Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-02-20
Phys.Lett.B354:423-434,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, LaTeX, no figures
Scientific paper
10.1016/0370-2693(95)00660-D
We propose a non-perturbative method for defining the higher dimensional operators which appear in the Heavy Quark Effective Theory (HQET), such that their matrix elements are free of renormalon singularities, and diverge at most logarithmically with the ultra-violet cut-off. Matrix elements of these operators can be computed numerically in lattice simulations of the HQET. We illustrate our procedures by presenting physical definitions of the binding energy ($\lb$) and of the kinetic energy (-$\lambda_1/2m_Q$) of the heavy quark in a hadron. This allows us to define a ``subtracted pole mass", whose inverse can be used as the expansion parameter in applications of the HQET.
Martinelli Gabriele
Sachrajda Chris T.
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