Studying flavor-changing processes involving charm and bottom quarks is 
a powerful way of searching for new physics. Most of these efforts have 
focused on D and B mesons, but charm and bottom baryons are now playing 
an increasingly important role. Measurements of Lambda_b decays at the 
Large Hadron Collider can shed new light on "anomalies" observed in 
mesonic b decays, including the V_{ub} puzzle and the recent hints for 
physics beyond the Standard Model in b -> s l l and b -> c tau nu 
transitions. In this talk, I will review lattice QCD calculations of the 
form factors describing weak decays of Lambda_b baryons, and discuss the 
phenomenological implications. I will also present lattice QCD results 
for the charm-baryon semileptonic decays Lambda_c -> Lambda l nu, whose 
branching fractions have recently been measured precisely by the BESIII 
collaboration.