The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

Thomas Luthe (Faculty of Physics, University of Bielefeld, 33501, Bielefeld, Germany) ; Andreas Maier (Institute for Particle Physics Phenomenology, Durham University, Durham, United Kingdom) ; Peter Marquard (Deutsches Elektronen Synchrotron (DESY), Platanenallee 6, Zeuthen, Germany) ; York Schröder (Grupo de Cosmología y Partículas Elementales, Universidad del Bío-Bío, Casilla 447, Chillán, Chile)

We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of N f fermions. By using the same machinery that had allowed us to evaluate the sub-leading large- N f term of the five-loop Beta function earlier, we here report on a confirmation of the all- N f result that has in the meantime been published by another group. Furthermore, in order to push forward the 5-loop renormalization program regarding gauge parameter dependence, we present the linear terms of the complete set of anomalous dimensions, in an expansion in the covariant gauge parameter around the Feynman gauge.

{
  "_oai": {
    "updated": "2018-05-02T14:05:07Z", 
    "id": "oai:repo.scoap3.org:22246"
  }, 
  "authors": [
    {
      "raw_name": "Luthe, Thomas", 
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Faculty of Physics, University of Bielefeld, 33501, Bielefeld, Germany"
        }
      ], 
      "surname": "Luthe", 
      "given_names": "Thomas", 
      "full_name": "Luthe, Thomas"
    }, 
    {
      "raw_name": "Maier, Andreas", 
      "affiliations": [
        {
          "country": "UK", 
          "value": "Institute for Particle Physics Phenomenology, Durham University, Durham, United Kingdom"
        }
      ], 
      "surname": "Maier", 
      "given_names": "Andreas", 
      "full_name": "Maier, Andreas"
    }, 
    {
      "raw_name": "Marquard, Peter", 
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Deutsches Elektronen Synchrotron (DESY), Platanenallee 6, Zeuthen, Germany"
        }
      ], 
      "surname": "Marquard", 
      "given_names": "Peter", 
      "full_name": "Marquard, Peter"
    }, 
    {
      "surname": "Schr\u00f6der", 
      "given_names": "York", 
      "raw_name": "Schr\u00f6der, York", 
      "affiliations": [
        {
          "country": "Chile", 
          "value": "Grupo de Cosmolog\u00eda y Part\u00edculas Elementales, Universidad del B\u00edo-B\u00edo, Casilla 447, Chill\u00e1n, Chile"
        }
      ], 
      "full_name": "Schr\u00f6der, York", 
      "orcid": "0000-0003-3535-4194"
    }
  ], 
  "titles": [
    {
      "source": "Springer/SISSA", 
      "title": "The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP10(2017)166"
    }
  ], 
  "publication_info": [
    {
      "page_start": "166", 
      "material": "article", 
      "journal_title": "Journal of High Energy Physics", 
      "year": 2017
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2017-11-14T00:00:00", 
    "source": "Springer/SISSA", 
    "method": "scoap3", 
    "submission_number": "d0e9dd1c4e0411e88b5202163e01809a"
  }, 
  "page_nr": [
    19
  ], 
  "license": [
    {
      "url": "http://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "statement": "The Author(s)"
    }
  ], 
  "control_number": "22246", 
  "record_creation_date": "2017-11-14T00:00:00", 
  "_files": [
    {
      "checksum": "md5:8bcb763a6fb676951f79bda7958e6a3d", 
      "filetype": "xml", 
      "bucket": "3c9c4362-a44b-49dc-aca0-b6c6ed90e4aa", 
      "version_id": "29d5cdae-2a93-43b3-873c-434f50cf0b24", 
      "key": "10.1007/JHEP10(2017)166.xml", 
      "size": 64737
    }, 
    {
      "checksum": "md5:e5b6e4f0ef2b0618ba27ab52c04f0257", 
      "filetype": "pdf/a", 
      "bucket": "3c9c4362-a44b-49dc-aca0-b6c6ed90e4aa", 
      "version_id": "7afeb44c-a9de-4f4e-9a75-9d41ffaab089", 
      "key": "10.1007/JHEP10(2017)166_a.pdf", 
      "size": 533167
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-ph", 
        "hep-th"
      ], 
      "value": "1709.07718"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer/SISSA", 
      "value": "We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of N f fermions. By using the same machinery that had allowed us to evaluate the sub-leading large- N f term of the five-loop Beta function earlier, we here report on a confirmation of the all- N f result that has in the meantime been published by another group. Furthermore, in order to push forward the 5-loop renormalization program regarding gauge parameter dependence, we present the linear terms of the complete set of anomalous dimensions, in an expansion in the covariant gauge parameter around the Feynman gauge."
    }
  ], 
  "imprints": [
    {
      "date": "2017-10-24", 
      "publisher": "Springer/SISSA"
    }
  ]
}
Published on:
24 October 2017
Publisher:
Springer/SISSA
Published in:
Journal of High Energy Physics (2017)

DOI:
https://doi.org/10.1007/JHEP10(2017)166
arXiv:
1709.07718
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: