Abstract
Abstract We report on a non-perturbative determination of the parameters of the lattice Heavy Quark Effective Theory (HQET) Lagrangian and of the time component of the heavy-light axial-vector current with N f = 2 flavors of massless dynamical quarks. The effective theory is considered at the 1/m h order, and the heavy mass m h covers a range from slightly above the charm to beyond the beauty region. These HQET parameters are needed to compute, for example, the b-quark mass, the heavy-light spectrum and decay constants in the static approximation and to order 1/m h in HQET. The determination of the parameters is done non-perturbatively. The computation reported in this paper uses the plaquette gauge action and two different static actions for the heavy quark described by HQET. For the light-quark action we choose non-perturbatively O(a)-improved Wilson fermions.
Highlights
Lattice QCD will enable us to compute mb and fB with a precision comparable to the one of forthcoming experimental measurements from high luminosity collisions
We report on a non-perturbative determination of the parameters of the lattice Heavy Quark Effective Theory (HQET) Lagrangian and of the time component of the heavy-light axial-vector current with Nf = 2 flavors of massless dynamical quarks
In this work we present our non-perturbative determination of the parameters mbare, ln(ZAHQET), cHAQET, ωkin, and ωspin at values of the lattice spacing relevant for the computation of hadronic observables
Summary
The computation reported here is done along the lines of [14]. For completeness, we repeat here the basic ingredients but refer the reader to this work for more detailed explanations. By imposing eq (2.4), the parameters ωi become functions of M , but this heavy quark mass dependence comes entirely from ΦQCD We perform another set of simulations of the effective theory in a larger volume of space extent L2 = 2L1. The observables in this volume are obtained by taking the continuum limit of eq (2.3) in which we insert the parameters ω(M, a) computed in the previous step: ΦHQET(L2, M, 0) = lim η(L2, a) + φ(L2, a) ω(M, a). In the last step we perform an interpolation (or, in one case, a slight extrapolation) in the inverse bare coupling β = 6/g02 and obtain ω(M, a) at exactly those values of the lattice spacing used in our large volume simulations [18]
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