Landau singularities and symbology: one- and two-loop MHV amplitudes in SYM theory

  • Tristan Dennen
  • Marcus Spradlin
  • Anastasia Volovich
Open Access
Regular Article - Theoretical Physics

Abstract

We apply the Landau equations, whose solutions parameterize the locus of possible branch points, to the one- and two-loop Feynman integrals relevant to MHV amplitudes in planar \( \mathcal{N}=4 \) super-Yang-Mills theory. We then identify which of the Landau singularities appear in the symbols of the amplitudes, and which do not. We observe that all of the symbol entries in the two-loop MHV amplitudes are already present as Landau singularities of one-loop pentagon integrals.

Keywords

Scattering Amplitudes Supersymmetric gauge theory 

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Tristan Dennen
    • 1
  • Marcus Spradlin
    • 1
  • Anastasia Volovich
    • 1
  1. 1.Department of PhysicsBrown UniversityProvidenceU.S.A.

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