Mass of the ηb and αs from the Nonrelativistic Renormalization Group -: art. no. 242001

BA Kniehl; AA Penin; A Pineda; VA Smirnov; M Steinhauser

doi:10.1103/PhysRevLett.92.242001

Mass of the ηb and αs from the Nonrelativistic Renormalization Group -: art. no. 242001

BA Kniehl, AA Penin, A Pineda, VA Smirnov, M Steinhauser

Universitat de Barcelona (UB)

Research output: Contribution to journal › Article › Research › peer-review

103 Citations (Scopus)

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+/-11(th)(-8)(+9)(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 +/-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.

Original language	English
Article number	242001
Number of pages	4
Journal	Physical review letters
Volume	92
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevLett.92.242001
Publication status	Published - 15 Jun 2004
Externally published	Yes

Keywords

To-leading order
Heavy-quarkonium spectrum
Rigorous qcd evaluation
Perturbative qcd
Near-threshold
Precision determination
Hyperfine splittings
Q(q)over-bar systems
B(b)over-bar system
Potential nrqcd

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10.1103/PhysRevLett.92.242001

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title = "Mass of the ηb and αs from the Nonrelativistic Renormalization Group -: art. no. 242001",

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+/-11(th)(-8)(+9)(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 +/-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.",

keywords = "To-leading order, Heavy-quarkonium spectrum, Rigorous qcd evaluation, Perturbative qcd, Near-threshold, Precision determination, Hyperfine splittings, Q(q)over-bar systems, B(b)over-bar system, Potential nrqcd",

author = "BA Kniehl and AA Penin and A Pineda and VA Smirnov and M Steinhauser",

year = "2004",

month = jun,

day = "15",

doi = "10.1103/PhysRevLett.92.242001",

language = "English",

volume = "92",

journal = "Physical review letters",

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publisher = "American Physical Society",

number = "24",

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TY - JOUR

T1 - Mass of the ηb and αs from the Nonrelativistic Renormalization Group -

T2 - art. no. 242001

AU - Kniehl, BA

AU - Penin, AA

AU - Pineda, A

AU - Smirnov, VA

AU - Steinhauser, M

PY - 2004/6/15

Y1 - 2004/6/15

N2 - 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+/-11(th)(-8)(+9)(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 +/-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.

AB - 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+/-11(th)(-8)(+9)(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 +/-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.

KW - To-leading order

KW - Heavy-quarkonium spectrum

KW - Rigorous qcd evaluation

KW - Perturbative qcd

KW - Near-threshold

KW - Precision determination

KW - Hyperfine splittings

KW - Q(q)over-bar systems

KW - B(b)over-bar system

KW - Potential nrqcd

U2 - 10.1103/PhysRevLett.92.242001

DO - 10.1103/PhysRevLett.92.242001

M3 - Article

C2 - 15245077

SN - 0031-9007

VL - 92

JO - Physical review letters

JF - Physical review letters

IS - 24

M1 - 242001

ER -

Mass of the η<sub>b</sub> and α<sub>s</sub> from the Nonrelativistic Renormalization Group -: art. no. 242001

Abstract

Keywords

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