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research
The
B
β
B
Ο
B^*B\pi
B
β
B
Ο
coupling with relativistic heavy quarks
Authors
J. M. Flynn
P. Fritzsch
+6Β more
T. Kawanai
C. Lehner
C. T. Sachrajda
B. Samways
R. S. Van de Water
O. Witzel
Publication date
10 November 2013
Publisher
View
on
arXiv
Abstract
We report on a calculation of the
B
β
B
Ο
B^*B\pi
B
β
B
Ο
coupling in lattice QCD. The strong matrix element
β¨
B
Ο
β£
B
β
β©
\langle B \pi | B^*\rangle
β¨
B
Ο
β£
B
β
β©
is directly related to the leading order low-energy constant in heavy meson chiral perturbation theory (HM
Ο
\chi
Ο
PT) for
B
B
B
-mesons. We carry out our calculation directly at the
b
b
b
-quark mass using a non-perturbatively tuned clover action that controls discretisation effects of order
β£
p
β
a
β£
|\vec{p}a|
β£
p
β
a
β£
and
(
m
a
)
n
(ma)^n
(
ma
)
n
for all
n
n
n
. Our analysis is performed on RBC/UKQCD gauge configurations using domain wall fermions and the Iwasaki gauge action at two lattice spacings of
a
β
1
=
1.73
(
3
)
a^{-1}=1.73(3)
a
β
1
=
1.73
(
3
)
GeV,
a
β
1
=
2.28
(
3
)
a^{-1}=2.28(3)
a
β
1
=
2.28
(
3
)
GeV, and unitary pion masses down to 290 MeV. We achieve good statistical precision and control all systematic uncertainties, giving a final result for the HM
Ο
\chi
Ο
PT coupling
g
b
=
0.569
(
48
)
s
t
a
t
(
59
)
s
y
s
g_b = 0.569(48)_{stat}(59)_{sys}
g
b
β
=
0.569
(
48
)
s
t
a
t
β
(
59
)
sys
β
in the continuum and at the physical light-quark masses. This is the first calculation performed directly at the physical
b
b
b
-quark mass and lies in the region one would expect from carrying out an interpolation between previous results at the charm mass and at the static point.Comment: 7 pages, 2 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, German
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Last time updated on 30/10/2017