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In a recent paper we studied the effect of new-physics operators withdifferent Lorentz structures on the semileptonic $\Lambda_b \to \Lambda_c \tau\bar{\nu}_{\tau}$ decay. This decay is of interest in light of the$R({D^{(*)}})$ puzzle in the semileptonic $\bar{B} \to D^{(*)} \tau{\bar\nu}_\tau$ decays. In this work we add tensor operators to extend ourprevious results and consider both model-independent new physics (NP) andspecific classes of models proposed to address the $R({D^{(*)}})$ puzzle. Weshow that a measurement of $R(\Lambda_c) = {\cal B}[\Lambda_b \to \Lambda_c\tau \bar{\nu}_{\tau}] / {\cal B}[\Lambda_b \to \Lambda_c \ell\bar{\nu}_{\ell}]$ can strongly constrain the NP parameters of models discussedfor the $R({D^{(*)}})$ puzzle. We use form factors from lattice QCD tocalculate all $\Lambda_b \to \Lambda_c \tau \bar{\nu}_{\tau}$ observables. The$\Lambda_b \to \Lambda_c$ tensor form factors had not previously beendetermined in lattice QCD, and we present new lattice results for these formfactors here.

Phenomenology of $\Lambda_b \to \Lambda_c \tau \bar{\nu}_{\tau}$ using lattice QCD calculations