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24 April 2024 |
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$M(eta_b)$ and $alpha_s$ from Nonrelativistic Renormalization Group | | B.A. Kniehl
; A.A. Penin
; A. Pineda
; V.A. Smirnov
; M. Steinhauser
; | | Date: |
5 Dec 2003 | | Journal: | Phys.Rev.Lett. 92 (2004) 242001 | | Subject: | hep-ph hep-ex hep-lat | | 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 $eta_b$ meson to be $M(eta_b)=9421 pm 10 {(
m th)} {}^{+9}_{-8} (deltaalpha_s) MeV$. The experimental measurement of $M(eta_b)$ with a few MeV error would be sufficient to determine $alpha_s(M_Z)$ with an accuracy of $pm 0.003$. The use of the nonrelativistic renormalization group is mandatory to reproduce the experimental value of the hyperfine splitting in charmonium. | | Source: | arXiv, hep-ph/0312086 | | Services: | Forum | Review | PDF | Favorites | |
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