Search for new physics in semileptonic $B$-decays

Semileptonic decays provide an excellent environment for testing the Standard Model (SM). Violation of lepton universality would be a smoking gun for physics beyond the SM. Using semi-tauonic $B$ decays, LHCb finds a value of $\mathcal{R}(D^*) = \mathcal{B}(\bar{B}^0 \to D^{*+} \tau^{-} \bar{\nu}_{\tau}/\mathcal{B}(\bar{B}^0 \to D^{*+} \mu^{-} \bar{\nu}_{\mu}) = 0.336 \pm 0.027 \rm{(stat)} \pm 0.030 \rm{(syst)}$, which is 2.1 standard deviations larger than the value expected from the SM. Moreover, the measurement of the $CP$ asymmetry in mixing of $B_s^0$ mesons is highly sensitive to physics beyond the SM. This article presents the latest result on semileptonic asymmetries; using the full Run 1 dataset, it is found that $a_{\rm{sl}}^s = (0.39 \pm 0.26 \rm{(stat)} \pm 0.20 \rm{(syst)})\%$, which is consistent with the Standard Model.