High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD - INSPIRE

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High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD

C. McNeile
(
- Glasgow U.
)
,
C.T.H. Davies
(
- Glasgow U.
)
,
E. Follana
(
- Zaragoza U.
)
,
K. Hornbostel
(
- Southern Methodist U.
)
,
G.P. Lepage
(
- Cornell U., LEPP
)

Oct, 2011

5 pages

Published in:

Phys.Rev.D 85 (2012) 031503

e-Print:

1110.4510 [hep-lat]

DOI:

10.1103/PhysRevD.85.031503

View in:

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Abstract: (arXiv)

We present a new determination of the

B_s

leptonic decay constant from lattice QCD simulations that use gluon configurations from MILC and a highly improved discretization of the relativistic quark action for both valence quarks. Our result,

f_{B_s} = 0.225(4)

\,GeV, is almost three times more accurate than previous determinations. We analyze the dependence of the decay constant on the heavy quark's mass and obtain the first empirical evidence for the leading

1/\sqrt{m_h}

dependence predicted by Heavy Quark Effective Theory (HQET). As a check, we use our analysis technique to calculate the

m_{B_s}-m_{\eta_b}/2

mass difference. Our result agrees with experiment to within errors of

11\,\mathrm{MeV}

(better than 2%). We discuss how to extend our analysis to other quantities in

B_s

and

B

physics, making 2%-precision possible for the first time.

Note:

5 pages, 3 figures

12.38.Gc
12.38.Aw
11.15.Ha
quantum chromodynamics: nonrelativistic
B/s: leptonic decay
B/s: decay constant
Heavy Quark Effective Theory
mass difference: (B/s eta/b)
numerical calculations: Monte Carlo

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Figures(4)

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)
,
C.T.H. Davies
(
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)
,
E. Follana
(
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)
,
K. Hornbostel
(
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)
,
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)

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C.T.H. Davies
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)
,
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(
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)
,
E. Follana
(
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)
,
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(
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)
,
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)

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Heechang Na
(
- Ohio State U.
)
,
Christine T.H. Davies
(
- Glasgow U.
)
,
Eduardo Follana
(
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)
,
G.Peter Lepage
(
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)
,
Junko Shigemitsu
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)

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•
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Precise $B, B_s$ and $B_c$ meson spectroscopy from full lattice QCD

Eric B. Gregory
(
- Glasgow U. and
- Cyprus U.
)
,
Christine T.H. Davies
(
- Glasgow U.
)
,
Iain D. Kendall
(
- Glasgow U.
)
,
Jonna Koponen
(
- Glasgow U.
)
,
Kit Wong
(
- Glasgow U.
)

et al.

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•
DOI:
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SciDAC and
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(
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)

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