{
  "_oai": {
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  "authors": [
    {
      "raw_name": "J.\u2009L. Guti\u00e9rrez Santiago", 
      "affiliations": [
        {
          "country": "Mexico", 
          "value": "Departamento de F\u00edsica, Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional, Apartado Postal 14-740, C.P. 07000 Ciudad de M\u00e9xico, M\u00e9xico"
        }
      ], 
      "surname": "Guti\u00e9rrez Santiago", 
      "given_names": "J.\u2009L.", 
      "full_name": "Guti\u00e9rrez Santiago, J.\u2009L."
    }, 
    {
      "raw_name": "G. L\u00f3pez Castro", 
      "affiliations": [
        {
          "country": "Mexico", 
          "value": "Departamento de F\u00edsica, Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional, Apartado Postal 14-740, C.P. 07000 Ciudad de M\u00e9xico, M\u00e9xico"
        }
      ], 
      "surname": "L\u00f3pez Castro", 
      "given_names": "G.", 
      "full_name": "L\u00f3pez Castro, G."
    }
  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "Contribution of exclusive <math><mo>(</mo><msup><mi>\u03c0</mi><mn>0</mn></msup><msup><mi>\u03c0</mi><mn>0</mn></msup><mo>,</mo><msup><mi>\u03c0</mi><mn>0</mn></msup><mi>\u03b7</mi><mo>,</mo><mi>\u03b7</mi><mi>\u03b7</mi><mo>)</mo><mi>\u03b3</mi></math> channels to the leading order HVP of the muon <math><mi>g</mi><mo>\u2212</mo><mn>2</mn></math>"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevD.106.073009"
    }
  ], 
  "publication_info": [
    {
      "journal_volume": "106", 
      "journal_title": "Physical Review D", 
      "material": "article", 
      "journal_issue": "7", 
      "year": 2022
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
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    "submission_number": "d28b8c36572011eda33ab6e03099cfc1"
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  "page_nr": [
    15
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  "license": [
    {
      "url": "https://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "statement": "Published by the American Physical Society", 
      "year": "2022"
    }
  ], 
  "control_number": "73569", 
  "record_creation_date": "2022-10-28T18:30:15.865131", 
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  ], 
  "collections": [
    {
      "primary": "HEP"
    }, 
    {
      "primary": "Citeable"
    }, 
    {
      "primary": "Published"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-ph", 
        "hep-ex"
      ], 
      "value": "2205.07130"
    }
  ], 
  "abstracts": [
    {
      "source": "APS", 
      "value": "We evaluate the contributions of <math><mo>(</mo><msup><mi>\u03c0</mi><mn>0</mn></msup><msup><mi>\u03c0</mi><mn>0</mn></msup><mo>,</mo><msup><mi>\u03c0</mi><mn>0</mn></msup><mi>\u03b7</mi><mo>,</mo><mi>\u03b7</mi><mi>\u03b7</mi><mo>)</mo><mi>\u03b3</mi></math> exclusive channels to the leading order hadronic vacuum polarization (HVP) of the muon anomalous magnetic moment. These final states can be viewed as decay subchannels in previous evaluations of the <math><msup><mi>\u03c0</mi><mn>0</mn></msup><mi>\u03c9</mi><mo>,</mo><mi>\u03b7</mi><mi>\u03c9</mi></math>, and <math><mi>\u03b7</mi><mi>\u03d5</mi></math> contributions to <math><msubsup><mi>a</mi><mi>\u03bc</mi><mrow><mi>had</mi><mo>,</mo><mi>LO</mi></mrow></msubsup></math>, where the vector resonances (decaying into <math><msup><mi>\u03c0</mi><mn>0</mn></msup><mo>/</mo><mi>\u03b7</mi><mo>+</mo><mi>\u03b3</mi></math>) are assumed to be on-shell. Since the separation of resonance and background contributions in a given observable is, in general, a model-dependent procedure, here we use pseudoscalar mesons and the photon as the in and out states of the <math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><mo>(</mo><msup><mrow><mi>\u03c0</mi></mrow><mrow><mn>0</mn></mrow></msup><msup><mrow><mi>\u03c0</mi></mrow><mrow><mn>0</mn></mrow></msup><mo>,</mo><msup><mrow><mi>\u03c0</mi></mrow><mrow><mn>0</mn></mrow></msup><mi>\u03b7</mi><mo>,</mo><mi>\u03b7</mi><mi>\u03b7</mi><mo>)</mo><mi>\u03b3</mi></mrow></math> <math><mrow><mi>S</mi></mrow></math>-matrix, such that the cross section contains the interferences among different contributions to the amplitudes. We find <math><mrow><msubsup><mrow><mi>a</mi></mrow><mrow><mi>\u03bc</mi></mrow><mrow><mi>had</mi><mo>,</mo><mi>LO</mi></mrow></msubsup><mo>(</mo><msubsup><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>0</mn></mrow></msubsup><msubsup><mrow><mi>P</mi></mrow><mrow><mn>2</mn></mrow><mrow><mn>0</mn></mrow></msubsup><mi>\u03b3</mi><mo>)</mo><mo>=</mo><mo>(</mo><mn>1.17</mn><mo>\u00b1</mo><mn>0.13</mn><mo>)</mo><mo>\u00d7</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>\u2212</mo><mn>10</mn></mrow></msup></mrow></math>, where uncertainties stem mainly from vector meson dominance model parameters. Improved experimental studies of these exclusive channels in the whole range below 2 GeV would reduce model-dependency."
    }
  ], 
  "imprints": [
    {
      "date": "2022-10-28", 
      "publisher": "APS"
    }
  ]
}