Charm mixing as input for model-independent determinations of the CKM phase γ

The coherence factor and average strong phase difference of D0D0 and D¯0 decay amplitudes to the same final state play an important role in the precision determination of the CKM parameter γ   using B±→DK±B±→DK± and related decay modes. So far, this important input from the charm sector could only be obtained from measurements based on quantum-correlated DD¯ pairs produced at the charm threshold. We propose to constrain these parameters using charm mixing, using the large charm samples available at the B factories and LHCb. We demonstrate for the example of D→K+π−π+π−D→K+π−π+π− that a substantial improvement in the precision of the coherence factor and average strong phase difference can be obtained with this method, using existing data.