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Lattice implementation of the Isgur-Wise limit

1992; American Physical Society; Volume: 45; Issue: 7 Linguagem: Inglês

10.1103/physrevd.45.r2183

1538-4500

Jeffrey E. Mandula, Michael C. Ogilvie,

High-Energy Particle Collisions Research

We construct the Isgur-Wise limit of QCD in a form appropriate for measurement by lattice-gauge-theory techniques. The coordinate-space fermion propagator in the presence of a background gauge field has a systematic expansion in powers of the inverse quark mass about the Isgur-Wise limit. The formulation permits a calculation of heavy-quark processes even when the momentum transfers are much larger than the inverse lattice spacing. Applications include semileptonic heavy-quark decay and scattering processes, including the computation of the nonperturbative part of the Isgur-Wise universal function.