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

Abu-Ajamieh, F and Vempati, SK (2023) A proposed renormalization scheme for non-local QFTs and application to the hierarchy problem. In: European Physical Journal C, 83 (11).

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Official URL: https://doi.org/10.1140/epjc/s10052-023-12252-w


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 �3 and �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 � is sufficiently smaller than the scale of the UV sector. We also find that NRS eliminates any large threshold corrections from the IR sector. © 2023, The Author(s).

Item Type: Journal Article
Publication: European Physical Journal C
Publisher: Institute for Ionics
Additional Information: The copyright for this article belongs to Author
Keywords: Dimensional regularization; Field application; Hierarchy problem; Nonlocal; Nonlocalities; Quantum field theory; Renormalization; Simple++; Threshold corrections; Toy models, String theory
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 29 Feb 2024 06:27
Last Modified: 29 Feb 2024 06:27
URI: https://eprints.iisc.ac.in/id/eprint/83751

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