# Two-loop gravity amplitudes from four dimensional unitarity

@article{Dunbar2017TwoloopGA, title={Two-loop gravity amplitudes from four dimensional unitarity}, author={David C. Dunbar and Guy R. Jehu and Warren B. Perkins}, journal={Physical Review D}, year={2017}, volume={95}, pages={046012} }

We compute the polylogarithmic parts of the two-loop four and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic form. We use these to extract the $\ln(\mu^2)$ terms from both the four and five-point amplitudes and show that these match the same
$R^3$ counterterm.

## 8 Citations

### Two-Loop Four-Graviton Scattering Amplitudes.

- PhysicsPhysical review letters
- 2020

The algebraic properties of the integrand of the amplitude are exploited in order to reduce it to a minimal basis of Feynman integrals and it is shown that four-graviton scattering observables depend on fewer couplings than naïvely expected.

### Analytic results for two-loop Yang-Mills

- Physics
- 2017

Recent Developments in computing very specific helicity amplitudes in two loop QCD are presented. The techniques focus upon the singular structure of the amplitude rather than on a diagramatic and…

### Graviton bending in quantum gravity from one-loop amplitudes

- PhysicsPhysical Review D
- 2019

We study the bending of gravitons that pass near a massive object like the Sun, using scattering amplitudes in which the Sun is represented by a massive scalar particle. Our results complete previous…

### The two-loop five-point amplitude in N$$ \mathcal{N} $$ = 8 supergravity

- GeologyJournal of High Energy Physics
- 2019

A bstractWe compute the symbol of the two-loop five-point amplitude in N$$ \mathcal{N} $$ = 8 supergravity. We write an ansatz for the amplitude whose rational prefactors are based on not only…

### NNLO QCD corrections to three-photon production at the LHC

- PhysicsJournal of High Energy Physics
- 2020

We compute the NNLO QCD corrections to three-photon production at the LHC. This is the first NNLO QCD calculation for a 2 → 3 process. Our calculation is exact, except for the scale-independent part…

### Scattering Amplitudes in Supersymmetric Quantum Chromodynamics and Gravity

- Physics
- 2019

Quantum field theory is a theoretical framework for the description of nature in terms of fundamental particles, fields and their interactions. In the quantum regime, elementary scattering processe…

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