Description
In this talk I will briefly explain our attempt on reexamining the old-standing problem of bounding the total cross-section in any scattering process.
I will present an analytic strategy to obtain bounds given the knowledge of some scattering data, and compare them with the numerical bounds obtained with the non-perturbative S-matrix Bootstrap. I will also argue that the amplitude that maximizes the interaction for all energy scales in scalar four dimensional theories is located at a cusp in the space of S-matrix data. The corresponding extremal amplitude presents a rich resonance structure with at least eight visible Regge trajectories with surprising properties.
Speaker
Andrea Leonardo Guerrieri
(City, University of London)
