More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms
Abstract We extend the 2 → 2 gravitino scattering amplitude computed in [1] to an arbitrary N $$ \mathcal{N} $$ = 1 supergravity model of one chiral and one vector multiplet, in a Minkowski background with supersymmetry breaking driven by both F- and D-terms. We find that the cancellation of the lea...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)002 |
| _version_ | 1797769746345623552 |
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| author | Ignatios Antoniadis Jules Cunat Anthony Guillen |
| author_facet | Ignatios Antoniadis Jules Cunat Anthony Guillen |
| author_sort | Ignatios Antoniadis |
| collection | DOAJ |
| description | Abstract We extend the 2 → 2 gravitino scattering amplitude computed in [1] to an arbitrary N $$ \mathcal{N} $$ = 1 supergravity model of one chiral and one vector multiplet, in a Minkowski background with supersymmetry breaking driven by both F- and D-terms. We find that the cancellation of the leading term in O $$ \mathcal{O} $$ (κ 2 E 4 /|m 3/2 | 2), that would lead to a breakdown of perturbative unitarity at a scale Λ ~ M SUSY, is a consequence of the vanishing of the scalar potential at its minimum, which is implied by the flat background. We then analyse the inclusion of the new Fayet-Iliopoulos (FI) terms. We find that, since they modify the scalar potential without contributing to the amplitudes, they generically lead to uncanceled leading terms in the latter and a perturbative cutoff at the supersymmetry breaking scale, except for particular cases where the new FI term does not modify the potential at its minimum and the cutoff is pushed up to the Planck scale. |
| first_indexed | 2024-03-12T21:12:28Z |
| format | Article |
| id | doaj.art-ef3d7c2cb47b40049213a195a3f87ab3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:28Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ef3d7c2cb47b40049213a195a3f87ab32023-07-30T11:04:48ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023411210.1007/JHEP04(2023)002More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos termsIgnatios Antoniadis0Jules Cunat1Anthony Guillen2Laboratoire de Physique Théorique et Hautes Energies — LPTHE, Sorbonne Université, CNRSLaboratoire de Physique Théorique et Hautes Energies — LPTHE, Sorbonne Université, CNRSLaboratoire de Physique Théorique et Hautes Energies — LPTHE, Sorbonne Université, CNRSAbstract We extend the 2 → 2 gravitino scattering amplitude computed in [1] to an arbitrary N $$ \mathcal{N} $$ = 1 supergravity model of one chiral and one vector multiplet, in a Minkowski background with supersymmetry breaking driven by both F- and D-terms. We find that the cancellation of the leading term in O $$ \mathcal{O} $$ (κ 2 E 4 /|m 3/2 | 2), that would lead to a breakdown of perturbative unitarity at a scale Λ ~ M SUSY, is a consequence of the vanishing of the scalar potential at its minimum, which is implied by the flat background. We then analyse the inclusion of the new Fayet-Iliopoulos (FI) terms. We find that, since they modify the scalar potential without contributing to the amplitudes, they generically lead to uncanceled leading terms in the latter and a perturbative cutoff at the supersymmetry breaking scale, except for particular cases where the new FI term does not modify the potential at its minimum and the cutoff is pushed up to the Planck scale.https://doi.org/10.1007/JHEP04(2023)002Scattering AmplitudesSpontaneous Symmetry BreakingSupergravity ModelsSupersymmetry Breaking |
| spellingShingle | Ignatios Antoniadis Jules Cunat Anthony Guillen More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms Journal of High Energy Physics Scattering Amplitudes Spontaneous Symmetry Breaking Supergravity Models Supersymmetry Breaking |
| title | More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms |
| title_full | More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms |
| title_fullStr | More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms |
| title_full_unstemmed | More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms |
| title_short | More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms |
| title_sort | more on massive gravitino scattering amplitudes and the unitarity cutoff of the new fayet iliopoulos terms |
| topic | Scattering Amplitudes Spontaneous Symmetry Breaking Supergravity Models Supersymmetry Breaking |
| url | https://doi.org/10.1007/JHEP04(2023)002 |
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