Phenomenology of Dirac neutrinogenesis in split supersymmetry

In split-supersymmetry scenarios the possibility of having a very heavy gravitino opens the door to alleviate or completely solve the worrisome “gravitino problem” in the context of supersymmetric baryogenesis models. Here we assume that the gravitino may indeed be heavy and that Majorana masses for neutrinos are forbidden as well as direct Higgs Yukawa couplings between left- and right-handed neutrinos. We investigate the viability of the mechansim known as Dirac leptogenesis (or neutrinogenesis), both in solving the baryogenesis puzzle and explaining the observed neutrino sector phenomenology. To successfully address these issues, the scenario requires the introduction of at least two new heavy fields. If a hierarchy among these new fields is introduced, and some reasonable stipulations are made on the couplings that appear in the superpotential, it becomes a generic feature to obtain the observed large lepton mixing angles. We show that in this case, it is possible simultaneously to obtain both the correct neutrino phenomenology and enough baryon number, making thermal Dirac neutrinogenesis viable. However, due to cosmological constraints, its ability to satisfy these constraints depends nontrivially on model parameters of the overall theory, particularly the gravitino mass. Split supersymmetry with ${10}^5\mathrm{GeV}\lesssim m_{3/2}\lesssim {10}^{10}\mathrm{GeV}$ emerges as a “natural habitat” for thermal Dirac neutrinogenesis.