{
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  "authors": [
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, University of Wisconsin, Madison, WI, 53706, USA", 
          "organization": "University of Wisconsin"
        }
      ], 
      "surname": "Abe", 
      "email": "yabe3@wisc.edu", 
      "full_name": "Abe, Yoshihiko", 
      "given_names": "Yoshihiko"
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Keio University, Yokohama, 223-8522, Japan", 
          "organization": "Keio University"
        }
      ], 
      "surname": "Higaki", 
      "email": "thigaki@rk.phys.keio.ac.jp", 
      "full_name": "Higaki, Tetsutaro", 
      "given_names": "Tetsutaro"
    }, 
    {
      "affiliations": [
        {
          "country": "South Korea", 
          "value": "Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS), Daejeon, 34051, Korea", 
          "organization": "Institute for Basic Science (IBS)"
        }
      ], 
      "surname": "Kawamura", 
      "email": "junkmura13@gmail.com", 
      "full_name": "Kawamura, Junichiro", 
      "given_names": "Junichiro"
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Hokkaido University, Sapporo, 060-0810, Japan", 
          "organization": "Hokkaido University"
        }
      ], 
      "surname": "Kobayashi", 
      "email": "kobayashi@particle.sci.hokudai.ac.jp", 
      "full_name": "Kobayashi, Tatsuo", 
      "given_names": "Tatsuo"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Fermion hierarchies in SU(5) grand unification from   <math> <msubsup> <mi>\u0393</mi> <mn>6</mn> <mo>\u2032</mo> </msubsup> </math>  $$ {\\Gamma}_6^{\\prime } $$  modular flavor symmetry"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP08(2023)097"
    }
  ], 
  "publication_info": [
    {
      "page_end": "26", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2023", 
      "artid": "JHEP08(2023)097", 
      "year": 2023, 
      "page_start": "1", 
      "journal_issue": "8"
    }
  ], 
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    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "4b4c5d8a75f211eea066664922b6a1d4"
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  "page_nr": [
    26
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  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2023"
    }
  ], 
  "control_number": "79683", 
  "record_creation_date": "2023-08-18T15:30:07.778225", 
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  "collections": [
    {
      "primary": "Journal of High Energy Physics"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-ph", 
        "hep-th"
      ], 
      "value": "2307.01419"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We construct an SU(5) grand unified model in which the hierarchies of the quark and lepton masses and mixing are explained by the   <math> <msubsup> <mi>\u0393</mi> <mn>6</mn> <mo>\u2032</mo> </msubsup> </math>  $$ {\\Gamma}_6^{\\prime } $$  modular flavor symmetry. The hierarchies are realized by the Froggatt-Nielsen-like mechanism due to the residual   <math> <msubsup> <mi>Z</mi> <mn>6</mn> <mi>T</mi> </msubsup> </math>  $$ {Z}_6^T $$  symmetry, approximately unbroken at \u03c4 ~ i\u221e. We argue that the   <math> <msubsup> <mi>\u0393</mi> <mn>6</mn> <mfenced> <msup> <mrow></mrow> <mo>\u2032</mo> </msup> </mfenced> </msubsup> </math>  $$ {\\Gamma}_6^{\\left({}^{\\prime}\\right)} $$  symmetry is the minimal possibility to realize the up-type quark mass hierarchies, since the Yukawa matrix is symmetric. We find a combination of the representations and modular weights and then show numerical values of (1) coefficients for the realistic fermion hierarchies."
    }
  ], 
  "imprints": [
    {
      "date": "2023-08-17", 
      "publisher": "Springer"
    }
  ]
}