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Measurement of CP violation in B→DK* decays with the LHCb experiment

This thesis reports an analysis of 3.0 fb−1 of pp collision data collected by the LHCb experiment in 2011 and 2012. Decays of neutral B mesons to neutral D mesons and excited neutral kaons are reconstructed, because of their sensitivity to the CP -violating phase of the CKM matrix, γ. The neutral D meson is reconstructed in four separate final states. These are K−π+, K+π−, K+K− and π+π−. Several observables are defined, in terms of the partial widths of B → DK∗ decays, that are sensitive to γ and other, CP -conserving, parameters of the decays of the B and D mesons. The measured results include the CP asymmetry between the partial widths of B → D(K+K−)K∗0 and B → D(K+K−)K∗0 decays, which is found to be A d = −0.198 +0.144 −0.145 +0.019 −0.020. In addition, the Cabibbo-suppressed B → D(K−π+)K∗0 and B → D(K+π−)K∗0 decays are analysed for the first time with data collected by LHCb. The ratio of the partial widths of the Cabibbo-suppressed B → D(K−π+)K∗0 decay to the Cabibbo-favoured B → D(K+π−)K∗0 decay is measured, as well as the analogous quantity corresponding to B decays. These are found to be R+d = 0.057 +0.029 −0.027 +0.009 −0.012 and Rd = 0.056 +0.032 −0.030 +0.009 −0.012, respectively. Finally, the ratio of the magnitudes of the amplitudes corresponding to B → D0K∗0 and B → D0K∗0 decays is found to be rB = 0.230 +0.063 −0.045 at a confidence level of 68.3% and the first constraints on γ from Bd → DK∗ decays are made.