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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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 �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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