  We present a method for improving the $b$-jet energy resolution in order to
improve the signal sensitivity in searches for particles decaying to a $b$
quark and anti-$b$ quark. A correction function is computed for individual
jets, which combines information from the secondary vertex tagger, the offline
tracking and standard calorimeter-based jet-energy reconstruction algorithm in
order to provide a more accurate measurement of the true $b$-quark energy. We
apply the correction to Monte-Carlo-simulated jets in the process $WH
\rightarrow \ell \nu b\bar b$ and find an improvement in both the mean and the
resolution of the $b$-jet energy with respect to the $b$-quark energy. The
correction improves the measured Higgs dijet invariant mass resolution from
$\sim$ 15%(standard jet corrections) to $\sim$ 11%(improved jet corrections) in
the Higgs mass range from 100 GeV/$c^2$ - 150 GeV/$c^2$. Using the corrected
$b$-jet energies instead of the standard calorimeter-based $b$-jet energies
results in a $\sim$ 9% improvement in the expected sensitivity for Higgs boson
production cross section in the most sensitive search region of the $WH
\rightarrow \ell \nu b\bar b$ analysis, which is two tagged jets and one
charged central lepton.
