QCD factorization of quasi generalized gluon distributions

J. Ma (CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences, Beijing, 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China; School of Physics and Center for High-Energy Physics, Peking University, Beijing, 100871, China) ; Z. Pang (CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences, Beijing, 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China) ; C. Zhang (CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences, Beijing, 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China) ; G. Zhang (Department of Physics, Yunnan University, Kunming, Yunnan, 650091, China)

We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They are free from any collinear- or I.R. divergences. Unlike the case of the factorization of quasi quark GPDs at one-loop, we have to add ghost contributions for the factorization of quasi gluon GPDs in order to obtain gauge-invariant results. In general, operators will be mixed beyond tree-level. Our work shows that the mixing pattern of the nonlocal operators in quasi gluon GPDs is the same as those of local operators, i.e., the nonlocal operators considered are mixed with gauge-invariant operators, BRST-variation operators and operators involving EOM operator. The factorization relations are obtained for all quasi gluon GPDs. Taking the forward limit, we also obtain the relations between quasi gluon PDFs and twist-2 PDFs.

{
  "_oai": {
    "updated": "2023-07-25T00:32:27Z", 
    "id": "oai:repo.scoap3.org:76830", 
    "sets": [
      "JHEP"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "China", 
          "value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences, Beijing, 100190, China", 
          "organization": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences"
        }, 
        {
          "country": "China", 
          "value": "School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China", 
          "organization": "University of Chinese Academy of Sciences"
        }, 
        {
          "country": "China", 
          "value": "School of Physics and Center for High-Energy Physics, Peking University, Beijing, 100871, China", 
          "organization": "Peking University"
        }
      ], 
      "surname": "Ma", 
      "email": "majp@itp.ac.cn", 
      "full_name": "Ma, J.", 
      "given_names": "J."
    }, 
    {
      "affiliations": [
        {
          "country": "China", 
          "value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences, Beijing, 100190, China", 
          "organization": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences"
        }, 
        {
          "country": "China", 
          "value": "School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China", 
          "organization": "University of Chinese Academy of Sciences"
        }
      ], 
      "surname": "Pang", 
      "email": "pangzhuoyi@mail.itp.ac.cn", 
      "full_name": "Pang, Z.", 
      "given_names": "Z."
    }, 
    {
      "affiliations": [
        {
          "country": "China", 
          "value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences, Beijing, 100190, China", 
          "organization": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of Sciences"
        }, 
        {
          "country": "China", 
          "value": "School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China", 
          "organization": "University of Chinese Academy of Sciences"
        }
      ], 
      "surname": "Zhang", 
      "email": "zhangchengpu@itp.ac.cn", 
      "full_name": "Zhang, C.", 
      "given_names": "C."
    }, 
    {
      "affiliations": [
        {
          "country": "China", 
          "value": "Department of Physics, Yunnan University, Kunming, Yunnan, 650091, China", 
          "organization": "Yunnan University"
        }
      ], 
      "surname": "Zhang", 
      "email": "gpzhang@ynu.edu.cn", 
      "full_name": "Zhang, G.", 
      "given_names": "G."
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "QCD factorization of quasi generalized gluon distributions"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP04(2023)001"
    }
  ], 
  "publication_info": [
    {
      "page_end": "27", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2023", 
      "artid": "JHEP04(2023)001", 
      "year": 2023, 
      "page_start": "1", 
      "journal_issue": "4"
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2023-07-25T00:30:55.618875", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "639de6b22a8211ee91ac6ee2827c7def"
  }, 
  "page_nr": [
    27
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2023"
    }
  ], 
  "control_number": "76830", 
  "record_creation_date": "2023-04-04T03:30:16.468783", 
  "_files": [
    {
      "checksum": "md5:3e6ae9ef8114bd9290bd140d9c435ca6", 
      "filetype": "xml", 
      "bucket": "8700f167-f97a-4428-99ab-6ad2c2f4c81a", 
      "version_id": "4565fa6d-84e3-4527-9214-f6d5c1fbad92", 
      "key": "10.1007/JHEP04(2023)001.xml", 
      "size": 13317
    }, 
    {
      "checksum": "md5:38dd6debcaf075b3b6825a05a32dcdf7", 
      "filetype": "pdf/a", 
      "bucket": "8700f167-f97a-4428-99ab-6ad2c2f4c81a", 
      "version_id": "3f6cd071-4745-4245-94d8-4c1a4ccb925c", 
      "key": "10.1007/JHEP04(2023)001_a.pdf", 
      "size": 579927
    }
  ], 
  "collections": [
    {
      "primary": "Journal of High Energy Physics"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-ph", 
        "hep-lat"
      ], 
      "value": "2212.08238"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They are free from any collinear- or I.R. divergences. Unlike the case of the factorization of quasi quark GPDs at one-loop, we have to add ghost contributions for the factorization of quasi gluon GPDs in order to obtain gauge-invariant results. In general, operators will be mixed beyond tree-level. Our work shows that the mixing pattern of the nonlocal operators in quasi gluon GPDs is the same as those of local operators, i.e., the nonlocal operators considered are mixed with gauge-invariant operators, BRST-variation operators and operators involving EOM operator. The factorization relations are obtained for all quasi gluon GPDs. Taking the forward limit, we also obtain the relations between quasi gluon PDFs and twist-2 PDFs."
    }
  ], 
  "imprints": [
    {
      "date": "2023-04-03", 
      "publisher": "Springer"
    }
  ]
}
Published on:
03 April 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 4
Pages 1-27
DOI:
https://doi.org/10.1007/JHEP04(2023)001
arXiv:
2212.08238
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: