%0 Generic %1 brandhuber2022sagex %A Brandhuber, Andreas %A Plefka, Jan %A Travaglini, Gabriele %D 2022 %K edu hep-th qft review scattering_amplitudes %T The SAGEX Review on Scattering Amplitudes, Chapter 1: Modern Fundamentals of Amplitudes %U http://arxiv.org/abs/2203.13012 %X This chapter introduces the foundational elements of scattering amplitudes. It is meant to be accessible to readers with only a basic understanding of quantum field theory. Topics covered include: the four-dimensional spinor-helicity formalism and the colour decomposition of Yang-Mills scattering amplitudes; the study of soft and collinear limits of Yang-Mills and gravity amplitudes; the BCFW recursion relation and generalised unitarity, also in the superamplitudes formalism of $N=4$ supersymmetric Yang-Mills; an overview of standard and hidden symmetries of the $S$-matrix of $N=4$ supersymmetric Yang-Mills, such as the conformal, dual conformal and Yangian symmetries; and a brief excursus on form factors of protected and non-protected operators in Yang-Mills theory. Several examples and explicit calculations are also provided.

@misc{brandhuber2022sagex, abstract = {This chapter introduces the foundational elements of scattering amplitudes. It is meant to be accessible to readers with only a basic understanding of quantum field theory. Topics covered include: the four-dimensional spinor-helicity formalism and the colour decomposition of Yang-Mills scattering amplitudes; the study of soft and collinear limits of Yang-Mills and gravity amplitudes; the BCFW recursion relation and generalised unitarity, also in the superamplitudes formalism of $\mathcal{N}{=}4$ supersymmetric Yang-Mills; an overview of standard and hidden symmetries of the $S$-matrix of $\mathcal{N}{=}4$ supersymmetric Yang-Mills, such as the conformal, dual conformal and Yangian symmetries; and a brief excursus on form factors of protected and non-protected operators in Yang-Mills theory. Several examples and explicit calculations are also provided.}, added-at = {2022-12-30T22:57:37.000+0100}, author = {Brandhuber, Andreas and Plefka, Jan and Travaglini, Gabriele}, biburl = {https://www.bibsonomy.org/bibtex/23481886dfe7193944bcb7d8bf144cf72/intfxdx}, description = {The SAGEX Review on Scattering Amplitudes, Chapter 1: Modern Fundamentals of Amplitudes}, interhash = {0bd44c740175ba109b88934082615d69}, intrahash = {3481886dfe7193944bcb7d8bf144cf72}, keywords = {edu hep-th qft review scattering_amplitudes}, note = {cite arxiv:2203.13012Comment: 56 pages, see also the overview article arXiv:2203.13011}, timestamp = {2022-12-30T22:57:37.000+0100}, title = {The SAGEX Review on Scattering Amplitudes, Chapter 1: Modern Fundamentals of Amplitudes}, url = {http://arxiv.org/abs/2203.13012}, year = 2022 }