Rigorous bounds on light-by-light scattering
Abstract We bound EFT coefficients appearing in 2 → 2 photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules and null constraints. This allows us to derive new rigoro...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-06-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2022)158 |
| _version_ | 1797865734744834048 |
|---|---|
| author | J. Henriksson B. McPeak F. Russo A. Vichi |
| author_facet | J. Henriksson B. McPeak F. Russo A. Vichi |
| author_sort | J. Henriksson |
| collection | DOAJ |
| description | Abstract We bound EFT coefficients appearing in 2 → 2 photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules and null constraints. This allows us to derive new rigorous bounds on operators with four, six, and eight derivatives, including two-sided bounds on their ratios. Comparing with a number of partial UV completions, we find that some of our bounds are saturated by the amplitudes that arise from integrating out a massive scalar or axion, while others suggest the existence of unknown amplitudes. |
| first_indexed | 2024-04-09T23:14:01Z |
| format | Article |
| id | doaj.art-4a271898ed9e4a8caea7644e75745c4c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:01Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4a271898ed9e4a8caea7644e75745c4c2023-03-22T10:12:50ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022613910.1007/JHEP06(2022)158Rigorous bounds on light-by-light scatteringJ. Henriksson0B. McPeak1F. Russo2A. Vichi3Department of Physics, University of Pisa and INFNDepartment of Physics, University of Pisa and INFNDepartment of Physics, University of Pisa and INFNDepartment of Physics, University of Pisa and INFNAbstract We bound EFT coefficients appearing in 2 → 2 photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules and null constraints. This allows us to derive new rigorous bounds on operators with four, six, and eight derivatives, including two-sided bounds on their ratios. Comparing with a number of partial UV completions, we find that some of our bounds are saturated by the amplitudes that arise from integrating out a massive scalar or axion, while others suggest the existence of unknown amplitudes.https://doi.org/10.1007/JHEP06(2022)158Effective Field TheoriesScattering AmplitudesNonperturbative Effects |
| spellingShingle | J. Henriksson B. McPeak F. Russo A. Vichi Rigorous bounds on light-by-light scattering Journal of High Energy Physics Effective Field Theories Scattering Amplitudes Nonperturbative Effects |
| title | Rigorous bounds on light-by-light scattering |
| title_full | Rigorous bounds on light-by-light scattering |
| title_fullStr | Rigorous bounds on light-by-light scattering |
| title_full_unstemmed | Rigorous bounds on light-by-light scattering |
| title_short | Rigorous bounds on light-by-light scattering |
| title_sort | rigorous bounds on light by light scattering |
| topic | Effective Field Theories Scattering Amplitudes Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP06(2022)158 |
| work_keys_str_mv | AT jhenriksson rigorousboundsonlightbylightscattering AT bmcpeak rigorousboundsonlightbylightscattering AT frusso rigorousboundsonlightbylightscattering AT avichi rigorousboundsonlightbylightscattering |