CPandCPTsymmetry tests from the two-pion decays of the neutral kaon with the Fermilab E731 detector

Abstract

We present a comprehensive treatment of the precise determinations of the parameters Re$({\varepsilon }^{\prime }/\varepsilon )$, ${\tau }_{\mathrm{S}},$ $\Delta m$, ${\phi }_{+-},$ and $\Delta \phi$ in the neutral kaon system with the Fermilab E731 detector. Together, these determinations allow accurate studies of both $\mathrm{CP}$ and $\mathrm{CPT}$ symmetry. Details of the detector and its performance and the data analysis are given. The extensive Monte Carlo simulation of the detector and comparison with data are also presented.