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All-Helicity Symbol Alphabets from Unwound Amplituhedra

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arxiv 1711.11507 v2 pith:D4NXLE4C submitted 2017-11-30 hep-th

Igor Prlina , Marcus Spradlin , James Stankowicz , Stefan Stanojevic , Anastasia Volovich This is my paper · ORCID
classification hep-th
keywords amplituhedraamplitudesalgorithmbranchpointsall-helicityalphabetsapplication
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We review an algorithm for determining the branch points of general amplitudes in planar $\mathcal{N}=4$ 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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  1. Geometric Landau Analysis and Symbol Bootstrap

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    Boundary structure of negative geometries, combined with Landau analysis, determines physical singularities and yields symbol alphabets for six-point two-loop and five-point three-loop ladder integrals in planar N=4 s...

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