Study of a model-independent method for the measurement of the angle phi_3

TL;DR

This paper investigates a model-independent Dalitz plot analysis method for measuring the angle phi_3 of the unitarity triangle, focusing on limited charm data samples and proposing a binned analysis strategy to optimize precision.

Contribution

It introduces a binned analysis procedure for phi_3 extraction that achieves precision comparable to model-dependent methods, suitable for limited data scenarios.

Findings

Model-independent analysis is feasible with binned methods.

Decays of D_CP alone are insufficient for complete model independence.

Proposed binned analysis yields phi_3 precision comparable to unbinned fits.

Abstract

This report shows the latest results on the study of the method to determine the angle phi_3 of the unitarity triangle using Dalitz plot analysis of $D^0$ decay from B->DK process in a model-independent way. We concentrate on the case with a limited charm data sample, which will be available from the CLEO-c collaboration in the nearest future, with the main goal to find the optimal strategy for phi_3 extraction. We find that the analysis using decays of D_CP only cannot provide a completely model-independent measurement in the case of limited data sample. The procedure involving binned analysis of B->DK and psi(3770)->(K^0_S pi^+ pi^-)_D(K^0_S pi^+ pi^-)_D decays is proposed, that allows to obtain the phi_3 precision comparable to unbinned model-dependent fit.