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Prescriptive unitarity

  • Jacob L. Bourjaily
  • Enrico Herrmann
  • Jaroslav Trnka
Open Access
Regular Article - Theoretical Physics
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Abstract

We introduce a prescriptive approach to generalized unitarity, resulting in a strictly-diagonal basis of loop integrands with coefficients given by specifically-tailored residues in field theory. We illustrate the power of this strategy in the case of planar, maximally supersymmetric Yang-Mills theory (SYM), where we construct closed-form representations of all (n-point N k MHV) scattering amplitudes through three loops. The prescriptive approach contrasts with the ordinary description of unitarity-based methods by avoiding any need for linear algebra to determine integrand coefficients. We describe this approach in general terms as it should have applications to many quantum field theories, including those without planarity, supersymmetry, or massless spectra defined in any number of dimensions.

Keywords

1/N Expansion Extended Supersymmetry Scattering Amplitudes 
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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Jacob L. Bourjaily
    • 1
    • 4
  • Enrico Herrmann
    • 2
    • 4
  • Jaroslav Trnka
    • 3
    • 4
  1. 1.Niels Bohr International Academy and Discovery Center, University of Copenhagen, The Niels Bohr InstituteCopenhagen ØDenmark
  2. 2.Walter Burke Institute for Theoretical PhysicsCalifornia Institute of TechnologyPasadenaU.S.A.
  3. 3.Center for Quantum Mathematics and Physics (QMAP), Department of PhysicsUniversity of CaliforniaDavisU.S.A.
  4. 4.Kavli Institute for Theoretical PhysicsUniversity of CaliforniaSanta BarbaraU.S.A.

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