Time Dependence of Coherent $P^0{\bar{P}}^0$ Decays and CP Violation at Asymmetric $B$ Factories

Abstract

A generic formalism is presented for the time-dependent or time-integrated decays of any coherent $P^0{\bar{P}}^0$ system ($P^0=K^0,D^0,B_d^0$, or $B_s^0$). To meet various possible measurements at asymmetric $B$ factories, we reanalyze some typical signals of CP violation in the coherent $B_d^0{\bar{B}}_d^0$ transitions. The advantage of proper time cuts is illustrated for measuring mixing parameters and CP violation. We show that the direct and indirect CP asymmetries are distinguishable in neutral B decays to CP eigenstates. The possibility to detect the CP- forbidden processes at the ${\rm Y}(4S)$ resonance is explored in some detail.

13 Latex pages including 3 figures

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