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

Christ, Norman H.; Flynn, Jonathan M.; Izubuchi, Taku; Kawanai, Taichi; Lehner, Christoph; Soni, Amarjit; Van de Water, Ruth S.; Witzel, Oliver

doi:10.1103/PhysRevD.91.054502

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

Journal Article · Tue Mar 10 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.91.054502· OSTI ID:1155866

Christ, Norman H. ^[1]; Flynn, Jonathan M. ^[2]; Izubuchi, Taku ^[3]; Kawanai, Taichi ^[4]; Lehner, Christoph ^[3]; Soni, Amarjit ^[3]; Van de Water, Ruth S. ^[5]; Witzel, Oliver ^[6]

Columbia Univ., New York, NY (United States)
Univ. of Southampton, Southampton (United Kingdom)
Brookhaven National Lab. (BNL), Upton, NY (United States)
RIKEN, Wako (Japan); Brookhaven National Lab. (BNL), Upton, NY (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Boston Univ., Boston, MA (United States)

We calculate the B-meson decay constants f_B, f_Bs, 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 M_π ≈ 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 O(α_sa). 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 f_B⁰ = 196.2(15.7) MeV, f_B⁺ = 195.4(15.8) MeV, f_{B_s} = 235.4(12.2) MeV, f_{B_s}/f_B⁰ = 1.193(59), and f_{B_s}/f_B⁺ = 1.220(82), where the errors are statistical and total systematic added in quadrature. In addition, 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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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

DOE Contract Number:: AC02-07CH11359

OSTI ID:: 1155866

Report Number(s):: FERMILAB-PUB-14-100-T; arXiv eprint number arXiv:1404.4670

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 91, Issue 5; ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

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$B_{(s)}^{0}$ -mixing matrix elements from lattice QCD for the Standard Model and beyond Bazavov, A.; Bernard, C.; Bouchard, C. M. Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/physrevd.93.113016	journal	June 2016
Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG) Aoki, S.; Aoki, Y.; Bečirević, D. The European Physical Journal C, Vol. 77, Issue 2 https://doi.org/10.1140/epjc/s10052-016-4509-7	journal	February 2017
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FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) Aoki, S.; Aoki, Y.; Bečirević, D. The European Physical Journal C, Vol. 80, Issue 2 https://doi.org/10.1140/epjc/s10052-019-7354-7	journal	February 2020
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FLAG Review 2019 Aoki, S.; Aoki, Y.; Bečirević, D. Springer https://doi.org/10.7892/boris.141201	text	January 2020
FLAG Review 2019 Aoki, S.; Aoki, Y.; Becirevic, D. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-04064	text	January 2020
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