# Gravity loop integrands from the ultraviolet

@article{Edison2021GravityLI, title={Gravity loop integrands from the ultraviolet}, author={Alex Edison and Enrico Herrmann and Julio Parra-Martinez and Jaroslav Trnka}, journal={SciPost Physics}, year={2021} }

We demonstrate that loop integrands of
(super-)gravity scattering amplitudes possess surprising properties in the
ultraviolet (UV) region. In particular, we study the scaling of multi-particle unitarity cuts
for asymptotically large momenta and expose an improved
UV behavior of four-dimensional cuts through seven loops as compared to
standard expectations. For N=8 supergravity, we show that
the improved large momentum scaling combined with the behavior of the integrand under BCFW…

## 11 Citations

On-shell correlators and color-kinematics duality in curved symmetric spacetimes

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We define a perturbatively calculable quantity — the on-shell correlator — which furnishes a unified description of particle dynamics in curved spacetime. Specializing to the case of flat…

Quivers for coloured planar $\phi^n$ theories at all loop orders for scattering processes from Feynman diagrams

- Mathematics
- 2022

It is known how to construct the quivers for φ3 theories for all loop orders. Here we extend this further to the case of theories for φn theories, for any n. We also construct the quivers for mixed…

Snowmass White Paper: the Double Copy and its Applications

- Physics
- 2022

: The double copy is, in essence, a map between scattering amplitudes in a broad variety of familiar ﬁeld and string theories. In addition to the mathematically rich intrinsic structure, it underlies…

Computing quivers for two and higher loops for the colored planar $\phi^3$ theory

- Physics
- 2021

We introduce Feynman-like rules to compute quivers for two loops and higher for the coloured planar φ3 theory for winding number zero. We demonstrate this for a few cases.

Building bases of loop integrands

- MathematicsJournal of High Energy Physics
- 2020

Abstract
We describe a systematic approach to the construction of loop-integrand bases at arbitrary loop-order, sufficient for the representation of general quantum field theories. We provide a…

Propagators, BCFW recursion and new scattering equations at one loop

- Physics, Mathematics
- 2020

We investigate how loop-level propagators arise from tree level via a forward-limit procedure in two modern approaches to scattering amplitudes, namely the BCFW recursion relations and the scattering…

Structure of two-loop SMEFT anomalous dimensions via on-shell methods

- Computer Science
- 2020

Methods for computing one-loop amplitudes are summarized, and how the structure of rational terms and judicious renormalization scheme choices can lead to additional vanishing terms in the anomalous dimension matrix at two loops is explained.

Towards the Gravituhedron: new expressions for NMHV gravity amplitudes

- Geology
- 2020

In this paper, we present new expressions for n-point NMHV tree-level gravity amplitudes. We introduce a method of factorization diagrams which is a simple graphical representation of R-invariants in…

UV consistency conditions for Cachazo-He-Yuan integrands

- Physics
- 2020

We extend on-shell bootstrap methods from spacetime amplitudes to the worldsheet objects of the CHY formalism. We find that the integrands corresponding to tree-level non-linear sigma model,…

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