Prospects for the measurement of the unitarity triangle angleγfromB0→DK+π−decays

Abstract

The potential for a precise measurement of the unitarity triangle angle $\ensuremath{\gamma}$ in future experiments from the decay ${B}^{0}\ensuremath{\rightarrow}D{K}^{*0}$ is well known. It has recently been suggested that the sensitivity can be significantly enhanced by analyzing the ${B}^{0}\ensuremath{\rightarrow}D{K}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ Dalitz plot to extract amplitudes relative to those of the flavor-specific decay ${B}^{0}\ensuremath{\rightarrow}{D}_{2}^{*\ensuremath{-}}{K}^{+}$. An extension to this method which includes the case where the neutral $D$ meson is reconstructed in suppressed final states is presented. The sensitivity to $\ensuremath{\gamma}$ is estimated using this method and compared to that obtained using the ${B}^{0}\ensuremath{\rightarrow}D{K}^{*0}$ decay alone. Experimental effects, such as background contamination, are also considered. This approach appears to be a highly attractive addition to the family of methods that can be used to determine $\ensuremath{\gamma}$.