  This work presents a comprehensive overview of the physics of vector boson
scattering (VBS) in the dawn of Run 2 of the Large Hadron Collider (LHC).
Recalled here are some of its most basic physics principles, the historical
relation between vector boson scattering and the Higgs boson, then discussed is
the physics of VBS processes after Higgs discovery, and the prospects for
future VBS measurements at the LHC and beyond. This monograph reviews the work
of many people, including previously published theoretical work as well as
experimental results, but also contains a portion of original simulation-based
studies that have not been published before.
