On one-loop corrections to matching conditions of Lattice HQET including 1/mb terms
Abstract
HQET is an effective theory for QCD with Nf light quarks and a massive valence quark if the mass of the latter is much bigger than LambdaQCD. As any effective theory, HQET is predictive only when a set of parameters has been determined through a process called matching. The non-perturbative matching procedure including 1/mb terms, developped by the ALPHA collaboration, consists of 19 carefully chosen observables which are precisely computable in lattice QCD as well as in lattice HQET. The matching conditions are then a set of 19 equations which relate the QCD and HQET values of these observables. We present a study of one-loop corrections to two generic matching observables involving correlation function with an insertion of the A0 operator. Our results enable us to quantify the quality of the relevant observables in view of the envisaged non-perturbative implementation of this matching procedure.
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