Hadronic spectral moments in semileptonicBdecays with a lepton energy cut

We compute the first two moments $〈{(s}_H-m_D^2{)}^{1,2}〉$ of the final hadronic invariant mass in the inclusive decay $\overrightarrow{B}{X}_c\mathcal{l}\overline{\nu },$ in the presence of a cut $E_{\mathcal{l}}^{\min }$ on the charged lepton energy. These moments may be measured directly by experiments at the ${\rm Y}\mathrm{}\left(4S\right)\mathrm{}$ using the neutrino reconstruction technique, which requires such a cut. Measurement of these moments will place constraints on the nonperturbative parameters $\overline{\Lambda }$ and ${\lambda }_1,$ which are relevant for extracting the quark masses $m_b$ and $m_c,$ as well as the CKM angle $V_{\mathrm{cb}}.$ 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 theoretical uncertainty in the extraction of $\overline{\Lambda }$ and ${\lambda }_1.$