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A method for determining the $q^2$ dependent $\bar{K}^{*0}$ spin amplitudesof $\bar{B}^{0}\to \bar{K}^{*0}\mu^+\mu^-$ decays through a maximum likelihoodfit to data is presented. While current experimental techniques extract alimited set of observables in bins of $q^2$, our approach allows for thedetermination of all observable quantities as continuous distributions in$q^2$. By doing this, the method eliminates the need to correct theorypredictions of these observables for $q^2$ averaging effects, thus increasingthe sensitivity to the effects of physics beyond the Standard Model. Accountingfor the symmetries of the angular distribution and using a three parameteransatz for the $q^2$ dependence of the amplitudes, the precision of the angularobservables and the sensitivity to new physics is estimated using simulatedevents. These studies are based on the sample sizes collected by the LHCbexperiment during Run-I and expected for Run-II.

Method for an unbinned measurement of the $q^2$ dependent decay amplitudes of $\bar{B}^{0}\to \bar{K}^{*0}\mu^+\mu^-$ decays