This workshop is part of a series exploring the physics ofelectron-positron collisions at very high energy Linear Colliders (LCs), aiming to stimulate the discussion of opportunities offered by different projects under discussion in the particle physics community. Interconnections between results from the Large Hadron Collider, including the recent Higgs discovery, astrophysics results, and LC issues, such as flavour phenomena, Electro-Weak (EW) interactions, Higgs and top analyses, Beyond the Standard Model (BSM) searches, vector boson scatterings, hadronic states in both exclusive and inclusive observables, such as total cross-sections, will be discussed. The specificity of the workshop will be the interplay of all these studies with QCD effects in the Infra-Red (IR) regime.