Impact ofD0−D0¯mixing on the experimental determination ofγ

Several methods have been devised to measure the weak phase $\gamma$ using decays of the type $B^{\pm }\to {\mathrm{DK}}^{\pm },$ where it is assumed that there is no mixing in the $D^0{-D}^0¯$ system. However, when using these methods to uncover new physics, one must entertain the real possibility that the measurements are affected by new physics effects in the $D^0{-D}^0¯$ system. We show that even values of $x_D$ and/or $y_D$ around ${10}^{-2}$ can have a significant impact in the measurement of ${\sin }^2\gamma .$ We discuss the errors incurred in neglecting this effect, how the effect can be checked, and how to include it in the analysis.