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The SAGEX Review on Scattering Amplitudes

Gabriele Travaglini, Andreas Brandhuber, Patrick Dorey, Tristan McLoughlin, Samuel Abreu, Zvi Bern, N. Emil J. Bjerrum-Bohr, Johannes Blümlein, Ruth Britto, John Joseph M. Carrasco, Dmitry Chicherin, Marco Chiodaroli, Poul H. Damgaard, Vittorio Del Duca, Lance J. Dixon, Daniele Dorigoni, Claude Duhr, Yvonne Geyer, Michael B. Green, Enrico Herrmann, Paul Heslop, Henrik Johansson, Gregory P. Korchemsky, David A. Kosower, Lionel Mason, Ricardo Monteiro, Donal O'Connell, Georgios Papathanasiou, Ludovic Plante, Jan Plefka, Andrea Puhm, Ana-Maria Raclariu, Radu Roiban, Carsten Schneider, Jaroslav Trnka, Pierre Vanhove, Congkao Wen, Chris D. White

TL;DR

The SAGEX Review provides a comprehensive survey of scattering amplitudes across gauge theory, gravity, and string theory, addressing how modern on-shell, bootstrap, and geometric methods reveal underlying structures beyond traditional Feynman diagrams.It maps a broad toolkit—spinor-helicity formalism, unitarity, colour-kinematics duality, the double copy, ambitwistor/CHY approaches, and positive geometry—onto concrete calculations and conceptual advances, including multi-loop integrals and bootstrap constructions.Key contributions include elucidating the connections between amplitudes and gravity (via the double copy and classical gravity from quantum amplitudes), the role of modular and celestial structures, and applications to collider phenomenology and gravitational physics such as the PM expansion and gravitational waves.Together, the chapters illustrate how mathematics and physics converge in scattering theory to refine predictions, expose unifying principles, and guide future explorations at the interface of quantum field theory, gravity, and holography.

Abstract

This is an introduction to, and invitation to read, a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory. Our aim is to provide an overview of the field, from basic aspects to a selection of current (2022) research and developments.

The SAGEX Review on Scattering Amplitudes

TL;DR

The SAGEX Review provides a comprehensive survey of scattering amplitudes across gauge theory, gravity, and string theory, addressing how modern on-shell, bootstrap, and geometric methods reveal underlying structures beyond traditional Feynman diagrams.It maps a broad toolkit—spinor-helicity formalism, unitarity, colour-kinematics duality, the double copy, ambitwistor/CHY approaches, and positive geometry—onto concrete calculations and conceptual advances, including multi-loop integrals and bootstrap constructions.Key contributions include elucidating the connections between amplitudes and gravity (via the double copy and classical gravity from quantum amplitudes), the role of modular and celestial structures, and applications to collider phenomenology and gravitational physics such as the PM expansion and gravitational waves.Together, the chapters illustrate how mathematics and physics converge in scattering theory to refine predictions, expose unifying principles, and guide future explorations at the interface of quantum field theory, gravity, and holography.

Abstract

This is an introduction to, and invitation to read, a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory. Our aim is to provide an overview of the field, from basic aspects to a selection of current (2022) research and developments.
Paper Structure (17 sections, 2 equations, 2 figures)

This paper contains 17 sections, 2 equations, 2 figures.

Table of Contents

  1. Foreword
  2. Invitation to read
  3. Modern fundamentals of amplitudes Brandhuber:2022qbk
  4. An invitation to colour-kinematics duality and the double copy Bern:2022wqg
  5. Mathematical structures in Feynman integrals Abreu:2022mfk
  6. Multi-loop Feynman integrals Blumlein:2022zkr
  7. Analytic bootstraps for scattering amplitudes and beyond Papathanasiou:2022lan
  8. Ambitwistor strings and amplitudes from the worldsheet Geyer:2022cey
  9. Positive geometry of scattering amplitudes Herrmann:2022nkh
  10. Half BPS correlators Heslop:2022qgf
  11. Integrability of amplitudes in fishnet theories Chicherin:2022nqq
  12. Modular covariance of type IIB string amplitudes and their $\mathcal{N} {=}4$ supersymmetric Yang-Mills duals Dorigoni:2022iem
  13. Soft theorems and celestial amplitudes McLoughlin:2022ljp
  14. Amplitudes and collider physics White:2022wbr
  15. Post-Minkowskian expansion from scattering amplitudes Bjerrum-Bohr:2022blt
  16. ...and 2 more sections

Figures (2)

  • Figure :
  • Figure :