Abstract
We have investigated the constrained minimal supersymmetric standard model with three right-handed Majorana neutrinos whether there still is a parameter region which is consistent with all existing experimental data/limits such as Leptogenesis and the dark matter abundance and we also can solve the Lithium problem. Using Casas-Ibarra parameterization, we have found that a very narrow parameter space of the complex orthogonal matrix elements where the lightest slepton can have a long lifetime, that is necessary for solving the Lithium problem. Further, under this condition, there is a parameter region that can give an explanation for the experimental observations. We have studied three cases of the right-handed neutrino mass ratio \mbox{\em (i)} $M_{2}=2 \times M_{1}$, \mbox{\em (ii)} $M_{2}=4 \times M_{1}$, \mbox{\em (iii)} $M_{2}=10 \times M_{1}$ while $M_{3}=40 \times M_{1}$ is fixed. We have obtained the mass range of the lightest right-handed neutrino mass that lies between $10^9$ GeV and $10^{11}$ GeV. The important result is that its upper limit is derived by solving the Lithium problem and the lower limit comes from Leptogenesis. Calculated low-energy observables of these parameter sets such as BR($\mu \to e \gamma$) is not yet restricted by experiments and will be verified in the near future.
Highlights
The standard models (SMs) of particle physics and cosmology have been successful at understanding most of the experimental and observational results obtained so far
The mass and mixing of neutrinos, the baryon asymmetry of the Universe (BAU), the existence of the dark matter (DM), and the so-called lithium (Li) problems are compelling evidence that new physics laws are required. If all of these phenomena are addressed in particle physics, the new physics laws should be incorporated in a unified picture beyond the SM of particle physics
II, we review the constrained MSSM (CMSSM) with the heavy RH Majorana neutrinos
Summary
The standard models (SMs) of particle physics and cosmology have been successful at understanding most of the experimental and observational results obtained so far. There are several phenomena which cannot be explained by these models Among such phenomena, the mass and mixing of neutrinos, the baryon asymmetry of the Universe (BAU), the existence of the dark matter (DM), and the so-called lithium (Li) problems are compelling evidence that new physics laws are required. The mass and mixing of neutrinos, the baryon asymmetry of the Universe (BAU), the existence of the dark matter (DM), and the so-called lithium (Li) problems are compelling evidence that new physics laws are required If all of these phenomena are addressed in particle physics, the new physics laws should be incorporated in a unified picture beyond the SM of particle physics. [32], the authors showed the whole SUSY spectrum in which the lightest neutralino mass is between 350 and 420 GeV in the constrained MSSM (CMSSM) This result is consistent with nonobservation of SUSY particle at the LHC experiment so far. The last section is devoted to a summary and discussion
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