Dalitz plot studies of D0 → KS0π+π− decays

• Published in: EPJ Web of conferences 2012-12, Vol.37, p.05001
• Main Authors: Leśniak, L., Kamiński, R., Furman, A., Dedonder, J.-P., Loiseau, B.
• Format: Article
• Language: English
• ISSN: 2100-014X; 2100-014X
• DOI: 10.1051/epjconf/20123705001

The availaible data on the D0 → KS0π+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 KS0π−, KS0π+ 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.