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We provide a determination of the complete angular distribution for the fourbody rare decay $\Lambda_b \to \Lambda(\to N \pi) \ell^+\ell^-$, withunpolarized $\Lambda_b$ baryons and massive leptons, in the operator basisapproach which includes the scalar, pseudo-scalar, vector, axial-vector andtensor operators. Especially, the contributions of tensor operators have beencalculated for the first time in this work. Since the lepton mass is retainedin our calculations, the lepton flavour universality and the decay mode$\Lambda_b \to \Lambda(\to N \pi) \tau^+\tau^-$ can be investigated in detail.For comparison with the experiment, we study the numerical results ofobservables within the Standard Model and the $S_1+S_3$ Leptoquark model.Significant deviation can be found between experiment data and the StandardModel predictions. The $S_1+S_3$ Leptoquark model can be further explored withthe experimental progresses. In addition, we demonstrate the sensitivity ofvarious angular observables to tensor operators contributions firstly, and findout that the potential New Physics effects of tensor operators can not beignored in $b\to s\ell^+\ell^-$ transitions.

Angular distribution of the rare decay $\Lambda_b \to \Lambda(\to N \pi) \ell^+\ell^-$