Application of heavy-quark effective theory to lattice QCD: III. Radiative corrections to heavy-heavy currents

Abstract

We apply heavy-quark effective theory (HQET) to separate long- and short-distance effects of heavy quarks in lattice gauge theory. In this paper we focus on flavor-changing currents that mediate transitions from one heavy flavor to another. We stress differences in the formalism for heavy-light currents, which are discussed in a companion paper, showing how HQET provides a systematic matching procedure. We obtain one-loop results for the matching factors of lattice currents, needed for heavy-quark phenomenology, such as the calculation of zero-recoil form factors for the semileptonic decays $B\to D^{(\ast )}l\nu$. Results for the Brodsky-Lepage-Mackenzie scale $q^{\ast }$ are also given.

35 pages, 17 figures. Program LatHQ2QCD to compute matching one-loop coefficients available at http://theory.fnal.gov/people/kronfeld/LatHQ2QCD/

References in corpus (2)

• Heavy quark physics from lattice QCD
• Application of heavy-quark effective theory to lattice QCD: II. Radiative corrections to heavy-light currents

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