  Non-local extensions of the Standard Model with a non-locality scale
$\Lambda_{NL}$ have the effect of smearing the pointlike vertices of the
Standard Model. At energies significantly lower than $\Lambda_{NL}$ vertices
appear pointlike, while beyond this scale all beta functions vanish and all
couplings approach a fixed point leading to scale invariance. Non-local SM
extensions are ghost free, with the non-locality scale serving as an effective
cutoff to radiative corrections of the Higgs mass. We argue that the data
expected to be collected at the LHC phase 2 will have a sensitivity to
non-local effects originating from a non-locality scale of a few TeV. Using an
infinite derivative prescription, we study modifications to heavy vector-boson
cross sections that can lead to an enhanced production of boosted Higgs bosons
in a region of the kinematic phase space where the SM background is very small.
