Probing the R-parity violating supersymmetric effects in Bc→J/ψℓ−ν¯ℓ,ηcℓ−ν¯ℓ and Λb→Λcℓ−ν¯ℓ decays

Motivated by recent RD, RD⁎ and RJ/ψ anomalies in B→Dℓ−ν¯ℓ, B→D⁎ℓ−ν¯ℓ and Bc→J/ψℓ−ν¯ℓ decays, respectively, we study possible R-parity violating supersymmetric effects in Bc→J/ψℓ−ν¯ℓ,ηcℓ−ν¯ℓ and Λb→Λcℓ−ν¯ℓ decays, which are also induced by b→cℓ−ν¯ℓ at quark level. We find that (I) the constrained slepton exchange couplings λi33λ˜i23′⁎ involving in b→cτ−ν¯τ transition from relevant latest experimental data still have quite large effects on all (differential) branching ratios and the normalized forward-backward asymmetries of the exclusive semileptonic b→cτ−ν¯τ decays as well as the ratios of the (differential) branching ratios; (II) after satisfying the data of RD and RD⁎, the upper limit of RJ/ψ, Rηc and RΛc could be increased by 10%, 112% and 24%, respectively, from their upper limits of the Standard Model predictions by the λi33λ˜′⁎i23 couplings. The results in this work could be used to probe R-parity violating effects and will correlate with searches for direct supersymmetric signals at the running LHCb and the forthcoming Belle-II.