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Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron by He, Song; Kuo, Chia-Kai; Li, Zhenjie; Zhang, Yao-Qi is a scholarly article available to read on EtoBox.

What is Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron about?

We elaborate on aspects of a new positive geometry proposed recently, which was conjectured to be the four-point amplituhedron for ABJM theory. We study generalized unitarity cuts from the geometry, and in particular we prove that (1) the four-point integrand satisfies perturbative unitarity (or optical theorem) to all loops, which follows directly from the geometry, and (2) vanishing cuts involving odd-point amplitudes follow from the ``bipartite" nature of the associated ``negative geometries", which justifies their appearance in ABJM theory. We also take a first step in integrating the forms of these negative geometries and obtain an infrared-finite quantity up to two loops, from which we extract the cusp anomalous dimension at leading order.

Author

He, Song; Kuo, Chia-Kai; Li, Zhenjie; Zhang, Yao-Qi

Published

2023

Language

EN