Phys. Rev. Lett. 92, 242001 (2004) [4 pages]Mass of the ηb and αs from the Nonrelativistic Renormalization GroupSee Also: Erratum Received 5 December 2003; published 15 June 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.242001
DOI:
10.1103/PhysRevLett.92.242001
PACS:
12.38.Bx, 12.38.Cy, 14.40.Gx, 14.65.Fy
See AlsoErratum: Bernd A. Kniehl, Alexander A. Penin, Antonio Pineda, Vladimir A. Smirnov, and Matthias Steinhauser, Erratum: Mass of the ηb and αs from the Nonrelativistic Renormalization Group [Phys. Rev. Lett. 92, 242001 (2004)], Phys. Rev. Lett. 104, 199901 (2010). |
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