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

Abstract

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 = 199.5(12.6)more » MeV, f B+=195.6(14.9) MeV, f Bs=235.4(12.2) MeV, f Bs/f B0=1.197(50), and f Bs/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.« less

Authors:
 [1];  [2];  [3];  [4];  [3];  [3];  [5];  [6]
  1. Columbia Univ., New York, NY (United States)
  2. Univ. of Southampton, Southampton (United Kingdom)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
  4. RIKEN, Wako (Japan); Brookhaven National Lab. (BNL), Upton, NY (United States)
  5. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  6. Boston Univ., Boston, MA (United States)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Org.:
RBC and UKQCD Collaborations
OSTI Identifier:
1289771
Alternate Identifier(s):
OSTI ID: 1181051
Report Number(s):
FERMILAB-PUB-14-100-T; arXiv:1404.4670
Journal ID: ISSN 1550-7998; PRVDAQ; 1291284
Grant/Contract Number:  
AC02-07CH11359; FG02-92ER40699; SC0008814
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 5; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Christ, Norman H., Flynn, Jonathan M., Izubuchi, Taku, Kawanai, Taichi, Lehner, Christoph, Soni, Amarjit, Van de Water, Ruth S., and Witzel, Oliver. B -meson decay constants from 2+1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.054502.
Christ, Norman H., Flynn, Jonathan M., Izubuchi, Taku, Kawanai, Taichi, Lehner, Christoph, Soni, Amarjit, Van de Water, Ruth S., & Witzel, Oliver. B -meson decay constants from 2+1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks. United States. doi:10.1103/PhysRevD.91.054502.
Christ, Norman H., Flynn, Jonathan M., Izubuchi, Taku, Kawanai, Taichi, Lehner, Christoph, Soni, Amarjit, Van de Water, Ruth S., and Witzel, Oliver. Tue . "B -meson decay constants from 2+1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks". United States. doi:10.1103/PhysRevD.91.054502. https://www.osti.gov/servlets/purl/1289771.
@article{osti_1289771,
title = {B -meson decay constants from 2+1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks},
author = {Christ, Norman H. and Flynn, Jonathan M. and Izubuchi, Taku and Kawanai, Taichi and Lehner, Christoph and Soni, Amarjit and Van de Water, Ruth S. and Witzel, Oliver},
abstractNote = {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 O(αsa). 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. 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.},
doi = {10.1103/PhysRevD.91.054502},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 5,
volume = 91,
place = {United States},
year = {2015},
month = {3}
}

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