Speaker
Description
In this talk, I present a dispersive framework for unitarizing electroweak amplitudes using continuous spectral densities. Assuming fixed-angle UV softness, analyticity, crossing symmetry, and unitarity leads to sum rules that relate the infrared electroweak amplitude to positive spectral moments. For the $WWWW$ scattering process, the amplitude grows as $E^2$ if only gauge-boson contributions are included. I then show that the Higgs-like solution is not unique: one obtains an explicit infinite tower of neutral higher-spin states with non-negative moments that reproduces the same infrared behavior. For suitable spectral densities, the resulting amplitude reproduces the required low-energy electroweak limit and can remain UV-soft at fixed angle. These results clarify how continuum spectra and higher-spin towers can enter the dispersive unitarization of electroweak amplitudes.