Implications of the dark large mixing angle solution and a fourth sterile neutrino for neutrinoless double beta decay

We analyze the effect of the dark large mixing angle (DLMA) solution on the effective Majorana mass (mββ) governing neutrinoless double beta decay (0νββ) in the presence of a sterile neutrino. We consider the 3+1 picture, comprised of one additional sterile neutrino. We check that the Mikheyev-Smirnov-Wolfenstein resonance in the Sun can take place in the DLMA parameter space in this scenario. Next, we investigate how the values of the solar mixing angle θ12 corresponding to the DLMA region alter the predictions of mββ by including a sterile neutrino in the analysis. We also compare our results with three-generation cases for both standard large mixing angle (LMA) and DLMA. Additionally, we evaluate the discovery sensitivity of the future Xe136 experiments in this context.