  In this work we study the phenomenology of the process $pp\to W^+W^-jj$ at
the LHC, in the scenario of the resonant vector boson scattering subprocess
$W^+W^-\to W^+W^-$ which we describe within the effective field theory
framework of the Electroweak Chiral Lagrangian. We assume a strongly
interacting electroweak symmetry breaking sector in which dynamically generated
resonances with masses in the TeV scale appear as poles in the Electroweak
Chiral Lagrangian amplitudes unitarized with the Inverse Amplitude Method. The
relevant resonance here, $V_0$, is the neutral component of the triplet of
vector resonances which are known to emerge dynamically at the TeV scale for
specific values of the Electroweak Chiral Lagrangian parameters. With the aim
of studying the production and possible observation of $V^0$ at the LHC, via
the resonant $W^+W^-\to W^+W^-$ scattering, a MadGraph~5 UFO model has been
developed employing a phenomenological Proca Lagrangian as a practical tool to
mimic the correct $V^0$ properties that are predicted with the Inverse
Amplitude Method. We choose to study the fully hadronic decay channel of the
final gauge bosons $W W\to J(jj)J(jj)$ since it leads to larger event rates and
because in the alternative leptonic decay channels the presence of neutrinos
complicates the reconstruction of the resonance properties. In this context,
the 2 boosted jets from the $W$ hadronic decays, $jj$, are detected as a single
fat jet, $J$, due to their extreme collinearity. We perform a dedicated
analysis of the sensitivity to these vector resonances $V^0$ with masses
between 1.5 and 2.5 TeV at the LHC with $\sqrt{s}=13$ TeV and the planned high
luminosity of 3000 ${\rm fb}^{-1}$, paying special attention to the study of
efficient cuts to extract the resonant vector boson fusion signal from the QCD
background, which clearly represents the main challenge of this search.
