First model-independent Dalitz analysis of B0 → DK∗0, D → KS π+π-decay

Abstract

We report a measurement of the amplitude ratio rS of B → DK∗and B → D K∗decays with a Dalitz analysis of D → KS 0π +π-decays, for the first time using a modelindependent method. We set an upper limit rS < 0.87 at the 68% confidence level, using the full data sample of 711 fb-1 corresponding to 772 × 106 BB pairs collected at the (4S) resonance with the Belle detector at the KEKB e+e-collider. This result is obtained from observables x-= +0.4+1.0+0.0-0.6-0.1 ± 0.0, y-=-0.6+-0 1.8 0+-0 0.1 0 ± 0.1, x+ = +0.1+-0 0.7 4+-0 0.0 1 ± 0.1, and y+ = +0.3+-0 0.5 8+-0 0.0 1 ± 0.1, where x± = rS cos(dS ± f3), y± = rS sin(dS ± f3), and f3 (dS) is the weak (strong) phase difference between B → DK∗and B → D K ∗0.