Testing the bootstrap constraints in the strange sector

TL;DR

This paper tests bootstrap constraints derived from effective scattering theory in the strange sector, verifying their consistency with known resonance data and identifying some sum rules that are not yet saturated.

Contribution

It constructs and numerically tests bootstrap sum rules for strange resonance parameters within effective scattering theory, highlighting areas of agreement and discrepancy.

Findings

Bootstrap constraints are generally consistent with known data.

Some sum rules cannot be saturated with current data.

Discrepancies may indicate the need for more precise measurements or theory refinements.

Abstract

In this paper the bootstrap conditions that follow from the general postulates of effective scattering theory (EST) are checked in the strange sector. We construct the system of tree level bootstrap constraints for the renormalization prescriptions fixing the physical content of the theory. Then we perform the numerical testing of corresponding sum rules for the parameters of strange resonances. It is shown that, generally, the bootstrap constraints turn out consistent with presently known data on the strange resonance parameters. At the same time we point out few sum rules which cannot be saturated with modern data and discuss the possible reasons for such discrepancies.