Locality and Analyticity of the Crossing Symmetric Dispersion Relation
High Energy Physics - Theory
2022-10-31 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2205.13762,
title = {Locality and Analyticity of the Crossing Symmetric Dispersion Relation},
author = {Debapriyo Chowdhury and Parthiv Haldar and Ahmadullah Zahed},
journal= {arXiv preprint arXiv:2205.13762},
year = {2022}
}
Comments
v2: 31 pages, 7 figures, the version to appear in JHEP