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We study the differential decay rate for the rare decay $\Lambda_b\to\Lambda(1520)(\to NK)\ell^+\ell^-$ where $\ell$ is a light lepton, as thisdecay mode can provide new and complementary constraints on the Wilsoncoefficients in $b\to s\ell^+\ell^-$ transitions compared to other modes. Weprovide a determination of the complete angular distribution, assumingunpolarised $\Lambda_b$ baryons and neglecting the lepton mass. The resultingangular observables are expressed in terms of helicity amplitudes involvinghadronic form factors within the Standard Model and New physics models withchirality-flipped operators. We study these observables at low and large$\Lambda$ recoils, using effective theories to determine relations among thehadronic form factors involved. As there is currently no determination of theform factors available from lattice simulations or light-cone sum rules, weperform a first illustration of the sensitivity of some observables to NewPhysics contributions using hadronic inputs from quark models.

Angular analysis of the rare decay $\Lambda_b\to \Lambda(1520)(\to NK)\ell^+\ell^-$