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I review the parametrisation of the full set of $\Lambda_b\to\Lambda^*(1520)$ form factors in the framework of Heavy Quark Expansion, includingnext-to-leading-order $\mathcal{O}(\alpha_s)$ and, for the first time,next-to-leading-power $\mathcal{O}(1/m_b)$ corrections. The unknown hadronicparameters are obtained by performing a fit to recent lattice QCD  calculations. I investigate the compatibility of the Heavy Quark Expansionand the current lattice data, finding tension between these two approaches inthe case of tensor and pseudo-tensor form factors, whose origin could come froman underestimation of the current lattice QCD uncertainties and higher orderterms in the Heavy Quark Expansion.

Heavy quark expansion of $\Lambda_b\to\Lambda^*(1520)$ form factors beyond leading order