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The rare baryonic decay $\Lambda_b\to \Lambda(\to p\pi^-)\mu^+\mu^-$ providesvaluable complementary information compared to the corresponding mesonic $b\tos\mu^+\mu^-$ transition. In this paper, using the latest high-precision latticeQCD calculation of the $\Lambda_b\to\Lambda$ transition form factors, we studythis interesting decay within the aligned two-Higgs-doublet model, payingparticularly attention to effects of the chirality-flipped operators generatedby the charged scalars. In order to extract the full set of angularcoefficients in this decay, we consider the following ten angular observablesthat can be derived from the analysis of the subsequent parity-violating$\Lambda\to p\pi^-$ decay: the differential branching fraction ${\rm d}{\calB}/{\rm d}q^2$, the longitudinal polarization fraction $F_L$, the lepton-,hadron- and combined lepton-hadron-side forward-backward asymmetries $A_{\rmFB}^\ell$, $A_{\rm FB}^\Lambda$ and $A_{\rm FB}^{\ell\Lambda}$, as well as theother five asymmetry observables $Y_i$~($i={\rm 2,\,3s,\,3sc,\,4s,\,4sc}$).Detailed numerical comparisons are made between the SM and NP values for theseangular observables. It is found that, under the constraints from the inclusive$B\to X_s\gamma$ branching fraction and the latest global fit results of $b\tos\ell\ell$ data, the contributions of right-handed semileptonic operators$O^{\prime}_{9,10}$, besides reconciling the $P_5^{\prime}$ anomaly observed in$B^0\to K^{\ast 0}\mu^+\mu^-$ decay, could also enhance the values of ${\rmd}{\cal B}/{\rm d}q^2$ and $A_{\rm FB}^\ell$ in the bin $[15,20]~{\rm GeV}^2$,leading to results consistent with the current LHCb measurements.

The $\Lambda_b\to \Lambda(\to p\pi^-)\mu^+\mu^-$ decay in the aligned two-Higgs-doublet model