Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks
- Department of Physics, University of California at San Diego, La Jolla, California 92093-0319 (United States)
- Physics Department, The Ohio State University, Columbus, Ohio 43210 (United States)
The temporal and spatial components of the heavy-light vector current and the spatial components of the axial-vector current are expressed in terms of lattice-regulated operators suitable for simulations of {ital B} and {ital D} mesons. The currents are constructed by matching the appropriate scattering amplitudes in continuum QCD and a lattice model to one-loop order in perturbation theory. In the lattice theory, the heavy quarks are treated using the nonrelativistic (NRQCD) formulation and the light quarks are described by the tadpole-improved clover action. The light quarks are treated as massless. Our currents include relativistic and discretization corrections through O({alpha}{sub s}/M,a{alpha}{sub s}), where {ital M} is the heavy-quark mass, {ital a} is the lattice spacing, and {alpha}{sub s} is the QCD coupling. As in our previous construction of the temporal component of the heavy-light axial-vector current, mixing between several lattice operators is encountered at one-loop order, and O(a{alpha}{sub s}) dimension-four improvement terms are identified. {copyright} {ital 1999} {ital The American Physical Society}
- OSTI ID:
- 336724
- Journal Information:
- Physical Review, D, Vol. 59, Issue 9; Other Information: PBD: May 1999
- Country of Publication:
- United States
- Language:
- English
Similar Records
Heavy-light mesons with quenched lattice NRQCD: Results on decay constants
Leptonic widths of heavy quarkonia: S-wave QCD/NRQCD matching coefficients for the electromagnetic vector annihilation current at O({alpha}{sub s}v{sup 2})