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Full Unitarity and the Moments of Scattering Amplitudes
We study the impact of full unitarity on the moment structure of forward scattering amplitudes. We introduce the semiarcs, calculable quantities in the EFT dispersively related to both real and imaginary parts of the UV amplitude for a fixed number of subtractions. It is observed that large hierarch...
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Lenguaje: | eng |
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2022
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Acceso en línea: | http://cds.cern.ch/record/2845377 |
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author | Riembau, Marc |
author_facet | Riembau, Marc |
author_sort | Riembau, Marc |
collection | CERN |
description | We study the impact of full unitarity on the moment structure of forward scattering amplitudes. We introduce the semiarcs, calculable quantities in the EFT dispersively related to both real and imaginary parts of the UV amplitude for a fixed number of subtractions. It is observed that large hierarchies between consecutive moments are forbidden by unitarity. Bounds from full unitarity compete with the ones stemming from convexity, and become more important in EFTs where the loop expansion is more important than the derivative expansion. |
id | cern-2845377 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2022 |
record_format | invenio |
spelling | cern-28453772023-03-12T05:36:38Zhttp://cds.cern.ch/record/2845377engRiembau, MarcFull Unitarity and the Moments of Scattering Amplitudeshep-thParticle Physics - TheoryWe study the impact of full unitarity on the moment structure of forward scattering amplitudes. We introduce the semiarcs, calculable quantities in the EFT dispersively related to both real and imaginary parts of the UV amplitude for a fixed number of subtractions. It is observed that large hierarchies between consecutive moments are forbidden by unitarity. Bounds from full unitarity compete with the ones stemming from convexity, and become more important in EFTs where the loop expansion is more important than the derivative expansion.arXiv:2212.14056CERN-TH-2022-210oai:cds.cern.ch:28453772022-12-28 |
spellingShingle | hep-th Particle Physics - Theory Riembau, Marc Full Unitarity and the Moments of Scattering Amplitudes |
title | Full Unitarity and the Moments of Scattering Amplitudes |
title_full | Full Unitarity and the Moments of Scattering Amplitudes |
title_fullStr | Full Unitarity and the Moments of Scattering Amplitudes |
title_full_unstemmed | Full Unitarity and the Moments of Scattering Amplitudes |
title_short | Full Unitarity and the Moments of Scattering Amplitudes |
title_sort | full unitarity and the moments of scattering amplitudes |
topic | hep-th Particle Physics - Theory |
url | http://cds.cern.ch/record/2845377 |
work_keys_str_mv | AT riembaumarc fullunitarityandthemomentsofscatteringamplitudes |