# Celestial amplitudes from UV to IR

@article{ArkaniHamed2020CelestialAF, title={Celestial amplitudes from UV to IR}, author={Nima Arkani-Hamed and Monica Pate and Ana-Maria Raclariu and Andrew Strominger}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

Celestial amplitudes represent 4D scattering of particles in boost, rather than the usual energy-momentum, eigenstates and hence are sensitive to both UV and IR physics. We show that known UV and IR properties of quantum gravity translate into powerful constraints on the analytic structure of celestial amplitudes. For example the soft UV behavior of quantum gravity is shown to imply that the exact four-particle scattering amplitude is meromorphic in the complex boost weight plane with poles…

## 53 Citations

### Non-abelian infrared divergences on the celestial sphere

- Mathematics, Physics
- 2021

We consider the infrared factorisation of non-abelian multi-particle scattering amplitudes, and we study the form of the universal colour operator responsible for infrared divergences, when expressed…

### Bulk locality from the celestial amplitude

- PhysicsSciPost Physics
- 2022

In this paper, we study the implications of bulk locality on the celestial amplitude. In the context of the four-point amplitude, the fact that the bulk S-matrix factorizes locally in poles of…

### The structure of IR divergences in celestial gluon amplitudes

- PhysicsJournal of High Energy Physics
- 2021

Abstract
The all-loop resummation of SU(N) gauge theory amplitudes is known to factorize into an IR-divergent (soft and collinear) factor and a finite (hard) piece. The divergent factor is…

### Goldilocks modes and the three scattering bases

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We consider massless scattering from the point of view of the position, momentum, and celestial bases. In these three languages different properties of physical processes become manifest or…

### The eikonal operator at arbitrary velocities I: the soft-radiation limit

- PhysicsJournal of High Energy Physics
- 2022

Abstract
Observables related to the real part of the gravitational eikonal, such as the deflection angle and time delay, have been found so far to have a smooth post-Minkowskian (PM) expansion whose…

### Celestial IR divergences and the effective action of supertranslation modes

- PhysicsJournal of High Energy Physics
- 2021

Abstract
Infrared divergences in perturbative gravitational scattering amplitudes have been recently argued to be governed by the two-point function of the supertranslation Goldstone mode on the…

### Shadows and soft exchange in celestial CFT

- PhysicsPhysical Review D
- 2022

We study exponentiated soft exchange in d`2 dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated…

### Shifting spin on the celestial sphere

- PhysicsPhysical Review D
- 2021

We explore conformal primary wavefunctions for all half integer spins up to the graviton. Half steps are related by supersymmetry, integer steps by the classical double copy. The main results are as…

### Celestial holography on Kerr-Schild backgrounds

- Physics
- 2022

We explore the celestial holography proposal for non-trivial asymptotically flat backgrounds including the Coulomb field of a static and spinning point charge, their gravitational counterparts…

### QED as a many-body theory of worldlines: General formalism and infrared structure

- PhysicsPhysical Review D
- 2022

We discuss a reformulation of QED in which matter and gauge fields are integrated out explicitly, resulting in a many-body Lorentz covariant theory of 0+1 dimensional worldlines describing…

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