Boundaries of amplituhedra and NMHV symbol alphabets at two loops

In this sequel to [3] we classify the boundaries of amplituhedra relevant for determining the branch points of general two-loop amplitudes in planar <em>N</em> = 4 super-Yang-Mills theory. We explain the connection to on-shell diagrams, which serves as a useful cross-check. Here we determine the branch points of all two-loop NMHV amplitudes by solving the Landau equations for the relevant configurations and are led thereby to a conjecture for the symbol alphabets of all such amplitudes.

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Publication Details

Journal
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
Published
2024-11-22
DOI
https://doi.org/10.1007/jhep04%282018%29049
Citations
27
Primary Topic
Black Holes and Theoretical Physics
Type
article

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article

Boundaries of amplituhedra and NMHV symbol alphabets at two loops

Igor Prlina
27 citations
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
Black Holes and Theoretical Physics
article

Boundaries of amplituhedra and NMHV symbol alphabets at two loops

Igor Prlina
article en
27 citations

Abstract

In this sequel to [3] we classify the boundaries of amplituhedra relevant for determining the branch points of general two-loop amplitudes in planar <em>N</em> = 4 super-Yang-Mills theory. We explain the connection to on-shell diagrams, which serves as a useful cross-check. Here we determine the branch points of all two-loop NMHV amplitudes by solving the Landau equations for the relevant configurations and are led thereby to a conjecture for the symbol alphabets of all such amplitudes.

OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
Brown University (US)
National Science Foundation, U.S. Department of Energy, CERN, Deutsche Forschungsgemeinschaft, Munich Institute for Astro- and Particle Physics
Quality Education
Black Holes and Theoretical Physics
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