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 KK resonances. In the following, we discuss: (1) D 0 → K 0 S π + π − ; (2) doubly Cabibbo-suppressed decays; and (3) CP violation. (1680) − π + , and the doubly Cabibbo-suppressed (DCS) mode K * (892) + π −. A BABAR analysis [2–4] added to these ten the K * (1410) − π + , K 0 S ρ(1450), the DCS resonances K * 0 (1430) + π − and K * 2 (1430) + π − , and two Breit-Wigner ππ S-wave contributions. A Belle analysis [5–7] included all the components of BABAR and added two more DCS contributions, K * (1410) + π − and K * (1680) + π −. 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. A time-dependent analysis of the Dalitz plot from CLEO [8] and Belle [9] allows simultaneous determination of the strong transition amplitudes and phases, the mixing parameters x and y without phase or sign ambiguity, and the CP-violating parameter |q/p| and Arg(q/p). See the note on " D 0 − D 0 Mixing " for a discussion. The CKM angle γ/φ 3 [10] and the quark-mixing parameter cos 2β/φ 1 [11] can be determined with the process B − → D (*) K (*)− and B 0 → Dh 0 , respectively, followed by the decay D → K 0 S π + π −. The Belle and BABAR experiments measured γ/φ 3 (Belle [5–7] and BABAR [2–4]) and cos 2β/φ 1 (Belle [12], BABAR [13]). In these analyses, a large systematic uncertainty CITATION: C. Amsler et al.