We study the renormalization group (RG) running of the quark mass, for QCD with Wilson fermions in a mixed action setup, with standard Schrödinger functional (SF) boundary conditions for sea quarks and chirally rotated Schrödinger functional () boundary conditions for valence quarks. This necessitates the tuning of the boundary factor of the valence action, in order to ensure that QCD symmetries are fully recovered in the continuum. The properties of this novel setup are monitored through the ratios and of the renormalization parameters and step scaling functions of the scalar and pseudoscalar densities. Where comparison is possible, our results are found to agree with previous determinations, based on a mass ratio method [G. M. de Divitiis et al. (ALPHA Collaboration), Eur. Phys. J. C 79, 797 (2019)] and Ward identities [ J. Heitger et al. (ALPHA Collaboration), Eur. Phys. J. C 80, 765 (2020); J. Heitger et al., Eur. Phys. J. C 81, 606 (2021)], with Schrödinger functional boundary conditions. The behavior of confirms the theoretical expectations of QCD, related to the restoration of the theory’s symmetries in the continuum limit. From the step-scaling function of the pseudoscalar density we obtain the quark mass RG-running function from hadronic to perturbative energy scales. This is fully compatible with the earlier result obtained in a similar setup for Wilson quarks with Schrödinger functional boundary conditions [I. Campos et al., Eur. Phys. J. C 78, 387 (2018)], and provides a strong universality test for the two lattice setups.
{ "_oai": { "updated": "2022-04-05T10:16:51Z", "id": "oai:repo.scoap3.org:68490", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Isabel Campos Plasencia", "affiliations": [ { "country": "Spain", "value": "Instituto de F\u00edsica de Cantabria IFCA-CSIC, Avenida de los Castros s/n, 39005 Santander, Spain" } ], "surname": "Plasencia", "given_names": "Isabel Campos", "full_name": "Plasencia, Isabel Campos" }, { "raw_name": "Mattia Dalla Brida", "affiliations": [ { "country": "CERN", "value": "Theoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland" } ], "surname": "Brida", "given_names": "Mattia Dalla", "full_name": "Brida, Mattia Dalla" }, { "raw_name": "Giulia Maria de Divitiis", "affiliations": [ { "country": "Italy", "value": "Dipartimento di Fisica, Universit\u00e0 di Roma \u201cTor Vergata\u201d, Via della Ricerca Scientifica 1, 00133 Rome, Italy" }, { "country": "Italy", "value": "INFN, Sezione di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy" } ], "surname": "de Divitiis", "given_names": "Giulia Maria", "full_name": "de Divitiis, Giulia Maria" }, { "raw_name": "Andrew Lytle", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA" } ], "surname": "Lytle", "given_names": "Andrew", "full_name": "Lytle, Andrew" }, { "raw_name": "Mauro Papinutto", "affiliations": [ { "country": "Italy", "value": "Dipartimento di Fisica, Universit\u00e0 di Roma La Sapienza, and INFN, Sezione di Roma, Piazzale Aldo Moro 2, 00185 Rome, Italy" } ], "surname": "Papinutto", "given_names": "Mauro", "full_name": "Papinutto, Mauro" }, { "raw_name": "Ludovica Pirelli", "affiliations": [ { "country": "Italy", "value": "Dipartimento di Fisica, Universit\u00e0 di Roma \u201cTor Vergata\u201d, Via della Ricerca Scientifica 1, 00133 Rome, Italy" }, { "country": "Italy", "value": "INFN, Sezione di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy" } ], "surname": "Pirelli", "given_names": "Ludovica", "full_name": "Pirelli, Ludovica" }, { "raw_name": "Anastassios Vladikas", "affiliations": [ { "country": "Italy", "value": "INFN, Sezione di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy" } ], "surname": "Vladikas", "given_names": "Anastassios", "full_name": "Vladikas, Anastassios" } ], "titles": [ { "source": "APS", "title": "Nonperturbative running of the quark mass for <math><mrow><msub><mrow><mi>N</mi></mrow><mrow><mi>f</mi></mrow></msub><mo>=</mo><mn>3</mn></mrow></math> QCD from the chirally rotated Schr\u00f6dinger functional" } ], "dois": [ { "value": "10.1103/PhysRevD.105.054506" } ], "publication_info": [ { "journal_volume": "105", "journal_title": "Physical Review D", "material": "article", "journal_issue": "5", "year": 2022 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-04-05T09:26:13.769732", "source": "APS", "method": "APS", "submission_number": "3dc63052b4c211ec837fd6d834be26e1" }, "page_nr": [ 18 ], "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": "68490", "collaborations": [ { "value": "ALPHA Collaboration" } ], "_files": [ { "checksum": "md5:fbf600704d76139e0080cbb58c44c6c5", "filetype": "pdf", "bucket": "de2ffa0e-ed6a-43ce-8589-dec0ec80456f", "version_id": "cb4e5be9-e8d6-4b78-92d5-32062a82dec9", "key": "10.1103/PhysRevD.105.054506.pdf", "size": 980012 }, { "checksum": "md5:8d3cebdd649d695f9144132ba9b3f519", "filetype": "xml", "bucket": "de2ffa0e-ed6a-43ce-8589-dec0ec80456f", "version_id": "c7964e62-8c42-4c31-acd7-144afe1b30aa", "key": "10.1103/PhysRevD.105.054506.xml", "size": 392123 } ], "record_creation_date": "2022-03-14T16:30:04.081831", "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-lat" ], "value": "2112.10606" } ], "abstracts": [ { "source": "APS", "value": "We study the renormalization group (RG) running of the quark mass, for <math><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>3</mn></math> QCD with Wilson fermions in a mixed action setup, with standard Schr\u00f6dinger functional (SF) boundary conditions for sea quarks and chirally rotated Schr\u00f6dinger functional (<math><mrow><mi>\u03c7</mi><mi>SF</mi></mrow></math>) boundary conditions for valence quarks. This necessitates the tuning of the boundary factor <math><msub><mi>z</mi><mi>f</mi></msub><mo>(</mo><msubsup><mi>g</mi><mn>0</mn><mn>2</mn></msubsup><mo>)</mo></math> of the <math><mrow><mi>\u03c7</mi><mi>SF</mi></mrow></math> valence action, in order to ensure that QCD symmetries are fully recovered in the continuum. The properties of this novel setup are monitored through the ratios <math><msub><mi>Z</mi><mi>S</mi></msub><mo>/</mo><msub><mi>Z</mi><mi>P</mi></msub></math> and <math><msub><mi>\u03a3</mi><mi>S</mi></msub><mo>/</mo><msub><mi>\u03a3</mi><mi>P</mi></msub></math> of the renormalization parameters and step scaling functions of the scalar and pseudoscalar densities. Where comparison is possible, our <math><msub><mi>Z</mi><mi>S</mi></msub><mo>/</mo><msub><mi>Z</mi><mi>P</mi></msub></math> results are found to agree with previous determinations, based on a mass ratio method [G. M. de Divitiis et al. (ALPHA Collaboration), Eur. Phys. J. C 79, 797 (2019)] and Ward identities [ J. Heitger et al. (ALPHA Collaboration), Eur. Phys. J. C 80, 765 (2020); J. Heitger et al., Eur. Phys. J. C 81, 606 (2021)], with Schr\u00f6dinger functional boundary conditions. The behavior of <math><msub><mi>\u03a3</mi><mi>S</mi></msub><mo>/</mo><msub><mi>\u03a3</mi><mi>P</mi></msub></math> confirms the theoretical expectations of <math><mrow><mi>\u03c7</mi><mi>SF</mi></mrow></math> QCD, related to the restoration of the theory\u2019s symmetries in the continuum limit. From the step-scaling function of the pseudoscalar density we obtain the quark mass RG-running function from hadronic to perturbative energy scales. This is fully compatible with the earlier result obtained in a similar setup for Wilson quarks with Schr\u00f6dinger functional boundary conditions [I. Campos et al., Eur. Phys. J. C 78, 387 (2018)], and provides a strong universality test for the two lattice setups." } ], "imprints": [ { "date": "2022-03-14", "publisher": "APS" } ] }