  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
$\overline{\Lambda}$ baryons. For short-lived $\Lambda_c^+$ and $\Xi_c^+$
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.
