Heavy-Light Mesons with Quenched Lattice NRQCD: Results on Decay Constants

Abstract

We present a quenched lattice calculation of heavy-light meson decay constants, using non-relativistic (NRQCD) heavy quarks in the mass region of the $b$ quark and heavier, and clover-improved light quarks. The NRQCD Hamiltonian and the heavy-light current include the corrections at first order in the expansion in the inverse heavy quark mass. We study the dependence of the decay constants on the heavy meson mass $M$, for light quarks with the tree level ($c_{SW}$ = 1), as well as the tadpole improved clover coefficient. We compare decay constants from NRQCD with results from clover ($c_{SW}=1$) heavy quarks. Having calculated the current renormalisation constant $Z_A$ in one-loop perturbation theory, we demonstrate how the heavy mass dependence of the pseudoscalar decay constants changes after renormalisation. For the first time, we quote a result for $f_B$ from NRQCD including the full one-loop matching factors at $O(\alpha /M)$.

45 pages, latex, 24 postscript figures

References in corpus (1)

• A High Statistics Lattice Calculation of Heavy-Light Meson Decay Constants

Cited by in corpus (15)

• B and D Meson Decay Constants in Lattice QCD
• One-loop matching of lattice and continuum heavy-light axial vector currents using NRQCD
• Scaling of the Upsilon Spectrum in Lattice NRQCD
• B Meson Decay Constants From NRQCD
• B meson leptonic decay constant with quenched lattice NRQCD
• Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks
• Leptonic Decays of Heavy Quarks on the Lattice
• f_B with lattice NRQCD including O(1/m_Q^2) corrections
• B Mixing
• A lattice NRQCD calculation of the $B^0-{\bar{B}}^0$ mixing parameter B_B
• Chiral extrapolation of lattice data for the hyperfine splittings of heavy mesons
• B Meson Decay Constants Using NRQCD
• Scaling behavior of $f_B$ with NRQCD
• Perturbative Matching of Heavy-Light Currents with NRQCD Heavy Quarks
• Gauge dependence and matching procedure of a nonrelativistic QED/QCD boundstate formalism