Coherent showers for the LHC

We present a full-fledged antenna shower for hadron collisions in the Vincia framework and focus on initial state radiation. The current version of the shower is limited to massless QCD partons and colourless resonances. As a proof-of-concept for the applicability of tree-level matrix-element corrections a la GKS we study $Z$ boson production at the LHC, corrected up to Born + $\mathcal{O}(\alpha_s^2)$, and show some first results with matrix-element corrections.