Rigorous Bounds on the Analytic S Matrix

We consider a dual S-matrix bootstrap approach in d >= 3 space-time dimensions which relies solely on the rigorously proven analyticity, crossing, and unitarity properties of the scattering amplitudes. As a proof of principle, we provide rigorous upper and lower numerical bounds on the (panic coupling for the scattering of identical scalar particles in four dimensions.

Automated summary

This study presents a dual S-matrix bootstrap approach in dimensions greater than or equal to three, relying on the rigorously proven properties of scattering amplitudes. The approach provides numerical bounds for identical scalar particle scattering in four dimensions.