https://doi.org/10.1140/epjc/s10052-023-12252-w
Letter
A proposed renormalization scheme for non-local QFTs and application to the hierarchy problem
Centre for High Energy Physics, Indian Institute of Science, 560012, Bangalore, India
Received:
13
September
2023
Accepted:
10
November
2023
Published online:
22
November
2023
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 
and 
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 
is sufficiently smaller than the scale of the UV sector. We also find that NRS eliminates any large threshold corrections from the IR sector.
© The Author(s) 2023
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