Generalized unitarity for N=4 super-amplitudes

Abstract

We develop a manifestly supersymmetric version of the generalized unitarity cut method for calculating scattering amplitudes in N=4 SYM theory. We illustrate the power of this method by computing the one-loop n-point NMHV super-amplitudes. The result confirms two conjectures which we made in arXiv:0807.1095 [hep-th]. Firstly, we derive the compact, manifestly dual superconformally covariant form of the NMHV tree amplitudes for arbitrary number and types of external particles. Secondly, we show that the ratio of the one-loop NMHV to the MHV amplitude is dual conformal invariant.

41 pages, 9 figures

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Cited by in corpus (83)

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• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Scattering into the fifth dimension of N=4 super Yang-Mills
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Bootstrapping an NMHV amplitude through three loops
• Heptagons from the Steinmann Cluster Bootstrap
• The S-Matrix in Twistor Space
• Exacting N=4 Superconformal Symmetry
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• The Yangian origin of the Grassmannian integral
• All tree-level amplitudes in massless QCD
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• On form factors in N=4 sym
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• Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
• Symmetries and analytic properties of scattering amplitudes in N=4 SYM theory
• Solution to the Ward Identities for Superamplitudes
• Massive amplitudes on the Coulomb branch of N=4 SYM
• Superconformal invariants for scattering amplitudes in N=4 SYM theory
• Twistor-Strings, Grassmannians and Leading Singularities
• MHV Diagrams in Momentum Twistor Space
• On MHV Form Factors in Superspace for $\mathcal{N}=4$ SYM Theory
• Simple loop integrals and amplitudes in N=4 SYM
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• On NMHV form factors in N=4 SYM theory from generalized unitarity
• Lifting Heptagon Symbols to Functions
• On Yangian Symmetry in Planar N=4 SYM
• Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory
• Dual conformal symmetry at loop level; massive regularization
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• On Form Factors in N=4 SYM Theory and Polytopes
• Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica
• One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
• Twistor transform of all tree amplitudes in N=4 SYM theory
• Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts
• From Polygon Wilson Loops to Spin Chains and Back
• Dual conformal invariance for form factors
• Correlation functions of local composite operators from generalized unitarity
• Form factor recursion relations at loop level
• Inverse Soft Factors and Grassmannian Residues
• Null Wilson loops with a self-crossing and the Wilson loop/amplitude conjecture
• A super MHV vertex expansion for N=4 SYM theory
• Massive Supermultiplets in Four-Dimensional Superstring Theory
• Hidden Simplicity of Gauge Theory Amplitudes
• Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes - a Brief Introduction
• Rooting Out Letters: Octagonal Symbol Alphabets and Algebraic Number Theory
• The Coulomb-branch S-matrix from massless amplitudes
• Conformal anomaly of super Wilson loop
• One-Loop Soft Theorems via Dual Superconformal Symmetry
• Dual-Conformal Regularization of Infrared Loop Divergences and the Chiral Box Expansion
• First-quantized N=4 Yang-Mills
• One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
• Multi-Particle Amplitudes from the Four-Point Correlator in Planar N=4 SYM
• Higher point MHV amplitudes in N=4 Supersymmetric Yang-Mills Theory
• The four-loop six-gluon NMHV ratio function
• One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions, relation to open strings and polygonal Wilson loops
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
• From lightcone actions to maximally supersymmetric amplitudes
• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
• Applications of Subleading-color Amplitudes in N=4 SYM Theory
• Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes
• Permutation Relations of Yangian Invariants, Unitarity Cuts, and Scattering Amplitudes
• Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory
• A Note on One-loop Cluster Adjacency in N = 4 SYM
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• Generalized unitarity method for unstable particles
• Generating MHV super-vertices in light-cone gauge
• Nonplanar On-shell Diagrams and Leading Singularities of Scattering Amplitudes
• Locally Finite Observables in sYM
• All one-loop NMHV gluon amplitudes in N=1 SYM
• New N=4 SYM Path Integral
• Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability
• Scattering amplitudes in gauge theories with and without supersymmetry
• Dual Conformal Symmetry and Iterative Integrals in Six Dimensions
• Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity
• Approximate Universality of N=4 Super-Yang--Mills One-Loop Amplitudes
• Hexagon Bootstrap in the Double Scaling Limit
• Duality between Wilson Loops and Scattering Amplitudes
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes