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The first measurement that relates semileptonic and hadronic decay rates ofthe $B_c^+$ meson is performed using proton-proton collision data correspondingto 1.0 fb$^{-1}$ of integrated luminosity collected with the LHCb detector. Themeasured value of the ratio of branching fractions, ${\cal B}(B_c^+ \to J/\psi\pi^+)/{\cal B}(B_c^+\to J/\psi\mu^+\nu_\mu)=0.0469 \pm 0.0028 (stat.) \pm0.0046 (syst.)$, is at the lower end of available theoretical predictions.

Measurement of the ratio of $B_c^+$ branching fractions to $J/\psi\pi^+$ and $J/\psi\mu^+\nu_\mu$