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Title: All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops

Journal Article · · Physical Review Letters
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3];  [4];  [3]
  1. Univ. of Copenhagen (Denmark). The Niels Bohr Inst.; Harvard Univ., Cambridge, MA (United States); Pennsylvania State Univ., University Park, PA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. Univ. of California, Davis, CA (United States). Dept. of Physics
  4. Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
+ Show Author Affiliations

We give a prescriptive representation of all-multiplicity two-loop maximally-helicity-violating (MHV) amplitude integrands in fully-color-dressed (nonplanar) maximally supersymmetric Yang-Mills theory.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Univ. of California, Davis, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
DNRF91; 757978; CF18-0641; SC0009999; AC02-76SF00515; PHY-1607611
OSTI ID:
1605638
Alternate ID(s):
OSTI ID: 1616994; OSTI ID: 1834294
Journal Information:
Physical Review Letters, Vol. 124, Issue 11; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Multi-quark colour decompositions from unitarity journal October 2019
Two-loop maximally helicity violating amplitudes in N = 4 supersymmetric Yang-Mills theory journal December 2009
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Higgs-regularized three-loop four-gluon amplitude in $ \mathcal{N} = 4 $ SYM: exponentiation and Regge limits journal April 2010
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All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order text January 2019
Heptagons from the Steinmann Cluster Bootstrap text January 2017
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Cluster adjacency and the four-loop NMHV heptagon text January 2018
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The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N} = 4$ SYM Amplitudes text January 2019
The cosmic Galois group and extended Steinmann relations for planar N $$ \mathcal{N} $$ = 4 SYM amplitudes text January 2019
Universal structure of subleading infrared poles in gauge theory amplitudes text January 2008
Infrared singularities of scattering amplitudes in perturbative QCD text January 2009
Local Spacetime Physics from the Grassmannian text January 2009
Unification of Residues and Grassmannian Dualities text January 2009
Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits text January 2010
Review of AdS/CFT Integrability: An Overview text January 2010
The classification of two-loop integrand basis in pure four-dimension text January 2012
Integrand Reduction for Two-Loop Scattering Amplitudes through Multivariate Polynomial Division text January 2012
Logarithmic Singularities and Maximally Supersymmetric Amplitudes preprint January 2014
Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM text January 2015
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Gravity On-shell Diagrams text January 2016
Full Colour for Loop Amplitudes in Yang-Mills Theory text January 2016
Heptagons from the Steinmann Cluster Bootstrap text January 2016
Prescriptive Unitarity text January 2017
Cluster adjacency and the four-loop NMHV heptagon text January 2018
Analytic result for a two-loop five-particle amplitude text January 2018
The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity text January 2019
The two-loop five-point amplitude in $\mathcal N=8$ supergravity text January 2019
The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N} = 4$ SYM Amplitudes text January 2019
Multi-Quark Colour Decompositions from Unitarity text January 2019
Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops text January 2019
One-Loop N Gluon Amplitudes with Maximal Helicity Violation via Collinear Limits text January 1993
One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits text January 1994
The Singular Behaviour of QCD Amplitudes at Two-loop Order text January 1998
Multi-Parton Amplitudes in Gauge Theories text January 2005
On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences text January 1998
Integrand reduction for two-loop scattering amplitudes through multivariate polynomial division journal April 2013
The accuracy and inter-observer reliability of acetate templating in total hip arthroplasty journal July 2012
The two-loop MHV amplitudes in N=4 supersymmetric Yang-Mills theory text January 2009
Local Spacetime Physics from the Grassmannian text January 2009
Multiloop Integrand Reduction for Dimensionally Regulated Amplitudes text January 2013
On-Shell Structures of MHV Amplitudes Beyond the Planar Limit preprint January 2014
Two-Loop Four-Gluon Amplitudes with the Numerical Unitarity Method text January 2017
Analytic result for a two-loop five-particle amplitude text January 2018
Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space text January 2019
The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order text January 1998
On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences text January 1998

Figures / Tables (4)

TABLE I(p. 2)table TABLE I
TABLE II(p. 3)table TABLE II
TABLE III(p. 3)table TABLE III
TABLE IV(p. 4)table TABLE IV

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