A proposed renormalization scheme for non-local QFTs and application to the hierarchy problem.

Bibliographic Details
Title: A proposed renormalization scheme for non-local QFTs and application to the hierarchy problem.
Authors: Abu-Ajamieh, Fayez1 (AUTHOR), Vempati, Sudhir K.1 (AUTHOR) vempati@iisc.ac.in
Superior Title: European Physical Journal C -- Particles & Fields. Nov2023, Vol. 83 Issue 11, p1-12. 12p.
Subject Terms: *RENORMALIZATION (Physics), *QUANTUM field theory, *STRING theory, *PROBLEM solving
Abstract: 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 ϕ 3 and ϕ 4 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 Λ is sufficiently smaller than the scale of the UV sector. We also find that NRS eliminates any large threshold corrections from the IR sector. [ABSTRACT FROM AUTHOR]
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