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We investigate the ten independent local form-factors relevant to the$b$-baryon decay $\Lambda_b \to \Lambda \ell^+\ell^-$, combining information oflattice QCD and dispersive bounds. We propose a novel parametrization of theform factors in terms of orthonormal polynomials that diagonalizes the formfactor contributions to the dispersive bounds. This is a generalization of theunitarity bounds developed for meson-to-meson form-factors. In contrast toad-hoc parametrizations of these form factors, our parametrization provides adegree of control of the form-factor uncertainties at large hadronic recoil.This is of phenomenological interest for theoretical predictions of, e.g.,$\Lambda_b\to \Lambda \gamma$ and $\Lambda_b\to\Lambda \ell^+\ell^-$ decayprocesses.

Dispersive bounds for local form factors in $\Lambda_b \to \Lambda$ transitions