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We present a model-independent global analysis of hadronic form factors forthe semileptonic decays $b\rightarrow c\ell\nu$ that exploits lattice-QCD data,dispersion relations, and heavy-quark symmetries. The analysis yieldspredictions for the relevant form factors, within quantifiable bounds. Theseform factors are used to compute the semileptonic ratios $R(H_c)$ and variousdecay-product polarizations. In particular, we find $R(D_s^*)=0.20(3)$ and$R(J/\psi)=0.25(3)$, predictions that can be compared to results of upcomingLHCb measurements. In developing this treatment, we obtain leading-order NRQCDresults for the nonzero-recoil relations between the $B_c^+ \rightarrow\{J/\psi , \eta_c \}$ form factors.

Precision Model-Independent Bounds from Global Analysis of $b \to c \ell \nu$ Form Factors