MHV-Vertices for Gravity Amplitudes
arXiv:hep-th/0509016 · doi:10.1088/1126-6708/2006/01/009
Abstract
We obtain a CSW-style formalism for calculating graviton scattering amplitudes and prove its validity through the use of a special type of BCFW-like parameter shift. The procedure is illustrated with explicit examples.
21 pages, minor typos corrected, proof added in section 4
References in corpus (59)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- Perturbative Gauge Theory As A String Theory In Twistor Space
- Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
- New Recursion Relations for Tree Amplitudes of Gluons
- Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
- Multi-Parton Amplitudes in Gauge Theories
- MHV Vertices And Tree Amplitudes In Gauge Theory
- On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
- Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
- On the Tree-Level S-Matrix of Yang-Mills Theory
- An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
- One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
- MHV Rules for Higgs Plus Multi-Gluon Amplitudes
- Perturbative Quantum Gravity and its Relation to Gauge Theory
- Recursion Relations for Gauge Theory Amplitudes with Massive Particles
- On-Shell Recurrence Relations for One-Loop QCD Amplitudes
- Conformal Supergravity in Twistor-String Theory
- One-Loop Amplitudes Of Gluons In SQCD
- Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams
- String-Based Methods in Perturbative Gravity
- Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
- All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
- Calculation of Graviton Scattering Amplitudes using String-Based Methods
- Non-Supersymmetric Loop Amplitudes and MHV Vertices
- A Googly Amplitude from the B-model in Twistor Space
- Non-MHV Tree Amplitudes in Gauge Theory
- On the Coupling of Gravitons to Matter
- The Last of the Finite Loop Amplitudes in QCD
- Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
- 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
- The Googly Amplitudes in Gauge Theory
- Inherited Twistor-Space Structure of Gravity Loop Amplitudes
- One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
- Recursive Calculation of One-Loop QCD Integral Coefficients
- One-Loop Gluon Scattering Amplitudes in Theories with Supersymmetries
- Recursion Relations for Tree Amplitudes in Super Gauge Theories
- N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
- Dissolving N=4 loop amplitudes into QCD tree amplitudes
- MHV Rules for Higgs Plus Multi-Parton Amplitudes
- Twistor-Inspired Construction of Electroweak Vector Boson Currents
- Loops in Twistor Space
- One-Loop n-Point Helicity Amplitudes in (Self-Dual) Gravity
- Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour
- All Split Helicity Tree-Level Gluon Amplitudes
- Compact Formulas for Tree Amplitudes of Six Partons
- A Note on Twistor Gravity Amplitudes
- Twistor Space Structure of the Box Coefficients of N=1 One-loop Amplitudes
- String theory and the mapping of gravity into gauge theory
- A Note on MHV Amplitudes for Gravitons
- Generalized string theory mapping relations between gravity and gauge theory
- Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
- Counterterms in type I Supergravities
- Six-Quark Amplitudes from Fermionic MHV Vertices
- Perturbative Relations between Gravity and Gauge Theory
- Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions
Cited by in corpus (66)
- New Relations for Gauge-Theory Amplitudes
- Direct extraction of one-loop integral coefficients
- Scattering of Spinning Black Holes from Exponentiated Soft Factors
- On Tree Amplitudes in Gauge Theory and Gravity
- Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
- Is N = 8 Supergravity Ultraviolet Finite?
- Bootstrapping One-Loop QCD Amplitudes with General Helicities
- Taming Tree Amplitudes In General Relativity
- Unexpected Cancellations in Gravity Theories
- S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
- The No-Triangle Hypothesis for N=8 Supergravity
- On-Shell Recursion Relations for Generic Theories
- A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
- Proof of Gravity and Yang-Mills Amplitude Relations
- Gravity, Twistors and the MHV Formalism
- On-shell constructibility of tree amplitudes in general field theories
- The Tree Formula for MHV Graviton Amplitudes
- Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
- KLT relations from the Einstein-Hilbert Lagrangian
- Exploring the S-Matrix of Massless Particles
- Two-loop five-point all plus helicity Yang-Mills amplitude
- On-shell recursion relations for all Born QCD amplitudes
- On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
- Tree-Level Amplitudes in N=8 Supergravity
- Note on graviton MHV amplitudes
- Three Applications of a Bonus Relation for Gravity Amplitudes
- Explicit Cancellation of Triangles in One-loop Gravity Amplitudes
- Simplicity in the Structure of QED and Gravity Amplitudes
- A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
- Tree and Loop Amplitudes in Open Twistor String Theory
- Multi-Parton Scattering Amplitudes via On-Shell Methods
- Descendants in celestial CFT and emergent multi-collinear factorization
- Scattering amplitudes with massive fermions using BCFW recursion
- Graviton scattering in self-dual radiative space-times
- Minimally modified theories of gravity: a playground for testing the uniqueness of general relativity
- Conformal Supergravity Tree Amplitudes from Open Twistor String Theory
- On the associativity of 1-loop corrections to the celestial operator product in gravity
- Unimodular Trees versus Einstein Trees
- Augmented Recursion For One-loop Gravity Amplitudes
- Perturbative expansion of N<8 Supergravity
- A Note on Graviton Amplitudes for New Twistor String Theories
- Gravitino Interactions from Yang-Mills Theory
- A super MHV vertex expansion for N=4 SYM theory
- Worldsheet factorization for twistor-strings
- On tree amplitudes with gluons coupled to gravitons
- Einstein Supergravity and New Twistor String Theories
- Constructing Gravity Amplitudes from Real Soft and Collinear Factorisation
- A Chiral Perturbation Expansion for Gravity
- Massive Quark-Gluon Scattering Amplitudes at Tree Level
- One-loop N=8 Supergravity Amplitudes from MHV Diagrams
- On-shell recursion relations for gravity
- On-Shell Unitarity Bootstrap for QCD Amplitudes
- Recursion relations, Helicity Amplitudes and Dimensional Regularization
- Two-Loop Gravity amplitudes from four dimensional Unitarity
- Holonomies of gauge fields in twistor space 2: Hecke algebra, diffeomorphism, and graviton amplitudes
- The Twelve-Graviton Next-to-MHV Amplitude from Risager's Construction
- The Supergravity NMHV six-point one-loop amplitude
- Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity
- Diagrammar in an Extended Theory of Gravity
- Geometric Recursion from Polytope Triangulations and Twisted Homology
- Twistor Strings with Flavour
- Perturbative Gravity and Twistor Space
- Exploiting Twistor Techniques for One-loop QCD Amplitudes
- Gauge theory one-loop amplitudes and the BCFW recursion relations
- Recursive structures in string field theory
- Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited