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Title: B- and D-meson decay constants from three-flavor lattice QCD

Abstract

We calculate the leptonic decay constants of B_{(s)} and D_{(s)} mesons in lattice QCD using staggered light quarks and Fermilab bottom and charm quarks. We compute the heavy-light meson correlation functions on the MILC asqtad-improved staggered gauge configurations which include the effects of three light dynamical sea quarks. We simulate with several values of the light valence- and sea-quark masses (down to ~m_s/10) and at three lattice spacings (a ~ 0.15, 0.12, and 0.09 fm) and extrapolate to the physical up and down quark masses and the continuum using expressions derived in heavy-light meson staggered chiral perturbation theory. We renormalize the heavy-light axial current using a mostly nonperturbative method such that only a small correction to unity must be computed in lattice perturbation theory and higher-order terms are expected to be small. We obtain f_{B^+} = 196.9(8.9) MeV, f_{B_s} = 242.0(9.5) MeV, f_{D^+} = 218.9(11.3) MeV, f_{D_s} = 260.1(10.8) MeV, and the SU(3) flavor-breaking ratios f_{B_s}/f_{B} = 1.229(26) and f_{D_s}/f_{D} = 1.188(25), where the numbers in parentheses are the total statistical and systematic uncertainties added in quadrature.

Authors:
 [1];
  1. Brookhaven National Laboratory (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Org.:
Fermilab Lattice and MILC Collaborations
OSTI Identifier:
1155767
Report Number(s):
FERMILAB-PUB-11-651-T
Journal ID: ISSN 1550-7998; arXiv eprint number arXiv:1112.3051
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology; Journal Volume: 85; Journal Issue: 11
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Bazavov, A., and et al.. B- and D-meson decay constants from three-flavor lattice QCD. United States: N. p., 2012. Web. doi:10.1103/PhysRevD.85.114506.
Bazavov, A., & et al.. B- and D-meson decay constants from three-flavor lattice QCD. United States. doi:10.1103/PhysRevD.85.114506.
Bazavov, A., and et al.. Fri . "B- and D-meson decay constants from three-flavor lattice QCD". United States. doi:10.1103/PhysRevD.85.114506. https://www.osti.gov/servlets/purl/1155767.
@article{osti_1155767,
title = {B- and D-meson decay constants from three-flavor lattice QCD},
author = {Bazavov, A. and et al.},
abstractNote = {We calculate the leptonic decay constants of B_{(s)} and D_{(s)} mesons in lattice QCD using staggered light quarks and Fermilab bottom and charm quarks. We compute the heavy-light meson correlation functions on the MILC asqtad-improved staggered gauge configurations which include the effects of three light dynamical sea quarks. We simulate with several values of the light valence- and sea-quark masses (down to ~m_s/10) and at three lattice spacings (a ~ 0.15, 0.12, and 0.09 fm) and extrapolate to the physical up and down quark masses and the continuum using expressions derived in heavy-light meson staggered chiral perturbation theory. We renormalize the heavy-light axial current using a mostly nonperturbative method such that only a small correction to unity must be computed in lattice perturbation theory and higher-order terms are expected to be small. We obtain f_{B^+} = 196.9(8.9) MeV, f_{B_s} = 242.0(9.5) MeV, f_{D^+} = 218.9(11.3) MeV, f_{D_s} = 260.1(10.8) MeV, and the SU(3) flavor-breaking ratios f_{B_s}/f_{B} = 1.229(26) and f_{D_s}/f_{D} = 1.188(25), where the numbers in parentheses are the total statistical and systematic uncertainties added in quadrature.},
doi = {10.1103/PhysRevD.85.114506},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 11,
volume = 85,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2012},
month = {Fri Jun 01 00:00:00 EDT 2012}
}