  Permanent electric dipole moments (EDMs) of fundamental particles provide
powerful probes for physics beyond the Standard Model. We propose to search for
the EDM of strange and charm baryons at LHC, extending the ongoing experimental
program on the neutron, muon, atoms, molecules and light nuclei. The EDM of
strange Lambda baryons, selected from weak decays of charm baryons produced in
pp collisions at LHC, can be determined by studying the spin precession in the
magnetic field of the detector tracking system. A test of CPT symmetry can be
performed by measuring the magnetic dipole moment of Lambda and anti-Lambda
baryons. For short-lived Lambdac+ and Xic+ baryons, to be produced in a
fixed-target experiment using the 7 TeV LHC beam and channeled in a bent
crystal, the spin precession is induced by the intense electromagnetic field
between crystal atomic planes. The experimental layout based on the LHCb
detector and the expected sensitivities in the coming years are discussed.
