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A Proposed Renormalization Scheme for Non-local QFTs and Application to the Hierarchy Problem

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arxiv 2304.07965 v1 pith:W7XKEXIZ submitted 2023-04-17 hep-th hep-ph

A Proposed Renormalization Scheme for Non-local QFTs and Application to the Hierarchy Problem

classification hep-th hep-ph
keywords qftsnon-localschemenon-localityrenormalizationsectorcorrectionsfind
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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

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Cited by 3 Pith papers

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