Graviton and gluon scattering from first principles

Abstract

Graviton and gluon scattering are studied from minimal physical assumptions such as Poincare and gauge symmetry as well as unitarity. The assumptions lead to an interesting and surprisingly restrictive set of linear equations. This shows gluon and graviton scattering to be related in many field and string theories, explaining and extending several known results. By systematic analysis exceptional graviton scattering amplitudes are derived which in general dimensions can not be related to gluon amplitudes. The simplicity of the formalism guarantees wide further applicability to gauge and gravity theories.

6 pages, typos corrected, references updated. Version accepted for publication in PRL

References in corpus (22)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Invariant Variation Problems
• Gravity as the Square of Gauge Theory
• Minimal Basis for Gauge Theory Amplitudes
• Black holes and the double copy
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• One-Loop N Gluon Amplitudes with Maximal Helicity Violation via Collinear Limits
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Non-renormalization Theorems without Supersymmetry
• Gravity and Yang-Mills Amplitude Relations
• How Far Are We from the Quantum Theory of Gravity?
• Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
• Solution to the Ward Identities for Superamplitudes
• Constructing the Tree-Level Yang-Mills S-Matrix Using Complex Factorization
• RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
• Covariant representation theory of the Poincaré algebra and some of its extensions
• Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
• Generalized string theory mapping relations between gravity and gauge theory
• Graviton as a Pair of Collinear Gauge Bosons
• One-loop superstring six-point amplitudes and anomalies in pure spinor superspace

Cited by in corpus (25)

• Operator bases, $S$-matrices, and their partition functions
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Gravity Amplitudes as Generalized Double Copies
• Expansion of Einstein-Yang-Mills Amplitude
• Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
• Locality and Unitarity from Singularities and Gauge Invariance
• Twin Supergravities from Yang-Mills Squared
• UV considerations on scattering amplitudes in a web of theories
• Composing Effective Prediction at Five Points
• Ambitwistor formulations of $R^2$ gravity and $(DF{)}^2$ gauge theories
• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• Uniqueness from gauge invariance and the Adler zero
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• Expansion of Einstein-Yang-Mills theory by Differential Operators
• A minimal approach to the scattering of physical massless bosons
• The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red
• Hidden Conformal Symmetry in Tree-Level Graviton Scattering
• A graphic approach to gauge invariance induced identity
• Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes
• Expansion of EYM Amplitudes in Gauge Invariant Vector Space
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
• On-Shell Gauge Invariant Three-Point Amplitudes
• The seeds of EFT double copy
• Entire Four-Graviton EFT from the Duality Between Color and Kinematics