Locality and Analyticity of the Crossing Symmetric Dispersion Relation

Autor: Chowdhury, Debapriyo, Haldar, Parthiv, Zahed, Ahmadullah
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