Af. Falk et M. Luke, HADRONIC SPECTRAL MOMENTS IN SEMILEPTONIC B-DECAY WITH A LEPTON ENERGY CUT, Physical review. D. Particles and fields, 57(1), 1998, pp. 424-430
We compute the first two moments [(s(H)-(m) over bar(D)(2))(1,2)] of t
he final hadronic invariant mass in the inclusive decay B-->X(c)l(nu)(
-), in the presence of a cut E-l(min) on the charged lepton energy. Th
ese moments may be measured directly by experiments at the Y(4S) using
the neutrino reconstruction technique, which requires such a cut. Mea
surement of these moments will place constraints on the nonperturbativ
e parameters <(Lambda)over bar> and lambda(1), which are relevant for
extracting the quark masses m(b) and m(c), as well as the CKM angle V-
cb. We include terms of order alpha(s)(2) beta(0) and 1/m(b)(3) in the
operator product expansion, and use the latter to estimate the theore
tical uncertainty in the extraction of <(Lambda)over bar> and lambda(1
). [S0556-2821(98)00701-2].