We present a pattern recognition method which use datapoints on a plane and estimates the parameters of a circle. MC data are generated in order to test the methods efficiency over noise hits, uncertainty in the hits positions and number of datapoint
s. The scenario were the hits from a quadrant of the circle are missing is also considered. The method proposed is proven to be robust, accurate and very efficient.
The spatial resolution of a detector, using a reference detector telecscope, can be measured applying the geometric mean method, with tracks reconstructed from hits of all the detectors, including ($sigma_mathrm{in}$) and excluding ($sigma_mathrm{ex}
$) the hit from the detector under study. The geometric mean of the two measured resolution values ($sigma=sqrt{sigma_mathrm{ex}sigma_mathrm{in}}$), is proposed to provide a more accurate estimate of the intrinsic detector resolution. This method has been tested using a Monte Carlo algorithm and is proven to give accurate results, independently of the distance between the detectors used for the track fitting. The method does not give meaningful results if all the detectors do not carry the same characteristics.
We calculate the leading order cross section for the associated production of Z and J/{psi}. Processes that include associated production of electroweak bosons and heavy quarlonium can give valuable insight to the production mechanism of quarkonia. W
e conclude that this process is accessible by the LHC statistics.
