Mass of the ηb and αs from the Nonrelativistic Renormalization Group

Bernd A. Kniehl, Alexander A. Penin, Antonio Pineda, Vladimir A. Smirnov, and Matthias Steinhauser
Phys. Rev. Lett. 92, 242001 – Published 15 June 2004; Erratum Phys. Rev. Lett. 104, 199901 (2010)

Abstract

We sum up the next-to-leading logarithmic corrections to the heavy-quarkonium hyperfine splitting, using the nonrelativistic renormalization group. On the basis of this result, we predict the mass of the ηb meson to be M(ηb)=9421±11(th)8+9(δαs)   MeV. The experimental measurement of M(ηb) with a few MeV error would be sufficient to determine αs(MZ) with an accuracy of ±0.003. For the hyperfine splitting in charmonium, the use of the nonrelativistic renormalization group brings the perturbative prediction significantly closer to the experimental figure.

  • Figure
  • Figure
  • Received 5 December 2003

DOI:https://doi.org/10.1103/PhysRevLett.92.242001

©2004 American Physical Society

Erratum

Erratum: Mass of the ηb and αs from the Nonrelativistic Renormalization Group [Phys. Rev. Lett. 92, 242001 (2004)]

Bernd A. Kniehl, Alexander A. Penin, Antonio Pineda, Vladimir A. Smirnov, and Matthias Steinhauser
Phys. Rev. Lett. 104, 199901 (2010)

Authors & Affiliations

Bernd A. Kniehl1, Alexander A. Penin2,3, Antonio Pineda4, Vladimir A. Smirnov5,1, and Matthias Steinhauser1

  • 1II. Institut für Theoretische Physik, Universität Hamburg, 22761 Hamburg, Germany
  • 2Institut für Theoretische Teilchenphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 3Institute for Nuclear Research, Russian Academy of Sciences, 117312 Moscow, Russia
  • 4Departamento d’Estructura i Constituents de la Matèria, Universidad Barcelona, E-08028 Barcelona, Spain
  • 5Institute for Nuclear Physics, Moscow State University, 119899 Moscow, Russia

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Issue

Vol. 92, Iss. 24 — 18 June 2004

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