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• W2893314532 abstract "We compute the heavy quarkonium mass of $lnot= 0$ (angular momentum) states, with otherwise arbitrary quantum numbers, with next-next-to-next-to-leading logarithmic (N$^3$LL) 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 N$^3$LL 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, $B_c$ and charmonium systems and study their convergence." @default.
• W2893314532 created "2018-10-05" @default.
• W2893314532 creator A5003340447 @default.
• W2893314532 creator A5033045952 @default.
• W2893314532 creator A5091647396 @default.
• W2893314532 date "2018-11-08" @default.
• W2893314532 modified "2023-10-06" @default.
• W2893314532 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:math> -wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy" @default.
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• W2893314532 doi "https://doi.org/10.1103/physrevd.98.094003" @default.
• W2893314532 hasPublicationYear "2018" @default.
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