paper

How reliable are the HQET-sum rule predictions?

arXiv:hep-ph/9501402 · doi:10.1016/0370-2693(95)00428-N

Abstract

We test the internal consistencies and the reliability of the existing estimates of the decay constant in the static limit, the meson-quark mass gap and the kinetic energy of a heavy quark obtained from the heavy quark effective theory (HQET)-sum rules. Finite energy local duality sum rules (FESR) have also been used to fix the value of the continuum energy and to study the correlations among these different parameters. Then, we deduce to two-loop accuracy: $\bl=(0.65\pm 0.05)$ GeV, GeV^2M_b= (4.61 \pm 0.05)f_B^\infty=(1.98 \pm 0.31)f_πf_P\sqrt{M_P}=(0.33 \pm 0.06)^{3/2}\als^{1/β_1}2}\als^{1/β_1 1-2\als/3π-1.1/M_Q +0.7/M_Q^2 .$

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