An analysis of the decay B0 > J/psi K*(892)0 is presented using data, corresponding to an integrated luminosity of 1.0fb^1, collected in pp collisions at a centreofmass energy of 7TeV with the LHCb detector. The polarisation amplitudes and the corresponding phases are measured to be A_{\parallel}^2 = 0.227 + 0.004 (stat.) + 0.011 (syst.), A_{\perp}^2 = 0.201 + 0.004 (stat.) + 0.008 (syst.), \delta_{\parallel} [rad] = 2.94 + 0.02 (stat.) + 0.03 (syst.), \delta_{\perp} [rad] = 2.94 + 0.02 (stat.) + 0.02 (syst.). Comparing B0 > J/psi K*(892)0 and \bar{B}0 > J/psi \bar{K}*(892)0 decays, no evidence for direct CP violation is found.
Feynman diagrams contributing to $B^0 \rightarrow J/\psi K^{*0}$ decays. 
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Definitions of the transversity angles $\theta, \psi, \varphi$, as described in the text. 
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Invariant mass distribution of the selected $B^0\rightarrow J/\psi K^{*}{^0}$ candidates. The curves for the signal (solid blue), background (dashed red) and total (solid black) as determined from a fit are shown. 
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Angular acceptance $A(\Omega)$ as a function of each decay angle, integrated over the other two angles for (a) $\cos\theta$, (b) $\cos\psi$ and (c) $\varphi$. The projections are normalised such that their average value over the histogram range is unity. 
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Background subtracted distribution of the $m(K^+\pi^)$ invariant mass. The four bins used to resolve the ambiguity in the strong phases are shown. 
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Projections of (a) the decay time and the transversity angles (b) $\cos\theta$, (c) $\cos\psi$ and (d) $\varphi$ from the fit to the data (points with statistical error bars). The different curves show the Pwave parityeven (dotted blue) and parityodd (dashed blue) components, the pure Swave (green) contributions without interference, as well as the total signal component (solid blue). 
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Variation of (a) $F_{\rm S}$ and (b) $\delta_{\rm S}  \delta_{\rm 0}$ in the simultaneous fit in four bins of the $K^+\pi^$ mass. There are two solutions of the relative phase, the falling trend (solid points) being the physical one. 
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Animated gif made out of all figures. 
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Definition of $h_k$ and $f_k$ appearing in Eq. 1. The $h_k$ factors are invariant under the phase transformation $(\delta_\parallel, \delta_\perp, \delta_{\rm S}) \longleftrightarrow ( \delta_\parallel, \pi  \delta_\perp,  \delta_{\rm S})$ [15,16]. The $f_k$ are functions defined such that their integrals over $\Omega$ are unity. 
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Bins of $m(K^+\pi^)$ and the corresponding $C_{\rm SP}$ correction factor for the Swave interference terms, assuming a uniform distribution for the nonresonant $K^+\pi^$ contribution and a relativistic BreitWigner shape for decays via the $K^{*0}$ resonance. 
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Systematic uncertainties as described in the text. The contribution from omitting the $C_{\rm SP}$ factors is negligible for the Pwave parameters. The total systematic uncertainty is the sum in quadrature of the individual contributions. 
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Results for $B^0\rightarrow J/\psi K^{*0}$ candidates. The uncertainties are statistical and systematic, respectively. 
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Signal yield ($N_{ {sig}}$) and results for the Swave parameters in each bin of $m(K^+\pi^)$ mass, showing statistical and systematic uncertainties. Only the physical solution is shown for $\delta_{\mathrm{S}} \delta_0$. 
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Correlation matrix for the fourbin fit. 
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Results from fits to the $B^0\rightarrow J/\psi K^{*0}$ and $\overline{B}^0\rightarrow J/\psi\overline K^{*0}$ background subtracted candidates and the direct $ C P$ asymmetries $\frac{\overline{X}X}{\overline{X}+X}$, where $X$ represents the parameter in question. The uncertainties are statistical for the amplitudes and phases and both statistical and systematic for the direct $ C P$ measurements. 
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Comparison of the LHCb results assuming no Swave component with results from previous experiments. The uncertainties are statistical and systematic, respectively. 
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Created on 18 January 2020.