Method for Determining the D~0 — D~0 Mixing Parameters

摘要

We propose a new method to determine the mass and width differences of the two D meson mass eigenstates as well as the CP violating parameters associated with D~0 — D~0 mixing. We show that an accurate measurement of all the mixing parameters is possible for an arbitrary CP violating phase, by combining observables from a time dependent study of D decays to a doubly Cabibbo suppressed mode with information from a CP eigenstate. As an example we consider D~0 → K~(*0)π~0 decays where the K~(*0) is reconstructed in both K~+ π~- and K_sπ~0. We also show that decays to the CP eigenstate D → K~+K~-together with D → K~+π~- decays can be used to extract all the mixing parameters. There is a fourfold ambiguity in the solutions for x and y in both the cases. A combined analysis using D~0 → K~(*0)π~0 and D → K~+ K~- can also be used to reduce the ambiguity in the determination of parameters.