Strong tW scattering at the LHC

Deviations of the top electroweak couplings from their Standard
Model values imply that certain scattering amplitudes of third generation
fermions and longitudinally polarized vector bosons and/or Higgses grow
with energy. In this talk I will demonstrate how to use the high energies
accessible at the LHC to enhance the sensitivity to non-standard top-Z
couplings, which are currently very weakly constrained. I demonstrate the
effectiveness of the approach by performing a detailed analysis of tW -> tW
scattering, which can be probed at the LHC via pp -> ttWj. I will also
present other scattering processes in the same class that could provide
further tests of the top sector.