Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams

Abstract

It was proposed in hep-th/0403047 that all tree amplitudes in pure Yang-Mills theory can be constructed from known MHV amplitudes. We apply this approach for calculating tree amplitudes of gauge fields and fermions and find agreement with known results.The formalism amounts to an effective scalar perturbation theory which offers a much simpler alternative to the usual Feynman diagrams in gauge theory and can be used for deriving new simple expressions for tree amplitudes. At tree level the formalism works in a generic gauge theory, with or without supersymmetry, and for a finite number of colours.

22 pages, 2 figures, v2: Appendix and references added, v3: new calculation of n-pt amplitudes with 4 fermions added + comments on scalars on internal lines

References in corpus (5)

• Multi-Parton Amplitudes in Gauge Theories
• MHV Vertices And Tree Amplitudes In Gauge Theory
• On the Tree-Level S-Matrix of Yang-Mills Theory
• A Googly Amplitude from the B-model in Twistor Space
• The Googly Amplitudes in Gauge Theory

Cited by in corpus (128)

• New Recursion Relations for Tree Amplitudes of Gluons
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Hard Interactions of Quarks and Gluons: a Primer for LHC Physics
• Direct extraction of one-loop integral coefficients
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• A direct proof of the CSW rules
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
• One-Loop Amplitudes Of Gluons In SQCD
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Bootstrapping Multi-Parton Loop Amplitudes in QCD
• All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
• Non-Supersymmetric Loop Amplitudes and MHV Vertices
• Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
• Non-MHV Tree Amplitudes in Gauge Theory
• MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos
• The Last of the Finite Loop Amplitudes in QCD
• Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
• Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
• A Twistor Approach to One-Loop Amplitudes in N=1 Supersymmetric Yang-Mills Theory
• All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
• Inherited Twistor-Space Structure of Gravity Loop Amplitudes
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• Recursive Calculation of One-Loop QCD Integral Coefficients
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
• One-Loop Gluon Scattering Amplitudes in Theories with $N<4$ Supersymmetries
• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
• N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
• MHV-Vertices for Gravity Amplitudes
• MHV Rules for Higgs Plus Multi-Parton Amplitudes
• Twistor-Inspired Construction of Electroweak Vector Boson Currents
• Loops in Twistor Space
• Multi-Gluon Collinear Limits from MHV diagrams
• Solution to the Ward Identities for Superamplitudes
• All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• Decoupling in an expanding universe: backreaction barely constrains short distance effects in the CMB
• From Trees to Loops and Back
• From Yang-Mills Lagrangian to MHV Diagrams
• Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour
• On-shell superamplitudes in N<4 SYM
• Amplitudes in the beta-deformed Conformal Yang-Mills
• Compact Formulas for Tree Amplitudes of Six Partons
• Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
• A Note on Twistor Gravity Amplitudes
• Scalar diagrammatic rules for Born amplitudes in QCD
• Twistor Space Structure of the Box Coefficients of N=1 One-loop Amplitudes
• Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence
• SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
• An Introduction to On-shell Recursion Relations
• The rational parts of one-loop QCD amplitudes I: The general formalism
• One-loop MHV Rules and Pure Yang-Mills
• Structure of the MHV-rules Lagrangian
• New Relations for Gauge-Theory Amplitudes with Matter
• MHV Techniques for QED Processes
• MHV Vertices and Scattering Amplitudes in Gauge Theory
• Topological B-Model on Weighted Projective Spaces and Self-Dual Models in Four Dimensions
• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• On Hidden Symmetries of a Super Gauge Theory and Twistor String Theory
• Multigluon amplitudes, $\mathcal{N}=4$ constraints and the WZW model
• Collinear Limits in QCD from MHV Rules
• One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
• A Note on MHV Amplitudes for Gravitons
• Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
• Coplanarity In Twistor Space Of N=4 Next-To-MHV One-Loop Amplitude Coefficients
• Scattering amplitudes with massive fermions using BCFW recursion
• Tree-Level Formalism
• Central exclusive meson pair production in the perturbative regime at hadron colliders
• CSW rules for a massive scalar
• One-Loop Gluonic Amplitudes from Single Unitarity Cuts
• Six-Quark Amplitudes from Fermionic MHV Vertices
• Orbifolding the Twistor String
• The Topological B-Model on Fattened Complex Manifolds and Subsectors of N=4 Self-Dual Yang-Mills Theory
• Central exclusive production as a probe of the gluonic component of the eta' and eta mesons
• S-Matrix Equivalence Theorem Evasion and Dimensional Regularisation with the Canonical MHV Lagrangian
• On Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills Theory
• Systematics of One-Loop Scattering Amplitudes in N=4 Super Yang-Mills Theories
• Gauge Theory Amplitudes, Scalar Graphs and Twistor Space
• Supertwistor Orbifolds: Gauge Theory Amplitudes and Topological Strings
• One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory
• MHV Diagrams from an All-Line Recursion Relation
• Seven parton amplitudes from recursion relations
• Determination of Boundary Contributions in Recursion Relation
• Multi-soft theorems in Gauge Theory from MHV Diagrams
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory
• Comments on MHV Tree Amplitudes for Conformal Supergravitons from Topological B-Model
• MHV amplitudes in N=2 SQCD and in N=4 SYM at one loop
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• Twistor-inspired construction of massive quark amplitudes
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
• Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD
• Conformal invariance of tensor bosons tree amplitudes
• A Note on Dual MHV Diagrams in N=4 SYM
• Gauged Linear Sigma Model on Supermanifold
• Recursive equations for arbitrary scattering processes
• Recursive Relations For Processes With n Photons Of Noncommutative QED
• Probing the perturbative dynamics of exclusive meson pair production
• Twistor Strings with Flavour
• Recursive Approach to One-loop QCD Matrix Elements
• The last of the seven-parton tree amplitudes
• Recent developments for multi-leg QCD amplitudes with massive particles
• Perturbative Gravity and Twistor Space
• Generating MHV super-vertices in light-cone gauge
• The MHV lagrangian vertices and the Parke-Taylor formula
• Amplitudes With Different Helicity Configurations Of Noncommutative QED
• Holonomies of gauge fields in twistor space 4: functional MHV rules and one-loop amplitudes
• MHV Lagrangians for Yang--Mills and QCD
• On perturbative field theory and twistor string theory
• Gluon Scattering Amplitudes in Finite Temperature Gauge/Gravity Dualities
• MHV amplitudes, Wilson loops and the BDS ansatz in the superconformal N=2 QCD
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited
• Recursive structures in string field theory
• Quantum MHV Diagrams
• Born amplitudes in QCD from scalar diagrams
• Photon emission in a constant magnetic field in 2+1 dimensional space-time
• The $\theta$-twistor versus the supertwistor
• Massless Chiral Supermultiplets of Higher Spins and the $\theta$-Twistor
• (0,2) Gauged Linear Sigma Model on Supermanifold