A simple formula for gravitational MHV amplitudes

Abstract

A simple formula is given for the n-field tree-level MHV gravitational amplitude, based on soft limit factors. It expresses the full S_n symmetry naturally, as a determinant of elements of a symmetric (n \times n) matrix.

10 pages

References in corpus (5)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• What is the Simplest Quantum Field Theory?
• Gravity, Twistors and the MHV Formalism
• The Tree Formula for MHV Graviton Amplitudes
• New expressions for gravitational scattering amplitudes

Cited by in corpus (35)

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• Conformal and Einstein gravity from twistor actions
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Twistor Strings for N=8 Supergravity
• A "Twistor String" Inspired Formula For Tree-Level Scattering Amplitudes in N=8 SUGRA
• Conformal higher spin scattering amplitudes from twistor space
• Celestial $w_{1+\infty }$ Symmetries from Twistor Space
• Generating All Tree Amplitudes in N=4 SYM by Inverse Soft Limit
• Graviton scattering in self-dual radiative space-times
• From 4d Ambitwistor Strings to On Shell Diagrams and Back
• Superstring Amplitudes as a Mellin Transform of Supergravity
• Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
• Twistor actions for gauge theory and gravity
• Resultants and Gravity Amplitudes
• Ambitwistor Strings: Worldsheet Approaches to perturbative Quantum Field Theories
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• CHY formula and MHV amplitudes
• Color structures and permutations
• A String Deformation of the Parke-Taylor Factor
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d
• Minimal Basis in Four Dimensions and Scalar Blocks
• New Worldsheet Formulae for Conformal Supergravity Amplitudes
• New Formulae for Gravity Amplitudes: Parity Invariance and Soft Limits
• Evaluating EYM amplitudes in four dimensions by refined graphic expansion
• Gravity Amplitudes from n-Space
• On Closed Twistor String Theory
• The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
• Pure connection formalism for gravity: Recursion relations
• New Variables For Graviton Scattering Amplitudes
• Superstring/Supergravity Mellin Correspondence in Grassmannian Formulation