Measurement of the branching fraction ratios $R(D^{+})$ and $R(D^{*+})$ using muonic $τ$ decays
The branching fraction ratios of $\overline{B}^0\to D^+τ^-\overlineν_τ$ and $\overline{B}^0\to D^{*+}τ^-\overlineν_τ$ decays are measured with respect to their muonic counterparts, using a data sample corresponding to an integrated luminosity of 2.0 fb$^{-1}$ collected by the LHCb experiment in proton-proton collisions at $\sqrt{s} = 13$ TeV. The reconstructed final states are formed by combining $D^+$ mesons with $τ^-\toμ^-\overlineν_μν_τ$ candidates, where the $D^+$ is reconstructed via the $D^+\to K^-π^+π^+$ decay. The results are \begin{align*} R(D^{+}) &= 0.249 \pm 0.043 \pm 0.047, R(D^{*+}) &= 0.402 \pm 0.081\pm 0.085, \end{align*} where the first uncertainties are statistical and the second systematic. The two measurements have a correlation coefficient of $-0.39$ and are compatible with the Standard Model.