Unbinned model-independent measurements with coherent admixtures of multibody neutral D meson decays

Various studies of Standard Model parameters involve measuring the properties of a coherent admixture of [Formula: see text] and [Formula: see text] states. A typical example is the determination of the Unitarity Triangle angle [Formula: see text] in the decays [Formula: see text] , [Formula: see text] . A model-independent approach to perform this measurement is proposed that has superior statistical sensitivity than the well-established method involving binning of the [Formula: see text] decay phase space. The technique employs Fourier analysis of the complex phase difference between [Formula: see text] and [Formula: see text] decay amplitudes and can easily be generalised to other similar measurements, such as studies of charm mixing or determination of the angle [Formula: see text] from [Formula: see text] decays.