Extracting strong phase and $CP$ violation in $D$ decays by using quantum correlations in $\ddot{I}ˆ(3770)\to D^0{\overline{D}}^0\to (V_1{V}_2)(K\ddot{I}€)$ and $ψ(3770)\to D^0\overline{D}^0\to (V_1V_2)(V_3V_4)

Abstract

We exploit the angular and quantum correlations in the $D\bar{D}$ pairs produced through the decay of the $\ddot{I}ˆ(3770)$ resonance in a charm factory to investigate CP-violation in two different ways. We consider the case of $\ddot{I}ˆ(3770)\to D\bar{D}\to (V_1{V}_2)(K\ddot{I}€)$ decays, which provide a new way to measure the strong phase difference $\hat{I}´$ between Cabibbo-favored and doubly-Cabibbo suppressed $D$ decays required in the determination of the CKM angle ${\hat{I}}^3$. We also build CP-violating observables in $\ddot{I}ˆ(3770)\to D\bar{D}\to (V_1{V}_2)(V_3{V}_4)$ to isolate specific new physics effects in the charm sector. Neglecting the systematics, we give a first rough estimate of the sensitivities of these measurements at BES-III with an integrated luminosity of 20 fb${}^{-1}$ at $\ddot{I}ˆ(3770)$ peak and at a future super $\ddot{I}„$-charm factory with a luminosity of $10^{35}$ cm${}^{-2}$s${}^{-1}$

4 pages, in Pos style, Proceeding for ICHEP2010, Paris