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Measurements of the electron's electric dipole moment (eEDM) are demandingtests of physics beyond the Standard Model. We describe how ultracold YbFmolecules could be used to improve the precision of eEDM measurements by two tothree orders of magnitude. Using numerical simulations, we show how thecombination of magnetic focussing, two-dimensional transverse laser cooling,and frequency-chirped laser slowing, can produce an intense, slow,highly-collimated molecular beam. We show how to make a magneto-optical trap ofYbF molecules and how the molecules could be loaded into an optical lattice.eEDM measurements could be made using the slow molecular beam or usingmolecules trapped in the lattice. We estimate the statistical sensitivity thatcould be reached in each case and consider how sources of noise can be reducedso that the shot-noise limit of sensitivity can be reached. We also considersystematic effects due to magnetic fields and vector light shifts and how theycould be controlled.

Methods for measuring the electron EDM using ultracold YbF molecules