New Representations of the Perturbative S Matrix

We propose a new framework to represent the perturbative S matrix which is well defined for all quantum field theories of massless particles, constructed from tree-level amplitudes and integrable term by term. This representation is derived from the Feynman expansion through a series of partial fraction identities, discarding terms that vanish upon integration. Loop integrands are expressed in terms of "Q-cuts" that involve both off-shell and on-shell loop momenta, defined with a precise contour prescription that can be evaluated by ordinary methods. This framework implies recent results found in the scattering equation formalism at one loop, and it has a natural extension to all orders - even nonplanar theories without well-defined forward limits or good ultraviolet behavior.

© American Physical Society (APS) [New Representations of the Perturbative S Matrix. Physical Review Letters 116, 6 (2016)]

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Work Title New Representations of the Perturbative S Matrix
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Open Access
Creators
  1. Christian Baadsgaard
  2. N. E. J. Bjerrum-Bohr
  3. Jacob L. Bourjaily
  4. Simon Caron-Huot
  5. Poul H. Damgaard
  6. Bo Feng
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Physical Review Letters
Publication Date February 10, 2016
Publisher Identifier (DOI)
  1. https://doi.org/10.1103/PhysRevLett.116.061601
Deposited January 23, 2024

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Version 1
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  • Created
  • Added q_cuts-1.pdf
  • Added Creator Christian Baadsgaard
  • Added Creator N. E.J. Bjerrum-Bohr
  • Added Creator Jacob L. Bourjaily
  • Added Creator Simon Caron-Huot
  • Added Creator Poul H. Damgaard
  • Added Creator Bo Feng
  • Published
  • Renamed Creator N. E. J. Bjerrum-Bohr Show Changes
    • N. E.J. Bjerrum-Bohr
    • N. E. J. Bjerrum-Bohr
  • Updated