# Celestial amplitudes: conformal partial waves and soft limits

## Abstract

Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin-transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless four-point scalar and gluon celestial amplitudes such as conformal partial wave decomposition, crossing relations and optical theorem. As a byproduct, we derive the analog of the single and double soft limits for all gluon celestial amplitudes.

- Authors:

- Univ. of Southampton (United Kingdom)
- Brown Univ., Providence, RI (United States)
- Columbia Univ., New York, NY (United States)

- Publication Date:

- Research Org.:
- Brown Univ., Providence, RI (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); European Research Council (ERC)

- OSTI Identifier:
- 1594825

- Grant/Contract Number:
- SC0010010; 648630; SC0011941

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Conformal Field Theory; Scattering Amplitudes

### Citation Formats

```
Nandan, Dhritiman, Schreiber, Anders, Volovich, Anastasia, and Zlotnikov, Michael. Celestial amplitudes: conformal partial waves and soft limits. United States: N. p., 2019.
Web. doi:10.1007/JHEP10(2019)018.
```

```
Nandan, Dhritiman, Schreiber, Anders, Volovich, Anastasia, & Zlotnikov, Michael. Celestial amplitudes: conformal partial waves and soft limits. United States. doi:10.1007/JHEP10(2019)018.
```

```
Nandan, Dhritiman, Schreiber, Anders, Volovich, Anastasia, and Zlotnikov, Michael. Thu .
"Celestial amplitudes: conformal partial waves and soft limits". United States. doi:10.1007/JHEP10(2019)018. https://www.osti.gov/servlets/purl/1594825.
```

```
@article{osti_1594825,
```

title = {Celestial amplitudes: conformal partial waves and soft limits},

author = {Nandan, Dhritiman and Schreiber, Anders and Volovich, Anastasia and Zlotnikov, Michael},

abstractNote = {Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin-transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless four-point scalar and gluon celestial amplitudes such as conformal partial wave decomposition, crossing relations and optical theorem. As a byproduct, we derive the analog of the single and double soft limits for all gluon celestial amplitudes.},

doi = {10.1007/JHEP10(2019)018},

journal = {Journal of High Energy Physics (Online)},

number = 10,

volume = 2019,

place = {United States},

year = {2019},

month = {10}

}

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