Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-08-02
Phys.Lett. B389 (1996) 727-736
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages LaTeX (A4), 3 figures
Scientific paper
10.1016/S0370-2693(96)01330-5
We present a QCD sum-rule determination of the heavy-quark kinetic energy inside a heavy meson, $-\lambda_1/2 m_Q$, which is consistent with the field-theory analog of the virial theorem. We obtain $-\lambda_1\approx (0.10\pm 0.05)~\mbox{GeV}^2$, significantly smaller than a previous sum-rule result, but in good agreement with recent determinations from the analysis of inclusive decays. We also present a new determination of the chromo-magnetic interaction, yielding $\lambda_2(m_b)=(0.15\pm 0.03)~\mbox{GeV}^2$. This implies $m_{B^*}^2-m_B^2=(0.60\pm 0.12)~\mbox{GeV}^2$, in good agreement with experiment. As a by-product of our analysis, we derive the QCD sum rules for the three form factors describing the meson matrix element of a velocity-changing current operator containing the gluon field-strength tensor.
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