elliptic One-Loop Amplitude in Anti-de-Sitter Space
- Reflection and Transmission Amplitudes in a Digital Quantum Simulation
- Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
- Quasi-Keplerian parametrization for compact binaries on hyperbolic orbits in scalar-tensor theories at second post-Newtonian order
- Black Holes in Einstein-scalar-Gauss-Bonnet model probed with scattering amplitudes