Non-perturbative tests of Heavy Quark Effective Theory

Details Non-perturbative tests of Heavy Quark Effective Theory Non-perturbative tests of Heavy Quark Effective Theory

2004-07-20

arxiv.org/abs/hep-ph/0407227v2

JHEP0411:048,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages including figures and tables, latex2e, uses JHEP3.cls; version published in JHEP, small additions and typos corrected

Scientific paper

10.1088/1126-6708/2004/11/048

We consider QCD with one massless quark and one heavy quark in a finite volume of linear extent L_0 ~ 0.2 fm. In this situation, HQET represents an expansion in terms of 1/z=1/(m L_0), which we test by a non-perturbative computation of quenched current matrix elements and energies, taking the continuum limit of lattice results. These are seen to approach the corresponding renormalization group invariant matrix elements of the static effective theory as the quark mass becomes large. We are able to obtain estimates of the size of the 1/m-corrections to the static theory, which are also of practical relevance in our recent strategy to implement HQET non-perturbatively by matching to QCD in a finite volume.

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