All-helicity symbol alphabets from unwound amplituhedra

Here we review an algorithm for determining the branch points of general amplitudes in planar <em>N</em> = 4 super-Yang-Mills theory from amplituhedra. We demonstrate how to use the recent reformulation of amplituhedra in terms of ‘sign flips’ in order to streamline the application of this algorithm to amplitudes of any helicity. In this way we recover the known branch points of all one-loop amplitudes, and we find an ‘emergent positivity’ on boundaries of amplituhedra.

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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/jhep05%282018%29159
Citations
27
Primary Topic
Black Holes and Theoretical Physics
Type
article

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article

All-helicity symbol alphabets from unwound amplituhedra

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

All-helicity symbol alphabets from unwound amplituhedra

Igor Prlina
article en
27 citations

Abstract

Here we review an algorithm for determining the branch points of general amplitudes in planar <em>N</em> = 4 super-Yang-Mills theory from amplituhedra. We demonstrate how to use the recent reformulation of amplituhedra in terms of ‘sign flips’ in order to streamline the application of this algorithm to amplitudes of any helicity. In this way we recover the known branch points of all one-loop amplitudes, and we find an ‘emergent positivity’ on boundaries of amplituhedra.

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
Black Holes and Theoretical Physics
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