P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
We compute the heavy quarkonium mass of l≠0 (angular momentum) states, with otherwise arbitrary quantum numbers, with next-next-to-next-to-leading logarithmic (N3LL) accuracy. This constitutes the first observable in heavy quarkonium for which two orders of the weak-coupling expansion sensitive to t...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/100879 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/100879 |
| Access Level: | acceso abierto |
| Palabra clave: | 53 Hyperfine splitting Sperturbative QCD Potential NRQCD Física (Física) 2290 Física Altas Energías |
| Sumario: | We compute the heavy quarkonium mass of l≠0 (angular momentum) states, with otherwise arbitrary quantum numbers, with next-next-to-next-to-leading logarithmic (N3LL) accuracy. This constitutes the first observable in heavy quarkonium for which two orders of the weak-coupling expansion sensitive to the ultrasoft scale are known and the resummation of ultrasoft logarithms is made. We also obtain, for the first time, resummed N3LL expressions for the different fine and hyperfine energy splittings of these states, which are not sensitive to the ultrasoft scale but still require resummation of (hard) logarithms. We do this analysis for the equal and non-equal mass cases. We also study an alternative computational scheme that treats the static potential exactly. We then perform a comprehensive phenomenological analysis: we apply these results to the n=2, l=1 bottomonium, Bc and charmonium systems and study their convergence. |
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