Improvement in momentum resolution of parent particles using mass constraint in the rest frame

In particle physics, uncertainties in the reconstructed momentum of parent particles are introduced due to detector resolution. Traditionally, the momentum resolution of the parent particle is improved by minimizing a non-linear chi-square function via iterative methods. In this study, it is shown that the same chi-square minimization procedure results in a set of linear equations which can be solved non-iteratively in the center of mass frame of the parent particle. By using ALEPH full simulation data, the performance of the new method is compared with relatively slower iterative method for several decay channels. No significant difference between them is obtained in terms of improvement in momentum resolution. However, the new approach is found to be simple to implement and faster than that of traditional iterative method.