Positivity Constraints on Interacting Pseudo-Linear Spin-2 Fields

TL;DR

This paper uses positivity bounds to analyze the effective field theory of interacting pseudo-linear spin-2 fields, revealing incompatibility with standard local UV completions and impacting EFT organization.

Contribution

It demonstrates that the leading interactions of pseudo-linear spin-2 fields cannot be compatible with a standard local UV completion, generalizing previous results.

Findings

No compatible parameter region for standard UV completion.

Results apply to any number of interacting pseudo-linear spin-2 fields.

Implications for organizing EFT expansions for pseudo-linear fields.

Abstract

We explore the effective field theory for single and multiple interacting pseudo-linear spin-2 fields. By applying forward limit positivity bounds, we show that among the parameters contributing to elastic tree level scattering amplitude, there is no region of compatibility of the leading interactions with a standard local UV completion. Our result generalizes to any number of interacting pseudo-linear spin-2 fields. These results have significant implications for the organization of the effective field theory expansion for pseudo-linear fields.