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} $. 
feynma[..].pdf [1 MiB] HiDef png [82 KiB] Thumbnail [16 KiB] *.C file 

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. 
kstarmm_1.pdf [1 MiB] HiDef png [223 KiB] Thumbnail [53 KiB] *.C file 

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. 
b0bar_[..].pdf [1 MiB] HiDef png [300 KiB] Thumbnail [72 KiB] *.C file 

b0_os_[..].pdf [1 MiB] HiDef png [352 KiB] Thumbnail [72 KiB] *.C file 

b0bar_[..].pdf [1 MiB] HiDef png [323 KiB] Thumbnail [77 KiB] *.C file 

b0_ss_[..].pdf [1 MiB] HiDef png [308 KiB] Thumbnail [75 KiB] *.C file 

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. 
b0bar_[..].pdf [1 MiB] HiDef png [424 KiB] Thumbnail [90 KiB] *.C file 

b0_kk_[..].pdf [1 MiB] HiDef png [423 KiB] Thumbnail [90 KiB] *.C file 

b0bar_[..].pdf [1 MiB] HiDef png [404 KiB] Thumbnail [86 KiB] *.C file 

b0_pip[..].pdf [1 MiB] HiDef png [380 KiB] Thumbnail [84 KiB] *.C file 

$p$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. 
rb_scan_1d.pdf [1 MiB] HiDef png [210 KiB] Thumbnail [58 KiB] *.C file 

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]. 
newcon[..].pdf [1 MiB] HiDef png [390 KiB] Thumbnail [108 KiB] *.C file 

newcon[..].pdf [1 MiB] HiDef png [443 KiB] Thumbnail [115 KiB] *.C file 

Animated gif made out of all figures. 
PAPER2014028.gif Thumbnail 
Yields of signal candidates with their statistical uncertainties. 
Table_1.pdf [51 KiB] HiDef png [97 KiB] Thumbnail [16 KiB] tex code 

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. 
Table_2.pdf [55 KiB] HiDef png [136 KiB] Thumbnail [21 KiB] tex code 
Supplementary material full pdf 
supple[..].pdf [74 KiB] 
Created on 16 February 2019.Citation count from INSPIRE on 21 February 2019.