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

Fayez Abu-Ajamieh (Centre for High Energy Physics, Indian Institute of Science, Bangalore, 560012, India) ; Sudhir Vempati (Centre for High Energy Physics, Indian Institute of Science, Bangalore, 560012, India)

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 $$\phi ^{3}$$ ϕ 3 and $$\phi ^{4}$$ 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 $$\Lambda $$ 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.

{
  "_oai": {
    "updated": "2024-03-26T03:33:01Z", 
    "id": "oai:repo.scoap3.org:81518", 
    "sets": [
      "EPJC"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "India", 
          "value": "Centre for High Energy Physics, Indian Institute of Science, Bangalore, 560012, India", 
          "organization": "Indian Institute of Science"
        }
      ], 
      "surname": "Abu-Ajamieh", 
      "email": "fayezajamieh@iisc.ac.in", 
      "full_name": "Abu-Ajamieh, Fayez", 
      "given_names": "Fayez"
    }, 
    {
      "affiliations": [
        {
          "country": "India", 
          "value": "Centre for High Energy Physics, Indian Institute of Science, Bangalore, 560012, India", 
          "organization": "Indian Institute of Science"
        }
      ], 
      "surname": "Vempati", 
      "email": "vempati@iisc.ac.in", 
      "full_name": "Vempati, Sudhir", 
      "given_names": "Sudhir"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "A proposed renormalization scheme for non-local QFTs and application to the hierarchy problem"
    }
  ], 
  "dois": [
    {
      "value": "10.1140/epjc/s10052-023-12252-w"
    }
  ], 
  "publication_info": [
    {
      "page_end": "12", 
      "journal_title": "European Physical Journal C", 
      "material": "article", 
      "journal_volume": "83", 
      "artid": "s10052-023-12252-w", 
      "year": 2023, 
      "page_start": "1", 
      "journal_issue": "11"
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2024-03-26T03:31:57.889038", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "202ab3aaeb2111eeae4696b6a0e1ccbd"
  }, 
  "page_nr": [
    12
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2023"
    }
  ], 
  "control_number": "81518", 
  "record_creation_date": "2023-11-22T21:30:21.814138", 
  "_files": [
    {
      "checksum": "md5:49b0f41025fdbeb484557d3938b8b1e5", 
      "filetype": "xml", 
      "bucket": "1a65ff52-deb4-48f4-8c92-f7c8fb2d1462", 
      "version_id": "a0b0c040-a943-4acc-8186-b065a62fee7d", 
      "key": "10.1140/epjc/s10052-023-12252-w.xml", 
      "size": 12193
    }, 
    {
      "checksum": "md5:9fc491d48e20bbf984ab93d46f85ecd1", 
      "filetype": "pdf/a", 
      "bucket": "1a65ff52-deb4-48f4-8c92-f7c8fb2d1462", 
      "version_id": "79fa2ecc-d8ba-49e2-a64c-7322082e5f1a", 
      "key": "10.1140/epjc/s10052-023-12252-w_a.pdf", 
      "size": 626043
    }
  ], 
  "collections": [
    {
      "primary": "European Physical Journal C"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "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  $$\\phi ^{3}$$  <math> <msup> <mi>\u03d5</mi> <mn>3</mn> </msup> </math>   and  $$\\phi ^{4}$$  <math> <msup> <mi>\u03d5</mi> <mn>4</mn> </msup> </math>   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  $$\\Lambda $$  <math> <mi>\u039b</mi> </math>   is sufficiently smaller than the scale of the UV sector. We also find that NRS eliminates any large threshold corrections from the IR sector."
    }
  ], 
  "imprints": [
    {
      "date": "2023-11-22", 
      "publisher": "Springer"
    }
  ]
}
Published on:
22 November 2023
Publisher:
Springer
Published in:
European Physical Journal C , Volume 83 (2023)
Issue 11
Pages 1-12
DOI:
https://doi.org/10.1140/epjc/s10052-023-12252-w
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: