RT Journal Article
T1 P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
A1 Peset Martín, Clara María
A1 Pineda, Antonio
A1 Segovia, Jorge
AB 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.
PB American Physical Society
SN 2470-0010
YR 2018
FD 2018-11-08
LK https://hdl.handle.net/20.500.14352/100879
UL https://hdl.handle.net/20.500.14352/100879
LA eng
NO 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.
NO Ministerio de Economía y Competitividad (España)
NO Marie Curie Actions
NO Unión Europea
DS Docta Complutense
RD 7 abr 2025