We extract (for the first time) the correlated values of the running masses and from using QCD Laplace sum rules (LSR) within stability criteria where perturbative (PT) expressions at N2LO and non-perturbative (NP) gluon condensates at LO are included. Allowing the values of to move inside the enlarged range of recent estimates from charmonium and bottomium sum rules (Table 1) obtained using similar stability criteria, we deduce: MeV and MeV. Combined with previous estimates (Table 2), we deduce a tentative QCD Spectral Sum Rules (QSSR) average: MeV and MeV where the errors come from the precise determinations from and ϒ sum rules. As a result, we present an improved prediction of MeV and the tentative upper bound MeV, which are useful for a further analysis of -decays.
{ "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author", "statement": "The Author", "year": "2020" } ], "control_number": "51997", "_oai": { "updated": "2020-02-19T18:42:11Z", "id": "oai:repo.scoap3.org:51997", "sets": [ "PLB" ] }, "authors": [ { "affiliations": [ { "country": "France", "value": "Laboratoire Particules et Univers de Montpellier, CNRS-IN2P3, Case 070, Place Eug\u00e8ne Bataillon, 34095, Montpellier, France" } ], "surname": "Narison", "email": "snarison@yahoo.fr", "full_name": "Narison, Stephan", "given_names": "Stephan" } ], "_files": [ { "checksum": "md5:07d84c9d78e23ef2d03e6cfb5a17fbc2", "filetype": "xml", "bucket": "5887e23b-e93e-4ffc-a309-d3fb0a7114e4", "version_id": "fc252ca3-9674-473a-8439-3ac8626bc8db", "key": "10.1016/j.physletb.2020.135221.xml", "size": 295083 }, { "checksum": "md5:d86fd5c833c519daef789f5fa47a408d", "filetype": "pdf", "bucket": "5887e23b-e93e-4ffc-a309-d3fb0a7114e4", "version_id": "7ae47b42-042c-47f2-8216-987d06ff221b", "key": "10.1016/j.physletb.2020.135221.pdf", "size": 463152 }, { "checksum": "md5:2b6fb95db9df066d287248a609dca01b", "filetype": "pdf/a", "bucket": "5887e23b-e93e-4ffc-a309-d3fb0a7114e4", "version_id": "789893be-762b-4548-9ac6-d7b958f15b3a", "key": "10.1016/j.physletb.2020.135221_a.pdf", "size": 787436 } ], "record_creation_date": "2020-01-15T16:30:16.325829", "titles": [ { "source": "Elsevier", "title": "And From And Improved Estimates of And" } ], "collections": [ { "primary": "Physics Letters B" } ], "dois": [ { "value": "10.1016/j.physletb.2020.135221" } ], "publication_info": [ { "journal_volume": "802 C", "journal_title": "Physics Letters B", "material": "article", "artid": "135221", "year": 2020 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Elsevier", "value": "We extract (for the first time) the correlated values of the running masses <math><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>c</mi></mrow></msub></math> and <math><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>b</mi></mrow></msub></math> from <math><msub><mrow><mi>M</mi></mrow><mrow><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></msub></math> using QCD Laplace sum rules (LSR) within stability criteria where perturbative (PT) expressions at N2LO and non-perturbative (NP) gluon condensates at LO are included. Allowing the values of <math><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>c</mi><mo>,</mo><mi>b</mi></mrow></msub><mo>(</mo><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>c</mi><mo>,</mo><mi>b</mi></mrow></msub><mo>)</mo></math> to move inside the enlarged range of recent estimates from charmonium and bottomium sum rules (Table 1) obtained using similar stability criteria, we deduce: <math><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>)</mo><mo>=</mo><mn>1286</mn><mo>(</mo><mn>16</mn><mo>)</mo></math> MeV and <math><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>b</mi></mrow></msub><mo>(</mo><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>b</mi></mrow></msub><mo>)</mo><mo>=</mo><mn>4202</mn><mo>(</mo><mn>8</mn><mo>)</mo></math> MeV. Combined with previous estimates (Table 2), we deduce a tentative QCD Spectral Sum Rules (QSSR) average: <math><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>)</mo><mo>=</mo><mn>1266</mn><mo>(</mo><mn>6</mn><mo>)</mo></math> MeV and <math><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>b</mi></mrow></msub><mo>(</mo><msub><mrow><mover><mrow><mi>m</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mi>b</mi></mrow></msub><mo>)</mo><mo>=</mo><mn>4197</mn><mo>(</mo><mn>8</mn><mo>)</mo></math> MeV where the errors come from the precise determinations from <math><mi>J</mi><mo>/</mo><mi>\u03c8</mi></math> and \u03d2 sum rules. As a result, we present an improved prediction of <math><msub><mrow><mi>f</mi></mrow><mrow><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></msub><mo>=</mo><mn>371</mn><mo>(</mo><mn>17</mn><mo>)</mo></math> MeV and the tentative upper bound <math><msub><mrow><mi>f</mi></mrow><mrow><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2</mn><mi>S</mi><mo>)</mo></mrow></msub><mo>\u2264</mo><mn>139</mn><mo>(</mo><mn>6</mn><mo>)</mo></math> MeV, which are useful for a further analysis of <math><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow></msub></math>-decays." } ], "imprints": [ { "date": "2020-01-15", "publisher": "Elsevier" } ], "acquisition_source": { "date": "2020-02-19T19:30:35.679428", "source": "Elsevier", "method": "Elsevier", "submission_number": "d6534fa2534511eaad1402163e01809a" } }