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From momentum amplituhedron boundaries to amplitude singularities and back

Ferro, Livia ; Łukowski, Tomasz ; Moerman, Robert

The journal of high energy physics, 2020-07, Vol.2020 (7), p.1-19, Article 201 [Peer Reviewed Journal]

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Title:
From momentum amplituhedron boundaries to amplitude singularities and back
Author: Ferro, Livia ; Łukowski, Tomasz ; Moerman, Robert
Subjects: Amplitudes ; Classical and Quantum Gravitation ; Elementary Particles ; Helicity ; High energy physics ; Momentum ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Scattering Amplitudes ; Singularities ; String Theory ; Supersymmetric Gauge Theory
Is Part Of: The journal of high energy physics, 2020-07, Vol.2020 (7), p.1-19, Article 201
Description: A bstract The momentum amplituhedron is a positive geometry encoding tree-level scattering amplitudes in N = 4 super Yang-Mills directly in spinor-helicity space. In this paper we classify all boundaries of the momentum amplituhedron ℳ n , k and explain how these boundaries are related to the expected factorization channels, and soft and collinear limits of tree amplitudes. Conversely, all physical singularities of tree amplitudes are encoded in this boundary stratification. Finally, we find that the momentum amplituhedron ℳ n , k has Euler characteristic equal to one, which provides a first step towards proving that it is homeomorphic to a ball.
Publisher: Berlin/Heidelberg: Springer Berlin Heidelberg
Language: English

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