Higher-order condensate corrections to ϒ masses, leptonic decay rates and sum rules
Abstract With the recent completion of NNNLO results, the perturbative description of the ϒ system has reached a very high level of sophistication. We consider the non-perturbative corrections as an expansion in terms of local condensates, following the approach pioneered by Voloshin and Leutwyler....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2018)201 |
| _version_ | 1828532713571745792 |
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| author | T. Rauh |
| author_facet | T. Rauh |
| author_sort | T. Rauh |
| collection | DOAJ |
| description | Abstract With the recent completion of NNNLO results, the perturbative description of the ϒ system has reached a very high level of sophistication. We consider the non-perturbative corrections as an expansion in terms of local condensates, following the approach pioneered by Voloshin and Leutwyler. The leading order corrections up to dimension eight and the potential NLO corrections at dimension four are computed and given in analytical form. We then study the convergence of the expansion for the masses, the leptonic decay rates and the non-relativistic moments of the ϒ system. We demonstrate that the condensate corrections to the ϒ(1S) mass exhibit a region with good convergence, which allows us to extract m¯bm¯b=4214±37pert.−22+20non−pert. $$ {\overline{m}}_b\left({\overline{m}}_b\right)=4214\pm 37\ {\left(\mathrm{pert}.\right)}_{-22}^{+20}\left(\mathrm{n}\mathrm{o}\mathrm{n}-\mathrm{pert}.\right) $$ MeV, and show that non-perturbative contributions to the moments with n ≈ 10 are negligible. |
| first_indexed | 2024-12-11T22:57:06Z |
| format | Article |
| id | doaj.art-6cb7a045136a4cdeb7fec5cbd74e22fc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T22:57:06Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6cb7a045136a4cdeb7fec5cbd74e22fc2022-12-22T00:47:11ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018513110.1007/JHEP05(2018)201Higher-order condensate corrections to ϒ masses, leptonic decay rates and sum rulesT. Rauh0IPPP, Department of Physics, University of DurhamAbstract With the recent completion of NNNLO results, the perturbative description of the ϒ system has reached a very high level of sophistication. We consider the non-perturbative corrections as an expansion in terms of local condensates, following the approach pioneered by Voloshin and Leutwyler. The leading order corrections up to dimension eight and the potential NLO corrections at dimension four are computed and given in analytical form. We then study the convergence of the expansion for the masses, the leptonic decay rates and the non-relativistic moments of the ϒ system. We demonstrate that the condensate corrections to the ϒ(1S) mass exhibit a region with good convergence, which allows us to extract m¯bm¯b=4214±37pert.−22+20non−pert. $$ {\overline{m}}_b\left({\overline{m}}_b\right)=4214\pm 37\ {\left(\mathrm{pert}.\right)}_{-22}^{+20}\left(\mathrm{n}\mathrm{o}\mathrm{n}-\mathrm{pert}.\right) $$ MeV, and show that non-perturbative contributions to the moments with n ≈ 10 are negligible.http://link.springer.com/article/10.1007/JHEP05(2018)201Effective Field TheoriesHeavy Quark PhysicsNonperturbative EffectsQuark Masses and SM Parameters |
| spellingShingle | T. Rauh Higher-order condensate corrections to ϒ masses, leptonic decay rates and sum rules Journal of High Energy Physics Effective Field Theories Heavy Quark Physics Nonperturbative Effects Quark Masses and SM Parameters |
| title | Higher-order condensate corrections to ϒ masses, leptonic decay rates and sum rules |
| title_full | Higher-order condensate corrections to ϒ masses, leptonic decay rates and sum rules |
| title_fullStr | Higher-order condensate corrections to ϒ masses, leptonic decay rates and sum rules |
| title_full_unstemmed | Higher-order condensate corrections to ϒ masses, leptonic decay rates and sum rules |
| title_short | Higher-order condensate corrections to ϒ masses, leptonic decay rates and sum rules |
| title_sort | higher order condensate corrections to ϒ masses leptonic decay rates and sum rules |
| topic | Effective Field Theories Heavy Quark Physics Nonperturbative Effects Quark Masses and SM Parameters |
| url | http://link.springer.com/article/10.1007/JHEP05(2018)201 |
| work_keys_str_mv | AT trauh higherordercondensatecorrectionstoymassesleptonicdecayratesandsumrules |