We present a lattice calculation of the low energy constants of QCD with , 4 and 5 colors and flavors of degenerate mass fermions. We fit data for the pseudoscalar meson mass, the pseudoscalar decay constant, and the axial Ward identity fermion mass to formulas from next-to-next-to leading order chiral perturbation theory. We extract the next to leading order low energy constants and study their behavior as a function of . Preexisting analyses of inform our fitting strategies.
{ "_oai": { "updated": "2023-12-06T10:41:31Z", "id": "oai:repo.scoap3.org:81898", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Thomas DeGrand", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Colorado, Boulder, Colorado 80309, USA" } ], "surname": "DeGrand", "given_names": "Thomas", "full_name": "DeGrand, Thomas" }, { "raw_name": "Evan Wickenden", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Colorado, Boulder, Colorado 80309, USA" } ], "surname": "Wickenden", "given_names": "Evan", "full_name": "Wickenden, Evan" } ], "titles": [ { "source": "APS", "title": "Lattice study of the chiral properties of large-<math><msub><mi>N</mi><mi>c</mi></msub></math> QCD" } ], "dois": [ { "value": "10.1103/PhysRevD.108.094516" } ], "publication_info": [ { "journal_volume": "108", "journal_title": "Physical Review D", "material": "article", "journal_issue": "9", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-12-06T10:38:04.656392", "source": "APS", "method": "APS", "submission_number": "77407710942311eeb8f48e9c197d18e3" }, "page_nr": [ 28 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2023" } ], "control_number": "81898", "record_creation_date": "2023-12-06T10:38:04.656425", "_files": [ { "checksum": "md5:734b4ed90b846fc4ff63455668584be4", "filetype": "pdf", "bucket": "b399a2c2-970b-4e3c-9b66-2e42662dac0b", "version_id": "59b0d56e-19f9-4917-a07b-9aeb148a67c0", "key": "10.1103/PhysRevD.108.094516.pdf", "size": 1025666 }, { "checksum": "md5:154a6022572094109349401bf8827487", "filetype": "xml", "bucket": "b399a2c2-970b-4e3c-9b66-2e42662dac0b", "version_id": "21d9bc1e-7d8e-4a97-b466-a8bab9a54b07", "key": "10.1103/PhysRevD.108.094516.xml", "size": 424654 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-lat" ], "value": "2309.12270" } ], "abstracts": [ { "source": "APS", "value": "We present a lattice calculation of the low energy constants of QCD with <math><msub><mi>N</mi><mi>c</mi></msub><mo>=</mo><mn>3</mn></math>, 4 and 5 colors and <math><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn></math> flavors of degenerate mass fermions. We fit data for the pseudoscalar meson mass, the pseudoscalar decay constant, and the axial Ward identity fermion mass to formulas from next-to-next-to leading order chiral perturbation theory. We extract the next to leading order low energy constants and study their behavior as a function of <math><msub><mi>N</mi><mi>c</mi></msub></math>. Preexisting analyses of <math><msub><mi>N</mi><mi>c</mi></msub><mo>=</mo><mn>3</mn></math> inform our fitting strategies." } ], "imprints": [ { "date": "2023-11-29", "publisher": "APS" } ] }