  Chiral four-wave-mixing signals are calculated using the irreducible tensor
formalism. Different polarization and crossing angle configurations allow to
single out the magnetic dipole and the electric quadrupole interactions. Other
configurations can reveal that the chiral interaction occurs at a given step
within the nonlinear interaction pathways contributing to the signal.
Applications are made to the study of valence excitations of S-ibuprofen by
chiral Stimulated X-ray Raman signals at the Carbon K-edge and by chiral
visible 2D Electronic Spectroscopy.teraction pathways contributing to the
signal.
