– 1 – Review of D - Meson Dalitz Plot Analyses

The formalism of Dalitz-plot analysis is reviewed in the preceding note. Recent studies of multi-body decays of charm mesons probe a variety of physics, including γ/φ 3 , D 0 –D 0 mixing, searches for CP violation, doubly Cabibbo-suppressed decays, and properties of S-wave ππ, Kπ, and K ¯ K resonances. In the following, we discuss: (1) D 0 → K 0 S π + π − ; (2) doubly Cabibbo-suppressed decays; and (3) CP violation. The properties of the light meson resonances determined in D-meson Dalitz-plot analyses are reported in the light unflavored meson section of this Review. (1680) − π + , and the doubly Cabibbo-suppressed (DCS) mode K * (892) + π −. The CLEO model does not provide a good description of higher-statistics BABAR and Belle data samples. An improved description is obtained in three ways: First, by adding more Breit-Wigner resonances. Second, following the methodology of FOCUS [2], by applying a K-matrix model [3–5] to the ππ S-wave [6,7]. Third, by adding a parameterization to the Kπ S-wave motivated by the LASS experiment [8]. A BABAR analysis [7,9,10] added to the CLEO model the K * (1410) − π + , K 0 S ρ 0 (1450), the DCS modes K * 0 (1430) + π − and K * 2 (1430) + π − , and two Breit-Wigner ππ S-wave contributions. A Belle analysis [11–13] included all the components of BABAR and added two more DCS modes, K * (1410) + π − and K * (1680) + π −. Recently, BABAR has modeled the ππ S-wave using a K-matrix model for the ππ and Kπ S-waves [14]. The primary motivation for the analysis of the decay D 0 → K 0 S π + π − is to study D 0 − D 0 oscillations and the CKM angles. The quasi-two-body intermediate states include both CP-even and CP-odd eigenstates as well as doubly Cabibbo-suppressed channels. Time-dependent analyses of the Dalitz plot from CLEO [15] and Belle [6] simultaneously determined the strong