The $R_{ D^{ (\ast)}}$ anomaly is one of the most intriguing experimental results in particle physics today. Experiments such as BaBar, Belle and LHCb have measured a consistent tension with the standard model (SM). We study several extensions of the SM that could potentially explain this tension, such as production of heavy $\mathrm{ W}^{ \prime}$ bosons, under the sequential SM scenario, leptoquarks with preferential couplings to third generation fermions, and interpretations through effective field theories. Such models, are not only able to explain the $R_{ D^{ (\ast)}}$ anomaly but also to produce distinctive signatures at the LHC. We present different feasibility studies to probe each of these scenarios at the LHC, considering final states with one $\mathrm{ b}$-quark candidate, one hadronically decaying tau lepton ($\tau_{ h}$) and missing transverse momentum ($p^{ miss}_{ \mathrm{ T}}$). The selection criteria has been optimized for each model to achieve best signal signficance. The studies are performed considering different LHC running conditions, at $\sqrt{ s} = 13 \, \mathrm{ TeV}$ and 13.6 $\mathrm{ TeV}$, and different luminosities (150~$\mathrm{ fb}^{ -1}$ and 3000~$\mathrm{ fb}^{ -1}$).
Categories: hep-ph