Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks - art. no. 094504

The temporal and spatial components of the heavy-light vector current and t he spatial components of the axial-vector current are expressed in terms of lattice-regulated operators suitable for simulations of B and D mesons. Th e currents are constructed by matching the appropriate scattering amplitude s in continuum QCD and a lattice model to one-loop order in perturbation th eory. In the lattice theory, the heavy quarks are treated using the nonrela tivistic (NRQCD) formulation and the light quarks are described by the tadp ole-improved clover action. The light quarks are treated as massless. Our c urrents include relativistic and discretization corrections through O(alpha (s)/M,a alpha(s)), where M is the heavy-quark mass, a is the lattice spacin g, and alpha(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( s)) dimension-four improvement terms are identified. [S0556-2821(99)03109-4 ].