  We propose a renormalization scheme for non-local Quantum Field Theories
(QFTs) with infinite derivatives inspired by string theory. Our Non-locality
Renormalization Scheme (NRS) is inspired by Dimensional Regularization (DR) in
local QFTs and is shown to significantly improve the UV behavior of non-local
QFTs. We illustrate the scheme using simple examples from the phi3 and phi4
theories, then we evaluate the viability of NRS-enhanced non-local QFTs to
solve the hierarchy problem using a simplified toy model. We find that
non-locality protects the mass of a light scalar from receiving large
corrections from any UV sector to which it couples, as long as the non-locality
scale M is sufficiently smaller than the scale of the UV sector. We also find
that NRS eliminates any large threshold corrections from the IR sector

High Energy Physics - Theory;High Energy Physics - Phenomenology