  Time Reversal Violation (TRV) interactions between quarks which appear in
Standard Model (SM) and beyond-SM theories can induce TRV components in the
nucleon-nucleon potential. The effects of these components can be studied by
measuring the electric dipole moment (EDM) of light nuclei. In this work we
present a complete derivation of the TRV nucleon-nucleon and three-nucleon
potential up to next-to-next-to leading order (N2LO) in a chiral effective
field theory (chiEFT) framework. The TRV interaction is then used to evaluate
the EDM of 2H, 3H and 3he focusing in particular on the effects of the TRV
three-body force and on the calculation of the theoretical errors. In case of a
measurement of the EDM of these nuclei, the result of present work would permit
to determine the values of the low energy constants and to identify the source
of TRV.
