Primal S-matrix bootstrap with dispersion relations
File(s)
Published version
Author(s)
de Rham, Claudia
Tolley, Andrew J
Wang, Zhuo-Hui
Zhou, Shuang-Yong
Type
Journal Article
Abstract
We propose a new method for constructing the consistent space of scattering amplitudes by parameterizing the imaginary parts of partial waves and utilizing dispersion relations, crossing symmetry, and full unitarity. Using this framework, we explicitly compute bounds on the leading couplings and examine the Regge behaviors of the constructed amplitudes. The method also readily accommodates spinning bound states, which we use to constrain glueball couplings. By incorporating dispersion relations, our approach inherently satisfies the Froissart-Martin/Jin-Martin bounds or softer high-energy behaviors by construction. This, in turn, allows us to formulate a new class of fractionally subtracted dispersion relations, through which we investigate the sensitivity of coupling bounds to the asymptotic growth rate.
Date Issued
2026-01-05
Date Acceptance
2025-11-17
Citation
Journal of High Energy Physics (JHEP), 2026, 2026 (1)
ISSN
1126-6708
Publisher
SpringerOpen
Journal / Book Title
Journal of High Energy Physics (JHEP)
Volume
2026
Issue
1
Copyright Statement
© The Authors. Article funded by SCOAP3 . Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
License URL
Publication Status
Published
Article Number
27
Date Publish Online
2026-01-05