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Title: Landau singularities from the amplituhedron

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2];  [2];  [2]
  1. Brown Univ., Providence, RI (United States); Google Inc., Mountain View, CA (United States)
  2. Brown Univ., Providence, RI (United States)

We propose a simple geometric algorithm for determining the complete set of branch points of amplitudes in planar N = 4 super-Yang-Mills theory directly from the amplituhedron, without resorting to any particular representation in terms of local Feynman integrals. This represents a step towards translating integrands directly into integrals. In particular, the algorithm provides information about the symbol alphabets of general amplitudes. We illustrate the algorithm applied to the one- and two-loop MHV amplitudes.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
sc0010010
OSTI ID:
1424013
Journal Information:
Journal of High Energy Physics (Online), Vol. 2017, Issue 6; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 29 works
Citation information provided by
Web of Science

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Pulling the straps of polygons text January 2011
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Bootstrapping the three-loop hexagon text January 2011
From multiple unitarity cuts to the coproduct of Feynman integrals text January 2014
The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory text January 2014
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Bootstrapping a Five-Loop Amplitude Using Steinmann Relations text January 2016
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Cited By (3)

Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders journal December 2019
All-Helicity Symbol Alphabets from Unwound Amplituhedra text January 2017
Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops text January 2017

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