Determination of the jet energy scale using $Z\to e^+e^-$ + jet $p_T$ balance and a procedure for combining data driven corrections

% The uncertainty in the measured jet energy is one % of the most dominant sources of systematic uncertainty for many % measurements at hadron colliders - % most notably the measurements of the inclusive % jet cross section, top-quark-mass, and large missing % transverse energy as predicted in many new physics models. % For data-driven determination of the jet energy scale, % we need a reference object with precisely measured transverse % momentum which can balance the transverse momentum of the % jet in a $2 \to 2$ process. % The photon and Z boson are excellent reference objects for such an % \textit{in situ} calibration. We present a data-driven method to determine jet energy corrections from \Zee\ + jet events using transverse momentum balance between the jet and the Z boson. We then illustrate a procedure for combining jet energy corrections from \Zee\ + jet, \Zmumu\ + jet and $\gamma$ + jet calibration samples, to obtain a single data-driven jet energy correction. Finally, we demonstrate how QCD dijet Monte Carlo events can be used to extrapolate this correction to jet transverse momentum ranges beyond those available in the calibration samples.