Graviton loops and negativity
Abstract We revisit dispersive bounds on Wilson coefficients of scalar effective field theories (EFT) coupled to gravity in various spacetime dimensions, by computing the contributions from graviton loops to the corresponding sum rules at low energies. Fixed-momentum-transfer dispersion relations ar...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)175 |
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| _version_ | 1849226685852942336 |
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| author | Cyuan-Han Chang Julio Parra-Martinez |
| author_facet | Cyuan-Han Chang Julio Parra-Martinez |
| author_sort | Cyuan-Han Chang |
| collection | DOAJ |
| description | Abstract We revisit dispersive bounds on Wilson coefficients of scalar effective field theories (EFT) coupled to gravity in various spacetime dimensions, by computing the contributions from graviton loops to the corresponding sum rules at low energies. Fixed-momentum-transfer dispersion relations are often ill-behaved due to forward singularities arising from loop-level graviton exchange, making naive positivity bounds derived from them unreliable. Instead, we perform a careful analysis using crossing-symmetric dispersion relations, and compute the one-loop corrections to the bounds on EFT coefficients. We find that including the graviton loops generically allows for negativity of Wilson coefficients by an amount suppressed by powers of Newton’s constant, G. The exception are the few couplings that dominate over (or are degenerate with) the graviton loops at low energies. In D = 4, we observe that assuming that the eikonal formula captures the correct forward behavior of the amplitude at all orders in G, and for energies of the order of the EFT cutoff, yields bounds free of logarithmic infrared divergences. |
| format | Article |
| id | doaj-art-e7cd71bbd7d54a1b9b3bc5816f084670 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e7cd71bbd7d54a1b9b3bc5816f0846702025-08-24T11:04:57ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025815310.1007/JHEP08(2025)175Graviton loops and negativityCyuan-Han Chang0Julio Parra-Martinez1Walter Burke Institute for Theoretical Physics, CaltechInstitut des Hautes Études ScientifiquesAbstract We revisit dispersive bounds on Wilson coefficients of scalar effective field theories (EFT) coupled to gravity in various spacetime dimensions, by computing the contributions from graviton loops to the corresponding sum rules at low energies. Fixed-momentum-transfer dispersion relations are often ill-behaved due to forward singularities arising from loop-level graviton exchange, making naive positivity bounds derived from them unreliable. Instead, we perform a careful analysis using crossing-symmetric dispersion relations, and compute the one-loop corrections to the bounds on EFT coefficients. We find that including the graviton loops generically allows for negativity of Wilson coefficients by an amount suppressed by powers of Newton’s constant, G. The exception are the few couplings that dominate over (or are degenerate with) the graviton loops at low energies. In D = 4, we observe that assuming that the eikonal formula captures the correct forward behavior of the amplitude at all orders in G, and for energies of the order of the EFT cutoff, yields bounds free of logarithmic infrared divergences.https://doi.org/10.1007/JHEP08(2025)175Effective Field TheoriesScattering Amplitudes |
| spellingShingle | Cyuan-Han Chang Julio Parra-Martinez Graviton loops and negativity Journal of High Energy Physics Effective Field Theories Scattering Amplitudes |
| title | Graviton loops and negativity |
| title_full | Graviton loops and negativity |
| title_fullStr | Graviton loops and negativity |
| title_full_unstemmed | Graviton loops and negativity |
| title_short | Graviton loops and negativity |
| title_sort | graviton loops and negativity |
| topic | Effective Field Theories Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP08(2025)175 |
| work_keys_str_mv | AT cyuanhanchang gravitonloopsandnegativity AT julioparramartinez gravitonloopsandnegativity |