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oai:docta.ucm.es:20.500.14352/1008792025-09-02T14:25:24Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense author Peset Martín, Clara María author Pineda, Antonio author Segovia, Jorge 2024-02-09T11:51:22Z 2024-02-09T11:51:22Z 2018 Peset, C., Pineda, A., & Segovia, J. (2018). P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy. Physical Review D, 98(9), 094003. 2470-0010 10.1103/PhysRevD.98.094003 https://hdl.handle.net/20.500.14352/100879 2470-0029 https://doi.org/10.1103/PhysRevD.98.094003 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. eng Attribution 4.0 International P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy journal article 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URL https://docta.ucm.es/bitstreams/d753af41-613e-441b-91e9-f1f30ff25164/download File MD5 827ef5ffbf3b3ba3925d0c9ed8ecf899 1019558 application/pdf PhysRevD.98.094003.pdf