The angular distributions and the partial branching fraction of the decay $B^{0} \rightarrow K^{*0} \mu^+ \mu^$ are studied using an integrated luminosity of $0.37\,fb^{1}$ of data collected with the LHCb detector. The forwardbackward asymmetry of the muons, $A_{\mathrm{FB}}$, the fraction of longitudinal polarisation, $F_{\mathrm{L}}$, and the partial branching fraction, $\mathrm{d}{\mathcal B}/\mathrm{d}q^{2}$, are determined as a function of the dimuon invariant mass. The measurements are in good agreement with the Standard Model predictions and are the most precise to date. In the dimuon invariant mass squared range $1.006.00{\mathrm{\,Ge V}}^2/c^4$, the results are $A_{\mathrm{FB}}=0.06\,^{+0.13}_{0.14} \pm 0.04$, $F_{\mathrm{L}}=0.55\pm 0.10\pm 0.03$ and $\mathrm{d}{\mathcal B}/\mathrm{d}q^{2}=(0.42 \pm 0.06\pm 0.03) \times 10^{7}c^4/{\mathrm{\,GeV}}^2$. In each case, the first error is statistical and the second systematic.
$K^+\pi^\mu ^+ \mu ^ $ invariant mass distribution after the application of the full selection as data points with the fit overlaid. The signal component is the green (light) line, the background the red (dashed) line and the full distribution the blue (dark) line. 
Fig1.pdf [18 KiB] HiDef png [227 KiB] Thumbnail [70 KiB] *.C file 

$ A_{\mathrm{FB}}$ , $ F_{\mathrm{L}}$ and $\mathrm{d}\cal B /\mathrm{d}q^{2}$ as a function of $q^{2}$. The SM prediction is given by the cyan (light) band, and this prediction rateaveraged across the $ q^2$ bins is indicated by the purple (dark) regions. No SM prediction is shown for the region between the two regimes in which the theoretical calculations are made (see text). 
Fig2.pdf [26 KiB] HiDef png [214 KiB] Thumbnail [79 KiB] *.C file 

Fit projections for $m_{K\pi\mu\mu}$, $\cos{\theta_l}$ and $\cos{\theta_K}$ for the $ q^2$ bins: $0.10 < q^{2} < 2.00$, $2.00 < q^{2} < 4.30$ and $4.30 < q^{2} < 8.68\mathrm{\,GeV} ^{2}/c^4$. 
fits_f[..].pdf [11 KiB] HiDef png [280 KiB] Thumbnail [68 KiB] *.C file 

fits_f[..].pdf [11 KiB] HiDef png [287 KiB] Thumbnail [69 KiB] *.C file 

fits_f[..].pdf [11 KiB] HiDef png [277 KiB] Thumbnail [65 KiB] *.C file 

Fit projections for $m_{K\pi\mu\mu}$, $\cos{\theta_l}$ and $\cos{\theta_K}$ for the $ q^2$ bins: $10.09 < q^{2} < 12.86$, $14.18 < q^{2} < 16.00$ and $16.00 < q^{2} < 19.00\mathrm{\,GeV} ^{2}/c^4$. 
fits_f[..].pdf [11 KiB] HiDef png [274 KiB] Thumbnail [68 KiB] *.C file 

fits_f[..].pdf [11 KiB] HiDef png [273 KiB] Thumbnail [66 KiB] *.C file 

fits_f[..].pdf [11 KiB] HiDef png [269 KiB] Thumbnail [67 KiB] *.C file 

Animated gif made out of all figures. 
PAPER2011020.gif Thumbnail 
Central values with statistical and systematic uncertainties for $ A_{\mathrm{FB}}$ , $ F_{\mathrm{L}}$ and $\mathrm{d}\cal B /\mathrm{d}q^{2}$ as a function of $ q^2$ . The $ B ^0 \!\rightarrow K ^{*0} \mu ^+ \mu ^ $ signal and background yields in the $\pm50 {\mathrm{\,MeV\!/}c^2} $ signal mass window with their statistical uncertainties are also indicated, together with the statistical significance of the signal peak that is observed. \\ 
Table_I.pdf [56 KiB] HiDef png [89 KiB] Thumbnail [15 KiB] tex code 
Created on 16 February 2019.Citation count from INSPIRE on 16 February 2019.