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Reconstruction of the $B^0 \to D^{*-} \tau^+ \nu_{\tau}$ angular distributionis complicated by the strongly-biasing effect of losing the neutrinoinformation from both the $B$ and $\tau$ decays. In this work, a novel methodfor making unbiased measurements of the angular coefficients while preservingthe model independence of the angular technique is demonstrated. The twelveangular functions that describe the signal decay, in addition to backgroundterms, are modelled in a multidimensional fit, using template probabilitydensity functions that encapsulate all resolution and acceptance effects.Sensitivities at the LHCb and Belle II experiments are estimated, and sourcesof systematic uncertainty are discussed, notably in the extrapolation to ameasurement of $R(D^{*})$.

Model-independent method for measuring the angular coefficients of $B^0 \to D^{*-} \tau^+ \nu_{\tau}$ decays