Up- and down-quark masses from QCD sum rules
Abstract 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 correct...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2019)057 |
| _version_ | 1811208964027711488 |
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| author | C. A. Dominguez A. Mes K. Schilcher |
| author_facet | C. A. Dominguez A. Mes K. Schilcher |
| author_sort | C. A. Dominguez |
| collection | DOAJ |
| description | Abstract 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: m ¯ u 2 GeV = 2.6 ± 0.4 $$ {\overline{m}}_u\left(2\ \mathrm{GeV}\right)=\left(2.6\pm 0.4\right) $$ MeV, m ¯ d 2 GeV = 5.3 ± 0.4 $$ {\overline{m}}_d\left(2\ \mathrm{GeV}\right)=\left(5.3\pm 0.4\right) $$ MeV, and the sum m ¯ u d ≡ m ¯ u + m ¯ d / 2 $$ {\overline{m}}_{ud}\equiv \left({\overline{m}}_u+{\overline{m}}_d\right)/2 $$ , is m ¯ u d 2 GeV = 3.9 ± 0.3 $$ {\overline{m}}_{ud}\left(2\ \mathrm{GeV}\right)=\left(3.9\pm 0.3\right) $$ MeV. |
| first_indexed | 2024-04-12T04:31:59Z |
| format | Article |
| id | doaj.art-07ee9faf6bb4445795a2ded7b04abded |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T04:31:59Z |
| publishDate | 2019-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-07ee9faf6bb4445795a2ded7b04abded2022-12-22T03:47:55ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019211410.1007/JHEP02(2019)057Up- and down-quark masses from QCD sum rulesC. A. Dominguez0A. Mes1K. Schilcher2Centre for Theoretical and Mathematical Physics and Department of Physics, University of Cape TownCentre for Theoretical and Mathematical Physics and Department of Physics, University of Cape TownCentre for Theoretical and Mathematical Physics and Department of Physics, University of Cape TownAbstract 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: m ¯ u 2 GeV = 2.6 ± 0.4 $$ {\overline{m}}_u\left(2\ \mathrm{GeV}\right)=\left(2.6\pm 0.4\right) $$ MeV, m ¯ d 2 GeV = 5.3 ± 0.4 $$ {\overline{m}}_d\left(2\ \mathrm{GeV}\right)=\left(5.3\pm 0.4\right) $$ MeV, and the sum m ¯ u d ≡ m ¯ u + m ¯ d / 2 $$ {\overline{m}}_{ud}\equiv \left({\overline{m}}_u+{\overline{m}}_d\right)/2 $$ , is m ¯ u d 2 GeV = 3.9 ± 0.3 $$ {\overline{m}}_{ud}\left(2\ \mathrm{GeV}\right)=\left(3.9\pm 0.3\right) $$ MeV.http://link.springer.com/article/10.1007/JHEP02(2019)057QCD Phenomenology |
| spellingShingle | C. A. Dominguez A. Mes K. Schilcher Up- and down-quark masses from QCD sum rules Journal of High Energy Physics QCD Phenomenology |
| title | Up- and down-quark masses from QCD sum rules |
| title_full | Up- and down-quark masses from QCD sum rules |
| title_fullStr | Up- and down-quark masses from QCD sum rules |
| title_full_unstemmed | Up- and down-quark masses from QCD sum rules |
| title_short | Up- and down-quark masses from QCD sum rules |
| title_sort | up and down quark masses from qcd sum rules |
| topic | QCD Phenomenology |
| url | http://link.springer.com/article/10.1007/JHEP02(2019)057 |
| work_keys_str_mv | AT cadominguez upanddownquarkmassesfromqcdsumrules AT ames upanddownquarkmassesfromqcdsumrules AT kschilcher upanddownquarkmassesfromqcdsumrules |