B- and D-meson Decay Constants from Three-flavor Lattice QCD.
Author | : |
Publisher | : |
Total Pages | : 63 |
Release | : 2012 |
ISBN-10 | : OCLC:1066672150 |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Download or read book B- and D-meson Decay Constants from Three-flavor Lattice QCD. written by and published by . This book was released on 2012 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 m̃_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.