The QCD up- and down-quark masses are determined from an optimized QCD Finite Energy Sum Rule (FESR) involving the correlator of axial-vector current divergences. In the QCD sector this correlator is known to five loop order in perturbative QCD (PQCD), together with non-perturbative corrections from the quark and gluon condensates. This FESR is designed to reduce considerably the systematic uncertainties arising from the hadronic spectral function. The determination is done in the framework of both fixed order and contour improved perturbation theory. Results from the latter, involving far less systematic uncertainties, are: $$ {\overline{m}}_u\left(2\ \mathrm{GeV}\right)=\left(2.6\pm 0.4\right) $$ MeV, $$ {\overline{m}}_d\left(2\ \mathrm{GeV}\right)=\left(5.3\pm 0.4\right) $$ MeV, and the sum $$ {\overline{m}}_{ud}\equiv \left({\overline{m}}_u+{\overline{m}}_d\right)/2 $$ , is $$ {\overline{m}}_{ud}\left(2\ \mathrm{GeV}\right)=\left(3.9\pm 0.3\right) $$ MeV.
{ "_oai": { "updated": "2019-05-07T19:28:00Z", "id": "oai:repo.scoap3.org:45529", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "South Africa", "value": "Centre for Theoretical and Mathematical Physics and Department of Physics, University of Cape Town, Rondebosch, 7700, South Africa", "organization": "University of Cape Town" } ], "surname": "Dominguez", "email": "cesareo.dominguez@uct.ac.za", "full_name": "Dominguez, C.", "given_names": "C." }, { "affiliations": [ { "country": "South Africa", "value": "Centre for Theoretical and Mathematical Physics and Department of Physics, University of Cape Town, Rondebosch, 7700, South Africa", "organization": "University of Cape Town" } ], "surname": "Mes", "email": "alexesmes1995@gmail.com", "full_name": "Mes, A.", "given_names": "A." }, { "affiliations": [ { "country": "South Africa", "value": "Centre for Theoretical and Mathematical Physics and Department of Physics, University of Cape Town, Rondebosch, 7700, South Africa", "organization": "University of Cape Town" }, { "country": "Germany", "value": "Institut f\u00fcr Physik, Johannes Gutenberg-Universit\u00e4t, Staudingerweg 7, Mainz, D-55099, Germany", "organization": "Johannes Gutenberg-Universit\u00e4t" } ], "surname": "Schilcher", "email": "Karl.Schilcher@uni-mainz.de", "full_name": "Schilcher, K.", "given_names": "K." } ], "titles": [ { "source": "Springer", "title": "Up- and down-quark masses from QCD sum rules" } ], "dois": [ { "value": "10.1007/JHEP02(2019)057" } ], "publication_info": [ { "page_end": "14", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2019", "artid": "JHEP022019057", "year": 2019, "page_start": "1", "journal_issue": "2" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2019-05-07T20:33:09.079147", "source": "Springer", "method": "Springer", "submission_number": "231186de70f611e9a30102163e01809a" }, "page_nr": [ 14 ], "license": [ { "url": "https://creativecommons.org/licenses/by/3.0", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2019" } ], "control_number": "45529", "record_creation_date": "2019-02-12T10:30:27.105223", "_files": [ { "checksum": "md5:924e95e13b893a95941124cfbe26fbaa", "filetype": "xml", "bucket": "f6331d07-06d2-439f-a30d-e81226df7bdf", "version_id": "deac2910-48b9-4984-aaca-8870c25f4126", "key": "10.1007/JHEP02(2019)057.xml", "size": 17833 }, { "checksum": "md5:bf669de357876024b5f9ae6176dc5dc5", "filetype": "pdf/a", "bucket": "f6331d07-06d2-439f-a30d-e81226df7bdf", "version_id": "abaf5cc2-6d7c-4d34-8973-9bed3808fc70", "key": "10.1007/JHEP02(2019)057_a.pdf", "size": 372535 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-lat" ], "value": "1809.07042" } ], "abstracts": [ { "source": "Springer", "value": "The QCD up- and down-quark masses are determined from an optimized QCD Finite Energy Sum Rule (FESR) involving the correlator of axial-vector current divergences. In the QCD sector this correlator is known to five loop order in perturbative QCD (PQCD), together with non-perturbative corrections from the quark and gluon condensates. This FESR is designed to reduce considerably the systematic uncertainties arising from the hadronic spectral function. The determination is done in the framework of both fixed order and contour improved perturbation theory. Results from the latter, involving far less systematic uncertainties, are: <math> <msub> <mover> <mi>m</mi> <mo>\u00af</mo> </mover> <mi>u</mi> </msub> <mfenced> <mrow> <mn>2</mn> <mspace width=\"0.25em\"></mspace> <mi>GeV</mi> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>2.6</mn> <mo>\u00b1</mo> <mn>0.4</mn> </mrow> </mfenced> </math> $$ {\\overline{m}}_u\\left(2\\ \\mathrm{GeV}\\right)=\\left(2.6\\pm 0.4\\right) $$ MeV, <math> <msub> <mover> <mi>m</mi> <mo>\u00af</mo> </mover> <mi>d</mi> </msub> <mfenced> <mrow> <mn>2</mn> <mspace width=\"0.25em\"></mspace> <mi>GeV</mi> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>5.3</mn> <mo>\u00b1</mo> <mn>0.4</mn> </mrow> </mfenced> </math> $$ {\\overline{m}}_d\\left(2\\ \\mathrm{GeV}\\right)=\\left(5.3\\pm 0.4\\right) $$ MeV, and the sum <math> <msub> <mover> <mi>m</mi> <mo>\u00af</mo> </mover> <mrow> <mi>u</mi> <mi>d</mi> </mrow> </msub> <mtext>\u2261</mtext> <mfenced> <mrow> <msub> <mover> <mi>m</mi> <mo>\u00af</mo> </mover> <mi>u</mi> </msub> <mo>+</mo> <msub> <mover> <mi>m</mi> <mo>\u00af</mo> </mover> <mi>d</mi> </msub> </mrow> </mfenced> <mo>/</mo> <mn>2</mn> </math> $$ {\\overline{m}}_{ud}\\equiv \\left({\\overline{m}}_u+{\\overline{m}}_d\\right)/2 $$ , is <math> <msub> <mover> <mi>m</mi> <mo>\u00af</mo> </mover> <mrow> <mi>u</mi> <mi>d</mi> </mrow> </msub> <mfenced> <mrow> <mn>2</mn> <mspace width=\"0.25em\"></mspace> <mi>GeV</mi> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>3.9</mn> <mo>\u00b1</mo> <mn>0.3</mn> </mrow> </mfenced> </math> $$ {\\overline{m}}_{ud}\\left(2\\ \\mathrm{GeV}\\right)=\\left(3.9\\pm 0.3\\right) $$ MeV." } ], "imprints": [ { "date": "2019-02-11", "publisher": "Springer" } ] }