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As a consequence of the Ward identity for hadronic matrix elements, we findrelations between the differential decay rates of semileptonic decay modes withthe underlying quark-level transition $b\rightarrow c\tau \nu$, which are validin scalar models. The decay-mode dependent scalar form factor is the onlynecessary theoretical ingredient for the relations. Otherwise, they combinemeasurable decay rates as a function of the invariant mass-squared of thelepton pair $q^2$ in such a way that a universal decay-mode independentfunction is found for decays to vector and pseudoscalar mesons, respectively.This can be applied to the decays $B\rightarrow D^{*}\tau\nu$, $B_s\rightarrowD_s^*\tau\nu$, $B_c\rightarrow J/\psi\tau\nu$ and $B\rightarrow D\tau\nu$,$B_s\rightarrow D_s\tau\nu$, $B_c\rightarrow \eta_c\tau\nu$, with implicationsfor $R(D^{(*)})$, $R(D_s^{(*)})$, $R(J/\psi)$, $R(\eta_c)$, and$\mathcal{B}(B_c\rightarrow \tau\nu)$. The slope and curvature of thecharacteristic $q^2$-dependence is proportional to scalar new physicsparameters, facilitating their straight forward extraction, complementary toglobal fits.

Relations between $b\rightarrow c\tau \nu$ Decay Modes in Scalar Models