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Locality and analyticity of the crossing symmetric dispersion relation

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  • Published: 27 October 2022
  • Volume 2022, article number 180, (2022)
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Locality and analyticity of the crossing symmetric dispersion relation
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  • Debapriyo Chowdhury1,
  • Parthiv Haldar1 &
  • Ahmadullah Zahed  ORCID: orcid.org/0000-0003-1252-81711 

  • 289 Accesses

  • 5 Citations

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A preprint version of the article is available at arXiv.

Abstract

This paper discusses the locality and analyticity of the crossing symmetric dispersion relation (CSDR). Imposing locality constraints on the CSDR gives rise to a local and fully crossing symmetric expansion of scattering amplitudes, dubbed as Feynman block expansion. A general formula is provided for the contact terms that emerge from the expansion. The analyticity domain of the expansion is also derived analogously to the Lehmann-Martin ellipse. Our observation of type-II super-string tree amplitude suggests that the Feynman block expansion has a bigger analyticity domain and better convergence.

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  1. Centre for High Energy Physics, Indian Institute of Science, C.V. Raman Avenue, Bangalore, 560012, India

    Debapriyo Chowdhury, Parthiv Haldar & Ahmadullah Zahed

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  1. Debapriyo Chowdhury
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  2. Parthiv Haldar
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  3. Ahmadullah Zahed
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Correspondence to Ahmadullah Zahed.

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Chowdhury, D., Haldar, P. & Zahed, A. Locality and analyticity of the crossing symmetric dispersion relation. J. High Energ. Phys. 2022, 180 (2022). https://doi.org/10.1007/JHEP10(2022)180

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  • Received: 22 June 2022

  • Revised: 22 September 2022

  • Accepted: 17 October 2022

  • Published: 27 October 2022

  • DOI: https://doi.org/10.1007/JHEP10(2022)180

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Keywords

  • Field Theories in Higher Dimensions
  • Scattering Amplitudes
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