H. Davoudiasl et Ak. Leibovich, PERTURBATIVE CORRECTIONS TO A SUM-RULE FOR THE HEAVY-QUARK KINETIC-ENERGY, Physics letters. Section B, 403(3-4), 1997, pp. 323-328
We calculate the perturbative corrections to order alpha(s)(2) beta(0)
to the sum rule derived from the second moment of the time-ordered pr
oduct of b --> c currents near zero recoil. This sum rule yields a bou
nd on lambda(1), the expectation value of the b quark kinetic energy o
perator inside the B meson. The perturbative corrections significantly
weaken the bound relative to the tree level result, yielding lambda(1
) < -0.15 GeV2. (C) 1997 Elsevier Science B.V.