CERN LHC sensitivity to the resonance spectrum of a minimal strongly interacting electroweak symmetry breaking sector

We present a unified analysis of the two main production processes of vector boson pairs at the CERN LHC, $\mathrm{VV}$-fusion and $q\overline{q}$ annihilation, in a minimal strongly interacting electroweak symmetry breaking sector. Using a unitarized electroweak chiral Lagrangian formalism and modeling the final ${V}_{L}{V}_{L}$ strong rescattering effects by a form factor, we describe $q\overline{q}$ annihilation processes in terms of the two chiral parameters that govern elastic ${V}_{L}{V}_{L}$ scattering. Depending on the values of these two chiral parameters, the unitarized amplitudes may present resonant enhancements in different angular momentum-isospin channels. Scanning this two parameter space, we generate the general resonance spectrum of a minimal strongly interacting electroweak symmetry breaking sector and determine the regions that can be probed at the CERN LHC.