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Abstract In a recent paper we studied the effect of new-physics operators with different Lorentz structures on the semileptonic Λ b → Λ c τ ν ¯ τ $$ {\Lambda}_b\to {\Lambda}_c\tau {\overline{\nu}}_{\tau } $$ decay. This decay is of interest in light of the R(D (*)) puzzle in the semileptonic B ¯ → D ∗ τ ν ¯ τ $$ \overline{B}\to {D}^{\left(\ast \right)}\tau {\overline{\nu}}_{\tau } $$ decays. In this work we add tensor operators to extend our previous results and consider both model-independent new physics (NP) and specific classes of models proposed to address the R(D (*)) puzzle. We show that a measurement of R Λ c = ℬ Λ b → Λ c τ ν ¯ τ / ℬ Λ b → Λ c ℓ ν ¯ ℓ $$ R\left({\Lambda}_c\right)=\mathrm{\mathcal{B}}\left[{\Lambda}_b\to {\Lambda}_c\tau {\overline{\nu}}_{\tau}\right]/\mathrm{\mathcal{B}}\left[{\Lambda}_b\to {\Lambda}_c\ell {\overline{\nu}}_{\ell}\right] $$ can strongly constrain the NP parameters of models discussed for the R(D (*)) puzzle. We use form factors from lattice QCD to calculate all Λ b → Λ c τ ν ¯ τ $$ {\Lambda}_b\to {\Lambda}_c\tau {\overline{\nu}}_{\tau } $$ observables. The Λ b → Λ c tensor form factors had not previously been determined in lattice QCD, and we present new lattice results for these form factors here.