Electroweak baryogenesis and electron EDM in the TNMSSM

We have studied the impact of CP-violating (CPV) effects on electroweak baryogenesis (EWBG) and the electric dipole moment (EDM) of electron ($d_e$), the electric dipole moment (EDM) of mercury neutron ($d_n$) and the electric dipole moment (EDM) of ($d_{Hg}$) in an extension of the Minimal Supersymmetric Standard Model (MSSM). The model incorporating a $SU(2)$ triplet with hypercharges of $\pm1$ and a gauge singlet from the standard model that is mutually coupled, is collectively referred to as the next-to-minimal supersymmetric standard model with triplets (TNMSSM). Furthermore, we discuss the strong first-order phase transition (PT) achieved by this model via tree-level effects. The numerical results indicate that the TNMSSM can account for the observed baryon asymmetry. Additionally, the regions favored by EWBG can be compatible with the corresponding electron EDM bounds when different contributions to the $d_e$ cancel each other out.