Perturbative corrections to a sum rule for the heavy quark kinetic energy
Abstract
We calculate the perturbative corrections to order α^{2}_{s}β_{0} to the sum rule derived from the second moment of the timeordered product of b > c currents near zero recoil. This sum rule yields a bound on λ_{1}, the expectation value of the b quark kinetic energy operator inside the B meson. The perturbative corrections significantly weaken the bound relative to the tree level result, yielding λ_{1} < 0.15 GeV^{2}.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(97)00539X
 arXiv:
 arXiv:hepph/9702341
 Bibcode:
 1997PhLB..403..323D
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 10 pages revtex, uses FEYNMAN