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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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Autor principal: Riembau, Marc
Lenguaje:eng
Publicado: 2022
Materias:
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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
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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