Dalitz plot studies ofD⁰→K_S⁰π⁺π⁻decays

Abstract

Abstract. The availaible data on the D 0 → K 0 S π + π − decays are analysed in the framework of the quasi two-body QCD factorization approximation. The annihilation, via Wexchange, amplitudes are added to the weak-decay tree amplitudes. The doubly Cabibbo suppressed parts of the amplitudes are also considered. The strong interactions between the kaon-pion and pion-pion pairs in the S -, P-and D-final states are described in terms of the corresponding form factors. The kaon-pion or pion-pion scalar and vector form factors are constrained by other experimental data. Unitarity, analyticity and chiral symmetry are also used to obtain their functional forms. We go through a minimization procedure to reproduce the K 0 S π − , K 0 S π + and π + π − effective mass projections of the Dalitz plot distributions. The large number (27) of non-zero amplitudes leads to a large number of parameters. The resulting model distributions and branching fractions are compared to the accurate Belle Collaboration data.

Final State Strong Interaction Constraints on Weak $${D^0 \to K^0_S \pi^+ \pi^-}$$ Decay Amplitudes

“…Other amplitudes can be derived similarly, their expression will be given in a forthcoming paper, however some explicit formulae can be found in Ref. [6].…”

Dalitz plot studies ofD0→KS0π+π−decays in a factorization approach

“…Preliminary results of the Dalitz plot analysis of the D 0 → K 0 S π + π − decays have been already shown during the MESON2012 Workshop [1]. One of our aims was the construction of D-decay amplitudes in which unitarity is preserved in two-body subchannels like in K 0 π S -wave and ππ S -and P-waves.…”