The three-loop single mass polarized pure singlet operator matrix element

J. Ablinger (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria) ; A. Behring (Institut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT), Karlsruhe, Germany) ; J. Blümlein (Deutsches Elektronen–Synchrotron, DESY, Zeuthen, Germany) ; A. De Freitas (Deutsches Elektronen–Synchrotron, DESY, Zeuthen, Germany) ; A. von Manteuffel (Department of Physics and Astronomy, Michigan State University, East Lansing, USA) ; et al. - Show all 7 authors

We calculate the massive polarized three-loop pure singlet operator matrix element AQq(3),PS in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient HQq(3),PS in deep-inelastic scattering and constitutes a three-loop transition matrix element in the variable flavor number scheme. We provide analytic results in Mellin N and in x space and study the behaviour of this operator matrix element in the region of small and large values of the Bjorken variable x.

{
  "license": [
    {
      "url": "http://creativecommons.org/licenses/by/3.0/", 
      "license": "CC-BY-3.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "statement": "The Author(s)", 
      "year": "2020"
    }
  ], 
  "control_number": "52615", 
  "_oai": {
    "updated": "2020-03-23T16:52:11Z", 
    "id": "oai:repo.scoap3.org:52615", 
    "sets": [
      "NPB"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "Austria", 
          "value": "Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria"
        }
      ], 
      "surname": "Ablinger", 
      "given_names": "J.", 
      "full_name": "Ablinger, J."
    }, 
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Theoretische Teilchenphysik, Karlsruher Institut f\u00fcr Technologie (KIT), Karlsruhe, Germany"
        }
      ], 
      "surname": "Behring", 
      "given_names": "A.", 
      "full_name": "Behring, A."
    }, 
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Deutsches Elektronen\u2013Synchrotron, DESY, Zeuthen, Germany"
        }
      ], 
      "surname": "Bl\u00fcmlein", 
      "email": "Johannes.Bluemlein@desy.de", 
      "full_name": "Bl\u00fcmlein, J.", 
      "given_names": "J."
    }, 
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Deutsches Elektronen\u2013Synchrotron, DESY, Zeuthen, Germany"
        }
      ], 
      "surname": "De Freitas", 
      "given_names": "A.", 
      "full_name": "De Freitas, A."
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics and Astronomy, Michigan State University, East Lansing, USA"
        }
      ], 
      "surname": "von Manteuffel", 
      "given_names": "A.", 
      "full_name": "von Manteuffel, A."
    }, 
    {
      "affiliations": [
        {
          "country": "Austria", 
          "value": "Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria"
        }
      ], 
      "surname": "Schneider", 
      "given_names": "C.", 
      "full_name": "Schneider, C."
    }, 
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Theoretische Teilchenphysik, Karlsruher Institut f\u00fcr Technologie (KIT), Karlsruhe, Germany"
        }, 
        {
          "country": "Germany", 
          "value": "Deutsches Elektronen\u2013Synchrotron, DESY, Zeuthen, Germany"
        }
      ], 
      "surname": "Sch\u00f6nwald", 
      "given_names": "K.", 
      "full_name": "Sch\u00f6nwald, K."
    }
  ], 
  "_files": [
    {
      "checksum": "md5:5842cd2507c3f86ef2d1969f147530be", 
      "filetype": "xml", 
      "bucket": "6169b5a5-bc31-40a2-932f-1f322446a7b6", 
      "version_id": "cc6ef53d-70a7-4e65-a690-dc5208c4d9d8", 
      "key": "10.1016/j.nuclphysb.2020.114945.xml", 
      "size": 321840
    }, 
    {
      "checksum": "md5:903448d77f1fea9bbe720c5ff2c92224", 
      "filetype": "pdf", 
      "bucket": "6169b5a5-bc31-40a2-932f-1f322446a7b6", 
      "version_id": "61b0726a-06fb-4419-b449-284ba5dc82ff", 
      "key": "10.1016/j.nuclphysb.2020.114945.pdf", 
      "size": 514746
    }, 
    {
      "checksum": "md5:fecc3a0408bd05e85989ef4e7315710b", 
      "filetype": "pdf/a", 
      "bucket": "6169b5a5-bc31-40a2-932f-1f322446a7b6", 
      "version_id": "0689b95e-8ce0-40ef-81c5-5254121e0981", 
      "key": "10.1016/j.nuclphysb.2020.114945_a.pdf", 
      "size": 840371
    }
  ], 
  "record_creation_date": "2020-02-11T16:30:11.927174", 
  "titles": [
    {
      "source": "Elsevier", 
      "title": "The three-loop single mass polarized pure singlet operator matrix element"
    }
  ], 
  "collections": [
    {
      "primary": "Nuclear Physics B"
    }
  ], 
  "dois": [
    {
      "value": "10.1016/j.nuclphysb.2020.114945"
    }
  ], 
  "publication_info": [
    {
      "journal_volume": "953 C", 
      "journal_title": "Nuclear Physics B", 
      "material": "article", 
      "artid": "114945", 
      "year": 2020
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "abstracts": [
    {
      "source": "Elsevier", 
      "value": "We calculate the massive polarized three-loop pure singlet operator matrix element <math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>Q</mi><mi>q</mi></mrow><mrow><mo>(</mo><mn>3</mn><mo>)</mo><mo>,</mo><mrow><mi>PS</mi></mrow></mrow></msubsup></math> in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient <math><msubsup><mrow><mi>H</mi></mrow><mrow><mi>Q</mi><mi>q</mi></mrow><mrow><mo>(</mo><mn>3</mn><mo>)</mo><mo>,</mo><mrow><mi>PS</mi></mrow></mrow></msubsup></math> in deep-inelastic scattering and constitutes a three-loop transition matrix element in the variable flavor number scheme. We provide analytic results in Mellin N and in x space and study the behaviour of this operator matrix element in the region of small and large values of the Bjorken variable x."
    }
  ], 
  "imprints": [
    {
      "date": "2020-03-23", 
      "publisher": "Elsevier"
    }
  ], 
  "acquisition_source": {
    "date": "2020-03-23T17:39:05.813027", 
    "source": "Elsevier", 
    "method": "Elsevier", 
    "submission_number": "1b26d0ee6d2311eabc4402163e01809a"
  }
}
Published on:
23 March 2020
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 953 C (2020)

Article ID: 114945
DOI:
https://doi.org/10.1016/j.nuclphysb.2020.114945
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: