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

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

Journal Article · Tue Mar 10 04:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.91.054502· OSTI ID:1289771

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_{B_s}, 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 = 199.5(12.6) MeV, f_B⁺=195.6(14.9) MeV, f_{B_s}=235.4(12.2) MeV, f_{B_s}/f_B⁰=1.197(50), and f_{B_s}/f_B⁺=1.223(71), where the errors are statistical and total systematic added in quadrature. Finally, 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.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Contributing Organization:: RBC and UKQCD Collaborations

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1289771

Alternate ID(s):: OSTI ID: 1155866
OSTI ID: 1181051

Report Number(s):: FERMILAB-PUB--14-100-T; arXiv:1404.4670; 1291284

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the ϕ meson Chakraborty, Bipasha; Davies, C. T. H.; Donald, G. C. Physical Review D, Vol. 96, Issue 7 https://doi.org/10.1103/physrevd.96.074502	journal	October 2017
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