Locality and Analyticity of the Crossing Symmetric Dispersion Relation
Autor: | Chowdhury, Debapriyo, Haldar, Parthiv, Zahed, Ahmadullah |
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Rok vydání: | 2022 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/JHEP10(2022)180 |
Popis: | 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. Comment: v2: 31 pages, 7 figures, the version to appear in JHEP |
Databáze: | arXiv |
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