Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks - INSPIRE

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Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks

Yasumichi Aoki
(
- KMI, Nagoya
)
,
Tomomi Ishikawa
(
- RIKEN BNL
)
,
Taku Izubuchi
(
- Brookhaven and
- RIKEN BNL
)
,
Christoph Lehner
(
- Brookhaven
)
,
Amarjit Soni
(
- Brookhaven
)

Jun 24, 2014

34 pages

Published in:

Phys.Rev.D 91 (2015) 11, 114505

Published: Jun 12, 2015

e-Print:

1406.6192 [hep-lat]

DOI:

10.1103/PhysRevD.91.114505

Report number:

RBRC-1080

View in:

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Abstract: (APS)

Neutral B meson mixing matrix elements and B meson decay constants are calculated. The static approximation is used for the b quark and the domain-wall fermion formalism is employed for light quarks. The calculations are carried out on 2+1-flavor dynamical ensembles generated by the RBC and UKQCD collaborations with lattice spacings of 0.086 fm (a-1∼2.3 GeV) and 0.11 fm (1.7 GeV), and a fixed physical spatial volume of about (2.7 fm)3. In the static quark action, link smearings are used to improve the signal-to-noise ratio. We employ two kinds of link smearings, HYP1 and HYP2, and their results are combined when taking the continuum limit. For the matching between the lattice and the continuum theory, one-loop perturbative O(a) improvements are made to reduce discretization errors. As the most important quantity of this work, we obtain the SU(3) breaking ratio ξ=1.208(60), where the error includes both the statistical and systematic errors. (The uncertainty from an infinite b-quark mass is not included.) We also find other neutral B meson mixing quantities, fBB^B=240(22) MeV, fBsB^Bs=290(22) MeV, B^B=1.17(22), B^Bs=1.22(13), and BBs/BB=1.028(74), and the B meson decay constants fB=219(17) MeV, fBs=264(19) MeV, and fBs/fB=1.193(41) in the static limit of the b quark, which do not include an infinite b-quark mass uncertainty.

Note:

33 pages, 18 figures, v3: published version

12.38.Gc
12.39.Hg
14.40.Nd
quantum chromodynamics: lattice
B0 anti-B0: mixing
B: decay constant
quark: static
approximation: static
quark: domain wall
numerical calculations

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