Improved constraints on $\gamma$: CKM2014 update

We report on an updated combination of all currently available tree-level measurements of the CKM angle $\gamma$ from LHCb. We use results obtained from time integrated analyses of $B^+ \to Dh^+$ and $B^0 \to DK^{*0}$ decays, where $h^+$ corresponds to either $K^+$ or $\pi^+$ and the D meson decays into $K^+ K^-, \pi^+ \pi^-, K^{\pm}\pi^{\mp}, K_s^0K^{\pm}\pi^{\mp}, K_s^0\pi^{\pm}\pi^{\mp}, K_s^0K^{\pm}K^{\mp}$, and $K^{\pm}\pi^{\mp}\pi^{\pm}\pi^{\mp}$. The effect of $D^0- \bar{D}^0$ mixing is taken into account. In addition, we use results obtained from a time dependent analysis of $B^0_s \to D_s^{\mp}K^{\pm}$. We find a best fit value of $\gamma$ = 78.9$^\circ$ and set confidence intervals on $\gamma$ using a frequentist procedure: $\gamma \in [71.5, 84.7]^{\circ}$ at 68% confidence level (CL) and $\gamma \in [54.6, 91.4]^{\circ}$ at 95% CL, where all values are modulo 180$^{\circ}$. When combining results from $B \to DK$ -like decays alone, i.e. excluding $B \to D\pi$ decays, we find a best fit value of $\gamma = 72.9^{\circ}$ and set the confidence intervals: $\gamma \in [63.0, 82.1]^{\circ}$ at 68% CL and $\gamma \in [52.0, 90.5]^{\circ}$ at 95% CL. Using the best fit value and the 68% CL interval, we find $\gamma = (73^{+9}_{-10})^{\circ}$.