Determining the unitarity triangle angle $\gamma$ with a four-body amplitude analysis of ${\mathrm{B}}^{\pm }\to ({\mathrm{K}}^{+}{\mathrm{K}}^{-}{\pi }^{+}{\pi }^{-}{)}_{\mathrm{D}}{\mathrm{K}}^{\pm }$ decays

Abstract

We explain how a four-body amplitude analysis of the $\mathrm{D}$ decay products in the mode ${\mathrm{B}}^{\pm }\to ({\mathrm{K}}^{+}{\mathrm{K}}^{-}{\pi }^{+}{\pi }^{-}{)}_{\mathrm{D}}{\mathrm{K}}^{\pm }$ is sensitive to the unitarity triangle angle $\gamma$. We present results from simulation studies which show that a precision on $\gamma$ of $15^{\circ }$ is achievable with 1000 events and assuming a value of 0.10 for the parameter $r_B$.

Comments: 8 pages, 3 figures. (This version has bug in equation 4 fixed, and minor modification to references.)