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B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks

B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
We calculate the B-meson decay constants fB, fBs, and their ratio in unquenched lattice QCD using domain-wall light quarks and relativistic b quarks. We use gauge-field ensembles generated by the RBC and UKQCD collaborations using the domain-wall fermion action and Iwasaki gauge action with three flavors of light dynamical quarks. We analyze data at two lattice spacings of a ~ 0.11, 0.086 fm with unitary pion masses as light as Mπ ~ 290 MeV; this enables us to control the extrapolation to the physical light-quark masses and continuum. For the b quarks we use the anisotropic clover action with the relativistic heavy-quark interpretation, such that discretization errors from the heavy-quark action are of the same size as from the light-quark sector. We renormalize the lattice heavy-light axial-vector current using a mostly nonperturbative method in which we compute the bulk of the matching factor nonperturbatively, with a small correction, that is close to unity, in lattice perturbation theory. We also improve the lattice heavy-light current through Osa). We extrapolate our results to the physical light-quark masses and continuum using SU(2) heavy-meson chiral perturbation theory, and provide a complete systematic error budget. We obtain fB0 = 199.5(12.6)  MeV, fB+ = 195.6(14.9)  MeV, fBs = 235.4(12.2)  MeV, fBs/fB0 = 1.197(50), and fBs/fB+ = 1.223(71), where the errors are statistical and total systematic added in quadrature. These results are in good agreement with other published results and provide an important independent cross-check of other three-flavor determinations of B-meson decay constants using staggered light quarks.
1550-7998
1-25
Christ, N.H.
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Flynn, J.M.
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Izubuchi, T.
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Kawanai, T.
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Lehner, C.
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Soni, A.
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Van de Water, R.S.
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Witzel, O.
ecd73780-db26-4863-9072-43cfc78a7a12
Christ, N.H.
bca5b070-bac5-4160-b12c-826a608a12b4
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Izubuchi, T.
4ee5b26a-e913-4a6b-8a2f-80159b3219b2
Kawanai, T.
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Lehner, C.
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Soni, A.
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Van de Water, R.S.
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Witzel, O.
ecd73780-db26-4863-9072-43cfc78a7a12

Christ, N.H., Flynn, J.M., Izubuchi, T., Kawanai, T., Lehner, C., Soni, A., Van de Water, R.S. and Witzel, O. (2015) B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks. Physical Review D, 91 (5), 1-25. (doi:10.1103/PhysRevD.91.054502).

Record type: Article

Abstract

We calculate the B-meson decay constants fB, fBs, and their ratio in unquenched lattice QCD using domain-wall light quarks and relativistic b quarks. We use gauge-field ensembles generated by the RBC and UKQCD collaborations using the domain-wall fermion action and Iwasaki gauge action with three flavors of light dynamical quarks. We analyze data at two lattice spacings of a ~ 0.11, 0.086 fm with unitary pion masses as light as Mπ ~ 290 MeV; this enables us to control the extrapolation to the physical light-quark masses and continuum. For the b quarks we use the anisotropic clover action with the relativistic heavy-quark interpretation, such that discretization errors from the heavy-quark action are of the same size as from the light-quark sector. We renormalize the lattice heavy-light axial-vector current using a mostly nonperturbative method in which we compute the bulk of the matching factor nonperturbatively, with a small correction, that is close to unity, in lattice perturbation theory. We also improve the lattice heavy-light current through Osa). We extrapolate our results to the physical light-quark masses and continuum using SU(2) heavy-meson chiral perturbation theory, and provide a complete systematic error budget. We obtain fB0 = 199.5(12.6)  MeV, fB+ = 195.6(14.9)  MeV, fBs = 235.4(12.2)  MeV, fBs/fB0 = 1.197(50), and fBs/fB+ = 1.223(71), where the errors are statistical and total systematic added in quadrature. These results are in good agreement with other published results and provide an important independent cross-check of other three-flavor determinations of B-meson decay constants using staggered light quarks.

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Accepted/In Press date: 10 March 2015
Published date: 10 March 2015
Organisations: Theoretical Partical Physics Group

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Local EPrints ID: 401294
URI: https://eprints.soton.ac.uk/id/eprint/401294
ISSN: 1550-7998
PURE UUID: 86256f86-277e-4ca2-9c0d-7bc0ab67aaa8
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

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Date deposited: 11 Oct 2016 15:24
Last modified: 10 Jul 2018 00:36

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Contributors

Author: N.H. Christ
Author: J.M. Flynn ORCID iD
Author: T. Izubuchi
Author: T. Kawanai
Author: C. Lehner
Author: A. Soni
Author: R.S. Van de Water
Author: O. Witzel

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