Big-bang nucleosynthesis and leptogenesis in the CMSSM

We have studied the constrained minimal supersymmetric standard model with three right-handed neutrinos, and investigated whether there still is a parameter region consistent with all experimental data/limits such as the baryon asymmetry of the Universe, the dark matter abundance and the lithium primordial abundance. Using Casas-Ibarra parametrization, we have found a very narrow parameter space of the complex orthogonal matrix elements where the lightest slepton can have a long lifetime, which is necessary for solving the lithium problem. We have studied three cases of the right-handed neutrino mass ratio (i) M2=2×M1, (ii) M2=4×M1, (iii) M2=10×M1, while M3=40×M1 is fixed. We have obtained the mass range of the lightest right-handed neutrino that lies between 109 and 1011 GeV. The important result is that its upper limit is derived by solving the lithium problem and the lower limit comes from leptogenesis. Lepton flavor violating decays such as μ→eγ in our scenario are in the reach of MEG-II and Mu3e.