Into the amplituhedron
By N. Arkani-Hamed, J. Trnka. 2013
191 citations recorded by the source corpus.
A bstractWe initiate an exploration of the physics and geometry of the amplituhedron, starting with the simplest case of the integrand for four-particle scattering in planar N=4$$ \mathcal{N}=4 $$ SYM. We show how the textbook structure of the unitarity double-cut follows from the positive geometry. We also use the geometry to expose the behavior of the multicollinear limit, providing a direct motivation for studying the logarithm of the amplitude. In addition to computing the two and three-loop integrands, we explore various lower-dimensional faces of the amplituhedron, thereby computing non-trivial cuts of the integrand to all loop orders.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/d1641a4182ee003756d8b3a8bec42d5e7cba0f16
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In Nuclear and High Energy Physics
- L. Dixon
- M. Spradlin
- J. Drummond
- N. Arkani-Hamed
- G. Papathanasiou
- Andrew J. McLeod
- T. Harrington
- Yuntao Bai
Citations in the corpus
- Heptagons from the Steinmann cluster bootstrap (2016, background): “Another potential constructive approach could involve the Amplituhedron [54, 55]”
- Positive geometries and canonical forms (2017, methodology): “or of the two 4-dimensional positroid cells [1][3][4][5] : (2∗) = 0, [1][23][45] : (23) = (45) = 0.”