From Feynman diagrams to the amplituhedron: a gentle review

Authors

  • S. De Brown University, United States
  • D. Pavlov TU Dresden, Germany
  • M. Spradlin Brown University, United States
  • A. Volovich Brown University, United States

Keywords:

amplituhedron, Feynman diagrams, scattering amplitudes

Abstract

In this article we review, for a mathematical audience, the computation of (tree-level) scattering amplitudes in Yang-Mills theory in detail. In particular we demonstrate explicitly how the same formulas for six-particle NMHV helicity amplitudes are obtained from summing Feynman diagrams and from computing the canonical form of the n=6, k=1, m=4 amplituhedron.

Downloads

Published

2025-05-23

Issue

Vol. 80 No. 1 (2025)

Section

Articoli

License

Copyright (c) 2025 S. De, D. Pavlov, M. Spradlin, A. Volovich

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The authors retain all rights to the original work without any restrictions.

License for Published Contents

Licenza Creative Commons

"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).

Licence scheme | Legal code

License for Metadata

"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Licence scheme | Legal code

No Fee Charging

No fee is required to complete the submission/review/publishing process of authors paper.