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Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks

Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks
Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks
We demonstrate a method for calculating the neutral B-meson decay constants and mixing matrix elements in unquenched lattice QCD with domain-wall light quarks and static b-quarks. Our computation is performed on the "2+1" flavor gauge configurations generated by the RBC and UKQCD Collaborations with a lattice spacing of a approx 0.11 fm (a-1 = 1.729 GeV) and a lattice spatial volume of approximately (1.8 fm)3. We simulate at three different light sea quark masses with pion masses down to approximately 430 MeV, and extrapolate to the physical quark masses using a phenomenologically-motivated fit function based on next-to-leading order heavy-light meson SU(2) chiral perturbation theory. For the b-quarks, we use an improved formulation of the Eichten-Hill action with static link-smearing to increase the signal-to-noise ratio. We also improve the heavy-light axial current used to compute the B-meson decay constant to Os p a) using one-loop lattice perturbation theory. We present initial results for the SU(3)-breaking ratios fBs/fBd and ξ = fBsBBs /fBd BBd, thereby demonstrating the viability of the method. For the ratio of decay constants, we find fBs/fBd = 1.15(12) and for the ratio of mixing matrix elements, we find ξ = 1.13(12), where in both cases the errors reflect the combined statistical and systematic uncertainties, including an estimate of the size of neglected O(1/mb) effects.
1-60
Albertus, Conrado
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Aoki, Yasumichi
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Boyle, Peter A.
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Christ, Norman H.
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Dumitrescu, Thomas T.
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Flynn, Jonathan M.
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Ishikawa, Tomomi
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Izubuchi, Taku
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Loktik, Oleg
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Sachrajda, Christopher T.
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Soni, Amarjit
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Van de Water, Ruth S.
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Wennekers, Jan
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Witzel, Oliver
ceb5d2c8-8f0a-46f4-977e-7d45c6b06b82
Albertus, Conrado
b55fb8b8-08f8-4ac4-abda-e0e6193246ba
Aoki, Yasumichi
8d23e427-1114-425a-93a8-3559cec9bab3
Boyle, Peter A.
78a2aebf-aea7-4925-b5df-ead4b4da6fb2
Christ, Norman H.
8fdea364-b83b-4aef-8282-c02a48689d37
Dumitrescu, Thomas T.
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Flynn, Jonathan M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Ishikawa, Tomomi
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Izubuchi, Taku
777b2caf-5063-400b-8f28-864e57938e54
Loktik, Oleg
ea8e4b6c-85ba-42c3-beec-d8c5f3c32b88
Sachrajda, Christopher T.
3189c224-ec39-4562-96fa-2b3df5e78d54
Soni, Amarjit
1d4d3e39-9bc6-4861-8ced-fca957e79dfa
Van de Water, Ruth S.
79c1b34c-e7a8-443d-b23c-75463b2141a4
Wennekers, Jan
bdd949cc-d871-4b8a-b994-ddd466275f97
Witzel, Oliver
ceb5d2c8-8f0a-46f4-977e-7d45c6b06b82

Albertus, Conrado, Aoki, Yasumichi, Boyle, Peter A., Christ, Norman H., Dumitrescu, Thomas T., Flynn, Jonathan M., Ishikawa, Tomomi, Izubuchi, Taku, Loktik, Oleg, Sachrajda, Christopher T., Soni, Amarjit, Van de Water, Ruth S., Wennekers, Jan and Witzel, Oliver (2010) Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks. Preprint, 1-60.

Record type: Article

Abstract

We demonstrate a method for calculating the neutral B-meson decay constants and mixing matrix elements in unquenched lattice QCD with domain-wall light quarks and static b-quarks. Our computation is performed on the "2+1" flavor gauge configurations generated by the RBC and UKQCD Collaborations with a lattice spacing of a approx 0.11 fm (a-1 = 1.729 GeV) and a lattice spatial volume of approximately (1.8 fm)3. We simulate at three different light sea quark masses with pion masses down to approximately 430 MeV, and extrapolate to the physical quark masses using a phenomenologically-motivated fit function based on next-to-leading order heavy-light meson SU(2) chiral perturbation theory. For the b-quarks, we use an improved formulation of the Eichten-Hill action with static link-smearing to increase the signal-to-noise ratio. We also improve the heavy-light axial current used to compute the B-meson decay constant to Os p a) using one-loop lattice perturbation theory. We present initial results for the SU(3)-breaking ratios fBs/fBd and ξ = fBsBBs /fBd BBd, thereby demonstrating the viability of the method. For the ratio of decay constants, we find fBs/fBd = 1.15(12) and for the ratio of mixing matrix elements, we find ξ = 1.13(12), where in both cases the errors reflect the combined statistical and systematic uncertainties, including an estimate of the size of neglected O(1/mb) effects.

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Published date: 12 January 2010

Identifiers

Local EPrints ID: 143999
URI: https://eprints.soton.ac.uk/id/eprint/143999
PURE UUID: 71e97174-ec79-43d1-9da6-392a0449c5bd
ORCID for Jonathan M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

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Date deposited: 14 Apr 2010 13:03
Last modified: 31 Jul 2018 00:36

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Contributors

Author: Conrado Albertus
Author: Yasumichi Aoki
Author: Peter A. Boyle
Author: Norman H. Christ
Author: Thomas T. Dumitrescu
Author: Tomomi Ishikawa
Author: Taku Izubuchi
Author: Oleg Loktik
Author: Christopher T. Sachrajda
Author: Amarjit Soni
Author: Ruth S. Van de Water
Author: Jan Wennekers
Author: Oliver Witzel

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