A direct proof of the CSW rules

Abstract

Using recursion methods similar to those of Britto, Cachazo, Feng and Witten (BCFW) a direct proof of the CSW rules for computing tree-level gluon amplitudes is given.

11 pages, uses axodraw.sty

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• Dissolving N=4 loop amplitudes into QCD tree amplitudes
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• Twistor-Inspired Construction of Electroweak Vector Boson Currents
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• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• All-Multiplicity Amplitudes with Massive Scalars
• All Split Helicity Tree-Level Gluon Amplitudes
• Compact Formulas for Tree Amplitudes of Six Partons
• Scalar diagrammatic rules for Born amplitudes in QCD
• Twistor Space Structure of the Box Coefficients of N=1 One-loop Amplitudes
• Collinear Limits in QCD from MHV Rules
• Coplanarity In Twistor Space Of N=4 Next-To-MHV One-Loop Amplitude Coefficients
• Six-Quark Amplitudes from Fermionic MHV Vertices
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Cited by in corpus (137)

• Comix, a new matrix element generator
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• Gravity as the Square of Gauge Theory
• On-Shell Methods in Perturbative QCD
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• A direct proof of the CSW rules
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• On-Shell Recursion Relations for Effective Field Theories
• New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
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• Extensions of Theories from Soft Limits
• Taming Tree Amplitudes In General Relativity
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• Gravity, Twistors and the MHV Formalism
• Tree-level Amplitudes in the Nonlinear Sigma Model
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• A simple approach to counterterms in N=8 supergravity
• Higher-spin massless S-matrices in four-dimensions
• The Lagrangian origin of MHV rules
• Scattering Amplitudes and Wilson Loops in Twistor Space
• Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
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• Simple Recursion Relations for General Field Theories
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• Scattering Amplitudes and BCFW Recursion in Twistor Space
• MHV Diagrams in Momentum Twistor Space
• From Trees to Loops and Back
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• Local Spacetime Physics from the Grassmannian
• Two-loop five-point all plus helicity Yang-Mills amplitude
• On-shell Recursion in String Theory
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• SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
• On the Theory of Continuous-Spin Particles: Helicity Correspondence in Radiation and Forces
• Twistor Strings for N=8 Supergravity
• On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
• Two-loop six gluon all plus helicity amplitude
• An Introduction to On-shell Recursion Relations
• A comparison of efficient methods for the computation of Born gluon amplitudes
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• The rational parts of one-loop QCD amplitudes I: The general formalism
• Structure of the MHV-rules Lagrangian
• Scattering Amplitudes in Quantum Field Theory
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• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• From the Holomorphic Wilson Loop to `d log' Loop-Integrands of Super-Yang-Mills Amplitudes
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• Analytic all-plus-helicity gluon amplitudes in QCD
• New structures in scattering amplitudes: a review
• Symmetries of the N=4 SYM S-matrix
• Tree-Level Formalism
• Scattering amplitudes with massive fermions using BCFW recursion
• Amplitude bases in generic EFTs
• CSW rules for a massive scalar
• Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
• Amplitudes of 3d Yang Mills Theory
• SUSY Ward identities, Superamplitudes, and Counterterms
• Exact coefficients for higher dimensional operators with sixteen supersymmetries
• MHV Lagrangian for N=4 Super Yang-Mills
• S-Matrix Equivalence Theorem Evasion and Dimensional Regularisation with the Canonical MHV Lagrangian
• Recursion Relations for One-Loop Gravity Amplitudes
• Augmented Recursion For One-loop Gravity Amplitudes
• Form factor recursion relations at loop level
• Gluon scattering on self-dual radiative gauge fields
• The Unitarity Method using a Canonical Basis Approach
• On the Factorisation of the Connected Prescription for Yang-Mills Amplitudes
• The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
• Twistor actions for gauge theory and gravity
• Pomerons and BCFW recursion relations for strings on D-branes
• A super MHV vertex expansion for N=4 SYM theory
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• Towards the higher point holographic momentum space amplitudes
• All plus four point (A)dS graviton function using generalized on-shell recursion relation
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• On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• Gearing up for the next generation of LFV experiments, via on-shell methods
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• The Coulomb-branch S-matrix from massless amplitudes
• One-loop renormalization and the S-matrix
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Gravity loop integrands from the ultraviolet
• A Forward Branching Phase-Space Generator
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• Wilson lines in the MHV action
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• Yang-Mills Theory in Twistor Space
• Two-Loop Gravity amplitudes from four dimensional Unitarity
• The MHV Lagrangian for a spontaneously broken gauge theory
• Massive On-shell Recursion Relations for n-point Amplitudes
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
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• Loop Amplitudes in an Extended Gravity Theory
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• Exploring straight infinite Wilson lines in the Self Dual and the MHV Lagrangians
• CSW-like Expansion for Einstein Gravity
• Diagrammar in an Extended Theory of Gravity
• A Universal Formula for the Stress-Tensor Contribution to Scalar Four-Point Functions
• Automated calculations for multi-leg processes
• Perturbative Gravity and Twistor Space
• A new Wilson line-based action for gluodynamics
• Exploiting Twistor Techniques for One-loop QCD Amplitudes
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• BCFW construction of the Veneziano Amplitude
• One-Loop Effective Action Approach to Quantum MHV Theory
• Minimally helicity violating, maximally simple scalar amplitudes in N=4 SYM
• Multi-Higgs Amplitudes Bootstrapped: Dissecting SMEFT and HEFT
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• Recursive structures in string field theory
• A Tale Of Two Amplitudes In High Energy Physics
• (0,2) Gauged Linear Sigma Model on Supermanifold