A combination of three LHCb measurements of the CKM angle γ is presented. The decays B± → D K ± and
B± → Dπ± are used, where D denotes an admixture of D0 and D0 mesons, decaying into K + K −, π+π−,
K ±π∓, K ±π∓π±π∓, K0
Sπ+π−, or K0
S K + K − final states. All measurements use a dataset corresponding
to 1.0 fb−1 of integrated luminosity. Combining results from B± → D K ± decays alone a best-fit value of
γ = 72.0◦ is found, and confidence intervals are set
γ ∈ [56.4, 86.7]
◦ at 68% CL,
γ ∈ [42.6, 99.6]
◦ at 95% CL.
The best-fit value of γ found from a combination of results from B± → Dπ± decays alone, is γ = 18.9◦,
and the confidence intervals
γ ∈ [7.4, 99.2]
◦ ∪ [167.9, 176.4]
◦ at 68% CL
are set, without constraint at 95% CL. The combination of results from B± → D K ± and B± → Dπ±
decays gives a best-fit value of γ = 72.6◦ and the confidence intervals
γ ∈ [55.4, 82.3]
◦ at 68% CL,
γ ∈ [40.2, 92.7]
◦ at 95% CL
are set. All values are expressed modulo 180◦, and are obtained taking into account the effect of D0–D0
mixing