Exploring inelasticity in the S-matrix Bootstrap
The modern S-Matrix Bootstrap provides non-perturbative bounds on low-energy aspects of scattering amplitudes, leveraging the constraints of unitarity, analyticity and crossing. Typically, the solutions saturating such bounds also saturate the unitarity constraint as much as possible, meaning that t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323005592 |
| _version_ | 1827766430491213824 |
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| author | António Antunes Miguel S. Costa José Pereira |
| author_facet | António Antunes Miguel S. Costa José Pereira |
| author_sort | António Antunes |
| collection | DOAJ |
| description | The modern S-Matrix Bootstrap provides non-perturbative bounds on low-energy aspects of scattering amplitudes, leveraging the constraints of unitarity, analyticity and crossing. Typically, the solutions saturating such bounds also saturate the unitarity constraint as much as possible, meaning that they are almost exclusively elastic. This is expected to be unphysical in d>2 because of Aks' theorem. We explore this issue by adding inelasticity as an additional input, both using a primal approach in general dimensions which extends the usual ansatz, and establishing a dual formulation in the 2d case. We then measure the effects on the low-energy observables where we observe stronger bounds than in the standard setup. |
| first_indexed | 2024-03-11T11:41:54Z |
| format | Article |
| id | doaj.art-d07ec367aed74403bc2b7fa4b4a98e04 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-03-11T11:41:54Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-d07ec367aed74403bc2b7fa4b4a98e042023-11-10T04:15:52ZengElsevierPhysics Letters B0370-26932023-11-01846138225Exploring inelasticity in the S-matrix BootstrapAntónio Antunes0Miguel S. Costa1José Pereira2Centro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal; Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany; Corresponding author.Centro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, PortugalCentro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, PortugalThe modern S-Matrix Bootstrap provides non-perturbative bounds on low-energy aspects of scattering amplitudes, leveraging the constraints of unitarity, analyticity and crossing. Typically, the solutions saturating such bounds also saturate the unitarity constraint as much as possible, meaning that they are almost exclusively elastic. This is expected to be unphysical in d>2 because of Aks' theorem. We explore this issue by adding inelasticity as an additional input, both using a primal approach in general dimensions which extends the usual ansatz, and establishing a dual formulation in the 2d case. We then measure the effects on the low-energy observables where we observe stronger bounds than in the standard setup.http://www.sciencedirect.com/science/article/pii/S0370269323005592 |
| spellingShingle | António Antunes Miguel S. Costa José Pereira Exploring inelasticity in the S-matrix Bootstrap Physics Letters B |
| title | Exploring inelasticity in the S-matrix Bootstrap |
| title_full | Exploring inelasticity in the S-matrix Bootstrap |
| title_fullStr | Exploring inelasticity in the S-matrix Bootstrap |
| title_full_unstemmed | Exploring inelasticity in the S-matrix Bootstrap |
| title_short | Exploring inelasticity in the S-matrix Bootstrap |
| title_sort | exploring inelasticity in the s matrix bootstrap |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323005592 |
| work_keys_str_mv | AT antonioantunes exploringinelasticityinthesmatrixbootstrap AT miguelscosta exploringinelasticityinthesmatrixbootstrap AT josepereira exploringinelasticityinthesmatrixbootstrap |