Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-10-22
Phys.Rev. D59 (1999) 094504
Physics
High Energy Physics
High Energy Physics - Lattice
10 pages, uses REVTeX and multicol.sty
Scientific paper
10.1103/PhysRevD.59.094504
The temporal and spatial components of the heavy-light vector current and the spatial components of the axial current are expressed in terms of lattice-regulated operators suitable for simulations of B and 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_s/M, a alpha_s), where M is the heavy-quark mass, a is the lattice spacing, and alpha_s is the QCD coupling. As in our previous construction of the temporal component of the heavy-light axial current, mixing between several lattice operators is encountered at one-loop order, and O(a alpha_s) dimension-four improvement terms are identified.
Morningstar Colin J.
Shigemitsu Junko
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