Abstract
A model-dependent amplitude analysis of the decay B0 → D(KS0π+π−)K∗ 0 is performed using proton-proton collision data corresponding to an integrated luminosity of 3.0 fb−1, recorded at s = 7 $$ \sqrt{s}=7 $$ and 8 TeV by the LHCb experiment. The CP violation observables x± and y±, sensitive to the CKM angle γ, are measured to be x − = − 0.15 ± 0.14 ± 0.03 ± 0.01 , y − = 0.25 ± 0.15 ± 0.06 ± 0.01 , x + = 0.05 ± 0.24 ± 0.04 ± 0.01 , y + = − 0.65 − 0.23 + 0.24 ± 0.08 ± 0.01 , $$ \begin{array}{l}{x}_{-}=-0.15\pm 0.14\pm 0.03\pm 0.01,\hfill \\ {}{y}_{-}=0.25\pm 0.15\pm 0.06\pm 0.01,\hfill \\ {}{x}_{+}=0.05\pm 0.24\pm 0.04\pm 0.01,\hfill \\ {}{y}_{+}=-{0.65}_{-0.23}^{+0.24}\pm 0.08\pm 0.01,\hfill \end{array} $$ where the first uncertainties are statistical, the second systematic and the third arise from the uncertainty on the D → KS0π+π− amplitude model. These are the most precise measurements of these observables. They correspond to γ = (80 − 22+ 21 )° and r B 0 = 0.39 ± 0.13 $$ {r}_{B^0}=0.39\pm 0.13 $$ , where r B 0 $$ {r}_{B^0} $$ is the magnitude of the ratio of the suppressed and favoured B0 → DK+π− decay amplitudes, in a Kπ mass region of ±50 MeV around the K*(892)0 mass and for an absolute value of the cosine of the K*0 decay angle larger than 0.4.