Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity
Abstract We compute the three-loop scattering amplitude of four gravitons in N = 8...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131680 |
| _version_ | 1826206222288683008 |
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| author | Henn, J. M Mistlberger, B. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Henn, J. M Mistlberger, B. |
| author_sort | Henn, J. M |
| collection | MIT |
| description | Abstract
We compute the three-loop scattering amplitude of four gravitons in
N
=
8
$$ \mathcal{N}=8 $$
supergravity. Our results are analytic formulae for a Laurent expansion of the amplitude in the regulator of dimensional regularisation. The coefficients of this series are closed formulae in terms of well-established harmonic poly-logarithms. Our results display a remarkable degree of simplicity and represent an important stepping stone in the exploration of the structure of scattering amplitudes. In particular, we observe that to this loop order the four graviton amplitude is given by uniform weight 2L functions, where L is the loop order. |
| first_indexed | 2024-09-23T13:26:02Z |
| format | Article |
| id | mit-1721.1/131680 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:26:02Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1316802023-02-23T20:54:54Z Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity Henn, J. M Mistlberger, B. Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We compute the three-loop scattering amplitude of four gravitons in N = 8 $$ \mathcal{N}=8 $$ supergravity. Our results are analytic formulae for a Laurent expansion of the amplitude in the regulator of dimensional regularisation. The coefficients of this series are closed formulae in terms of well-established harmonic poly-logarithms. Our results display a remarkable degree of simplicity and represent an important stepping stone in the exploration of the structure of scattering amplitudes. In particular, we observe that to this loop order the four graviton amplitude is given by uniform weight 2L functions, where L is the loop order. 2021-09-20T17:29:35Z 2021-09-20T17:29:35Z 2019-05-03 2020-06-26T12:59:59Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131680 Journal of High Energy Physics. 2019 May 03;2019(5):23 PUBLISHER_CC en https://doi.org/10.1007/JHEP05(2019)023 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Henn, J. M Mistlberger, B. Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity |
| title | Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity |
| title_full | Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity |
| title_fullStr | Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity |
| title_full_unstemmed | Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity |
| title_short | Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity |
| title_sort | four graviton scattering to three loops in n 8 mathcal n 8 supergravity |
| url | https://hdl.handle.net/1721.1/131680 |
| work_keys_str_mv | AT hennjm fourgravitonscatteringtothreeloopsinn8mathcaln8supergravity AT mistlbergerb fourgravitonscatteringtothreeloopsinn8mathcaln8supergravity |