Report/Journal Article

PUBDB-2017-05078

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png $M(\eta_{b})$ and $\alpha_{s}$ from nonrelativistic renormalization group

Kniehl, B. A.Extern* ; Penin, A. A. ; Pineda, A. ; Smirnov, V. A. ; Steinhauser, M.

2004
APS College Park, Md.

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Please use a persistent id in citations: doi:10.1103/PhysRevLett.92.242001  doi:10.3204/PUBDB-2017-05078

Report No.: DESY-03-172; TTP-03-40; UB-ECM-PF-03-28; hep-ph/0312086

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 $M(\eta_b)=9419 \pm 11 {(\rm th)} {}^{+9}_{-8} (\delta\alpha_s) MeV$. 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.

Keyword(s): quarkonium: heavy ; quarkonium: hyperfine structure ; renormalization group: nonrelativistic ; eta/b: mass ; strong interaction: coupling constant ; leading logarithm approximation: correction ; numerical calculations: interpretation of experiments

Note: Forschung Hochenergiephysik; Theoretische Physik

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF >= 5 ; JCR ; NCBI Molecular Biology Database ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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