Electric dipole moments of trinucleon systems in pionless effective field theory

A permanent electric dipole moment (EDM) is evidence of parity and time-reversal violations (PVTV), and thus, of charge conjugation and parity violation(CPV). The measurement of EDMs of few-nucleon systems could help to impose constraints on the TV sources and could provide access to neutron and proton EDMs. Three-nucleon systems, such as the triton and helium-3 have binding momenta much smaller than the mass of pion and are therefore not sensitive to details of pion-exchange. For these, we can use the so-called pionless effective field theory for the calculation of observables which is well tested EFT approach with a well-understood power counting. We calculated the EDM of the triton and helium-3 at leading order without Coulomb interaction in pionless EFT. We used a minimal set of five low energy constants (LECs) for PVTV nucleon-nucleon interactions to express the EDM of triton and helium-3 and compare our results with the previously known chiral EFT results by matching the coupling constants.