Baryogenesis in the standard model and its supersymmetric extension

In this work, we classify all the effective $U(1)$ symmetries and their associated Noether charges in the Standard Model and its supersymmetric extension from the highest scale after inflation down to the weak scale. We then demonstrate that the discovery of the violation of baryon minus lepton number at any scale above $30$ TeV will open up a new window of baryogenesis in these effective charges above this scale. We also provide several examples where baryogenesis can proceed through out-of-equilibrium dynamics without explicitly breaking baryon nor lepton number.