An analysis of B0>D K*0 decays is presented, where D represents an admixture of D0 and D0b mesons reconstructed in four separate final states: Kpi+, piK+, K+K and pi+pi. The data sample corresponds to 3.0fb1 of protonproton collision, collected by the LHCb experiment. Measurements of several observables are performed, including CP asymmetries. The most precise determination is presented of rB(DK*0), the magnitude of the ratio of the amplitudes of the decay B0>D K+ pi with a b>u or a b>c transition, in a K pi mass region of +/50 MeV/c2 around the K*(892) mass and for an absolute value of the cosine of the K*0 helicity angle larger than 0.4.
Feynman diagrams of {\it(left)} $ B ^0 \rightarrow D ^0 K ^{*0} $ and {\it (right)} $ B ^0 \rightarrow \overline{ D }{} {}^0 K ^{*0} $. 
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Backgroundsubtracted $ K ^{*0} \rightarrow K ^+ \pi ^ $ invariant mass for $ B ^0 \rightarrow D ( K ^+ \pi ^ ) K ^{*0} $ signal candidates. The data (points) and the fit described in the text (solid line) are shown. The dashed line represents the $ K ^{*0} $ signal and the filled area the non $ K ^{*0}$ contribution to the $ B ^0 \rightarrow D K ^{*0} $ signal. The vertical dotted lines indicate the invariant mass region used in the analysis. 
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Distributions of (top left) $ D (\pi ^ K ^+ ) \overline{ K }{} {}^{*0} $, (top right) $ D (\pi ^+ K ^ ) K ^{*0} $, (bottom left) $ D ( K ^ \pi ^+ ) \overline{ K }{} {}^{*0} $ and (bottom right) $ D ( K ^+ \pi ^ ) K ^{*0} $ invariant mass. The data (black points) and the fitted invariant mass model (thick solid line) are shown. The PDFs corresponding to the different species are indicated in the legend: the $ B ^0 $ signal, the $ B ^0_ s $ signal, combinatorial background, $ B ^0 \rightarrow D \rho^0$ background, partially reconstructed $ B ^0_ s \rightarrow D ^* \overline{ K }{} {}^{*0} $ and $ B ^0 \rightarrow D ^* K ^{*0} $ backgrounds. 
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Distributions of (top left) $ D ( K ^+ K ^ ) \overline{ K }{} {}^{*0} $, (top right) $ D ( K ^+ K ^ ) K ^{*0} $, (bottom left) $ D (\pi ^+ \pi ^ ) \overline{ K }{} {}^{*0} $ and (bottom right) $ D (\pi ^+ \pi ^ ) K ^{*0} $ invariant mass. The data (black points) and the fitted invariant mass model (thick solid line) are shown. The PDFs corresponding to the different species are indicated in the legend: the $ B ^0 $ signal, the $ B ^0_ s $ signal, combinatorial background, $ B ^0 \rightarrow D \rho^0$ background and partially reconstructed $ B ^0_ s \rightarrow D ^* \overline{ K }{} {}^{*0} $ and $ B ^0 \rightarrow D ^* K ^{*0} $ backgrounds. 
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$p$value as a function of $r_{ B }$, for $\kappa=0.95\pm0.03$. The horizontal dashed lines represent the $1\sigma$ and $2\sigma$ confidence levels and the vertical dotted line represents the obtained central value. 
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Twodimensional projections of the $p$value in $(r_B,\delta_B,\gamma )$ parameter space onto (left) $r_{ B }$ and $\gamma$ and (right) $\delta_{ B }$ and $\gamma$, for $\kappa=0.95\pm0.03$. The contours are the $n\sigma$ profile likelihood contours, where $\Delta\chi^2 = n^2$ with $n = 1$ (black), 2 (medium grey), and 3 (light gray), corresponding to 39.4%, 86.5% and 98.9% confidence level, respectively. The vertical line and hashed band represent the bestfit value of $\gamma $ and the 68.3% confidence level interval by Ref. [3]. 
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Animated gif made out of all figures. 
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Yields of signal candidates with their statistical uncertainties. 
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Uncertainties in the observables. All modelrelated systematic uncertainties are added in quadrature and the result is shown as one source of systematic uncertainty. The presence of `' indicates that the source of uncertainty does not affect the observable. 
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Supplementary material full pdf 
supple[..].pdf [74 KiB] 
Created on 10 July 2020.