Finite energy sum rules for gravitational Regge amplitudes
Abstract We develop a framework to derive consistency constraints on gravitational Regge amplitudes based on the finite energy sum rules (FESRs), which directly connect gravitational Regge amplitudes at a finite ultraviolet scale with infrared physics without suffering from super-Planckian physics....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)032 |
| _version_ | 1797675908562157568 |
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| author | Toshifumi Noumi Junsei Tokuda |
| author_facet | Toshifumi Noumi Junsei Tokuda |
| author_sort | Toshifumi Noumi |
| collection | DOAJ |
| description | Abstract We develop a framework to derive consistency constraints on gravitational Regge amplitudes based on the finite energy sum rules (FESRs), which directly connect gravitational Regge amplitudes at a finite ultraviolet scale with infrared physics without suffering from super-Planckian physics. For illustration, we consider four-point scattering of an identical massless scalar coupled to gravity. First, we derive multiple FESRs without relying on the s-t-u permutation invariance. We then make use of FESRs, crossing symmetry, and other principles such as unitarity, to derive bounds on the Regge parameters. The bounds result in infrared finite gravitational positivity bounds in four spacetime dimensions. |
| first_indexed | 2024-03-11T22:21:28Z |
| format | Article |
| id | doaj.art-f27843f0d4e0466d98e6504148cca96e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:21:28Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f27843f0d4e0466d98e6504148cca96e2023-09-24T11:05:09ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023613510.1007/JHEP06(2023)032Finite energy sum rules for gravitational Regge amplitudesToshifumi Noumi0Junsei Tokuda1Department of Physics, Kobe UniversityDepartment of Physics, Kobe UniversityAbstract We develop a framework to derive consistency constraints on gravitational Regge amplitudes based on the finite energy sum rules (FESRs), which directly connect gravitational Regge amplitudes at a finite ultraviolet scale with infrared physics without suffering from super-Planckian physics. For illustration, we consider four-point scattering of an identical massless scalar coupled to gravity. First, we derive multiple FESRs without relying on the s-t-u permutation invariance. We then make use of FESRs, crossing symmetry, and other principles such as unitarity, to derive bounds on the Regge parameters. The bounds result in infrared finite gravitational positivity bounds in four spacetime dimensions.https://doi.org/10.1007/JHEP06(2023)032Effective Field TheoriesScattering Amplitudes |
| spellingShingle | Toshifumi Noumi Junsei Tokuda Finite energy sum rules for gravitational Regge amplitudes Journal of High Energy Physics Effective Field Theories Scattering Amplitudes |
| title | Finite energy sum rules for gravitational Regge amplitudes |
| title_full | Finite energy sum rules for gravitational Regge amplitudes |
| title_fullStr | Finite energy sum rules for gravitational Regge amplitudes |
| title_full_unstemmed | Finite energy sum rules for gravitational Regge amplitudes |
| title_short | Finite energy sum rules for gravitational Regge amplitudes |
| title_sort | finite energy sum rules for gravitational regge amplitudes |
| topic | Effective Field Theories Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP06(2023)032 |
| work_keys_str_mv | AT toshifuminoumi finiteenergysumrulesforgravitationalreggeamplitudes AT junseitokuda finiteenergysumrulesforgravitationalreggeamplitudes |