A one-loop study of matching conditions for static-light flavor currents

Heavy Quark Effective Theory (HQET) computations of semi-leptonic decays, e.g. B → πlν, require the knowledge of the parameters in the effective theory for all components of the heavy-light flavor currents. So far non-perturbative matching conditions have been employed only for the time component of the axial current. Here we perform a check of matching conditions for the time component of the vector current and the spatial component of the axial vector current up to one-loop order of perturbation theory and to lowest order of the 1/m-expansion. We find that the proposed observables have small higher order terms in the 1/m-series and are thus excellent candidates for a non-perturbative matching procedure.

Note:

15 pages, 5 figures; added references for sections 1 and 6

12.38.Gc
13.20.He
12.38.Bx
12.39.Hg
Heavy Quark Effective Theory
Lattice QCD
Non-perturbative renormalization
Matching
current: axial-vector
current: vector

References(0)

Figures(6)

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