One-loop $N$-point correlators in pure gravity

Abstract

In this work we propose a simple algebraic recursion for the complete one-loop integrands of $N$-graviton correlators. This formula automatically yields the correct symmetry factors of individual diagrams, taking into account both the graviton and the ghost loop, and seamlessly controlling the related combinatorics.

8 pages. v2: minor improvements, matches published version

References in corpus (36)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
• Quantum Corrections to the Schwarzschild and Kerr Metrics
• On-shell Techniques and Universal Results in Quantum Gravity
• Can Gravitons Be Detected?
• Classical Physics and Quantum Loops
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• Berends-Giele recursions and the BCJ duality in superspace and components
• Berends-Giele recursion for double-color-ordered amplitudes
• The SAGEX Review on Scattering Amplitudes
• KLT relations from the Einstein-Hilbert Lagrangian
• Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
• Perturbiner Methods for Effective Field Theories and the Double Copy
• A solution to the non-linear equations of D=10 super Yang-Mills theory
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• $L_{\infty }$-algebras and the perturbiner expansion
• A covariant representation of the Ball-Chiu vertex
• On the Development of Effective Field Theory
• Scattering Massive String Resonances through Field-Theory Methods
• One-loop off-shell amplitudes from classical equations of motion
• The $L_{\infty }$ structure of gauge theories with matter
• Multiparticle solutions to Einstein's equations
• FeynGrav 2.0
• The QED four -- photon amplitudes off-shell: part 1
• The QED four-photon amplitudes off-shell: part 2
• Homotopy double copy and the Kawai-Lewellen-Tye relations for the non-abelian and tensor Navier-Stokes equations
• Gauge-invariant coefficients in perturbative quantum gravity
• Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents
• Quantum gravity in a general background gauge
• Perturbations of General Relativity to All Orders and the General $n^{\mathrm{th}}$ Order Terms
• Berends-Giele currents for extended gravity

Cited by in corpus (1)

• Perturbative Unitarity Calls for An Action