Studying a strongly interacting electroweak sector via longitudinal gauge-boson scattering at a muon collider

We discuss the excellent prospects for a detailed study of a strongly interacting electroweak sector at a muon collider with a c.m. energy $\sqrt{s}\sim 4\hspace{0.5em}\mathrm{TeV}$. For an expected luminosity of $L=200\mathrm{}–1000{\mathrm{fb}}^{-1}$ per year, ${\mu }^{+}{\mu }^{-}$ and ${\mu }^{+}{\mu }^{+}$ (or ${\mu }^{-}{\mu }^{-})$ collisions can be used to study longitudinal $W^{+}{W}^{-}$ and $W^{+}{W}^{+}$ (or $W^{-}{W}^{-})$ scattering with considerable precision. In particular, detailed measurements of the distribution in the $\mathrm{VV}$ pair masses ${(V=W}^{\pm },Z)$ will be possible. The shape and magnitude of these distributions will provide a powerful tool for determining the nature of strong gauge-boson interactions. Event rates will be large enough that projection techniques can be used to directly isolate final states with different polarizations of the $V$’s and verify that the strong interaction cross section excess is mainly in the longitudinal-longitudinal mode.