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The rare baryonic decays $\Lambda_b \to \Lambda \mu^+ \mu^-$ and $\Lambda_b\to \Lambda \gamma$ can complement rare $B$ meson decays in constraining modelsof new physics. In this work, we calculate the relevant $\Lambda_b \to \Lambda$transition form factors at leading order in heavy-quark effective theory usinglattice QCD. Our analysis is based on RBC/UKQCD gauge field ensembles with 2+1flavors of domain-wall fermions, and with lattice spacings of $a\approx 0.11$fm and $a\approx 0.08$ fm. We compute appropriate ratios of three-point andtwo-point correlation functions for a wide range of source-sink separations,and extrapolate to infinite separation in order to eliminate excited-statecontamination. We then extrapolate the form factors to the continuum limit andto the physical values of the light-quark masses.

Form factors for Lambda_b -> Lambda transitions from lattice QCD