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Title: Evidence for a nonplanar amplituhedron

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [1];  [1];  [3]
  1. Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  3. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of California, Davis, CA (United States). Dept. of Physics. Center for Quantum Mathematics and Physics (QMAP)
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The scattering amplitudes of planar N = 4 super-Yang-Mills exhibit a number of remarkable analytic structures, including dual conformal symmetry and logarithmic singularities of integrands. The amplituhedron is a geometric construction of the integrand that incorporates these structures. This geometric construction further implies the amplitude is fully specified by constraining it to vanish on spurious residues. By writing the amplitude in a dlog basis, we provide nontrivial evidence that these analytic properties and “zero conditions” carry over into the nonplanar sector. Finally, this suggests that the concept of the amplituhedron can be extended to the nonplanar sector of N = 4 super-Yang-Mills theory.

Research Organization:
Univ. of California, Los Angeles, CA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Davis, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0009937; SC0011632
OSTI ID:
1326990
Journal Information:
Journal of High Energy Physics (Online), Vol. 2016, Issue 6; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 61 works
Citation information provided by
Web of Science

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Cited By (27)

Δ-algebra and scattering amplitudes journal February 2019
Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N = 4 $$ \mathcal{N}=4 $$ SYM journal April 2017
All-loop cuts from the Amplituhedron journal April 2019
Two-loop $$ \mathcal{N} $$ = 2 SQCD amplitudes with external matter from iterated cuts journal July 2019
On-shell diagrams and the geometry of planar N < 4 $$ \mathcal{N}<4 $$ SYM theories journal November 2017
Positivity, Grassmannian geometry and simplex-like structures of scattering amplitudes journal December 2017
Four-dimensional ambitwistor strings and form factors of local and Wilson line operators journal June 2018
All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops journal March 2020
Analytic Result for a Two-Loop Five-Particle Amplitude text January 2019
All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order text January 2019
Analytic result for the nonplanar hexa-box integrals text January 2019
The double pentaladder integral to all ordersC text January 2018
Analytic result for the nonplanar hexa-box integrals text January 2018
Gravity On-shell Diagrams text January 2016
Full Colour for Loop Amplitudes in Yang-Mills Theory text January 2016
Four dimensional ambitwistor strings and form factors of local and Wilson line operators text January 2017
Prescriptive Unitarity text January 2017
Bootstrapping the QCD soft anomalous dimension text January 2017
The Sudakov form factor at four loops in maximal super Yang-Mills theory text January 2017
All-Helicity Symbol Alphabets from Unwound Amplituhedra text January 2017
Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops text January 2017
The Double Pentaladder Integral to All Orders text January 2018
Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts text January 2018
Analytic result for a two-loop five-particle amplitude text January 2018
The two-loop five-point amplitude in $\mathcal N=8$ supergravity text January 2019
All-loop cuts from the Amplituhedron text January 2019
Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops text January 2019

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
scattering amplitudes
extended supersymmetry