χ based alignment using cosmic muons

The CLEO-c data sample is dominated should find more precise number by cosmic muons that triggered the detector. Further, cosmic muons have a hard momentum spectra as well as containing tracks that are not going through the origin. Hence, the sample of cosmic rays would provide a valuable sample of tracks for doing alignment. This note describes such an attempt. Besides using cosmic muons a χ minimization technique is used to determine the alignment parameters. The formalism for this is presented in Section 2. Implementation specific formulas such as the needed derivatives with respect to track parameters and alignment parameters are presented in Section 3. In Section 4 the CLEO alignment parameters for the DR and ZD is described. Section 5 describes how the Kalman fit is used to do the constrained fit of the two tracks to one through going, continuous track.