Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-02-07
Phys.Rev. D62 (2000) 014505
Physics
High Energy Physics
High Energy Physics - Lattice
41 pp., no figs; Phys Rev D version, improving argument that an HQET holds for all m_Qa
Scientific paper
10.1103/PhysRevD.62.014505
Heavy-quark effective theory (HQET) is applied to lattice QCD with Wilson fermions at fixed lattice spacing a. This description is possible because heavy-quark symmetries are respected. It is desirable because the ultraviolet cutoff $1/a$ in current numerical work and the heavy-quark mass $m_Q$ are comparable. Effects of both short distances, a and $1/m_Q$, are captured fully into coefficient functions, which multiply the operators of the usual HQET. Standard tools of HQET are used to develop heavy-quark expansions of lattice observables and, thus, to propagate heavy-quark discretization errors. Three explicit examples are given: namely, the mass, decay constant, and semileptonic form factors of heavy-light mesons.
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