Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-06-19
Nucl.Phys.B643:229-246,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 12 postscript figures
Scientific paper
10.1016/S0550-3213(02)00753-8
In the context of the minimal supersymmetric seesaw model, we study the implications of the current neutrino data for thermal leptogenesis, $\beta\beta_{0\nu}$ decay, and leptonic flavour- and CP-violating low-energy observables. We express the heavy singlet-neutrino Dirac Yukawa couplings $(Y_\nu)_{ij}$ and Majorana masses $M_{N_i}$ in terms of the light-neutrino observables and an auxiliary hermitian matrix $H$, which enables us to scan systematically over the allowed parameter space. If the lightest heavy neutrino $N_1$ decays induce the baryon asymmetry, there are correlations between the $M_{N_1}$, the lightest active neutrino mass and the primordial lepton asymmetry $\epsilon_1$ on the one hand, and the $\beta\beta_{0\nu}$ decay parameter $m_{ee}$ on the other hand. {\it However, leptogenesis is insensitive to the neutrino oscillation phase}. We find lower bounds $M_{N_1}\gsim 10^{10}$ GeV for the normal light-neutrino mass hierarchy, and $M_{N_1}\gsim 10^{11}$ GeV for the inverted mass hierarchy, respectively, indicating a potentially serious conflict with the gravitino problem. Depending on $M_{N_1}$, we find upper (upper and lower bounds) on the lightest active neutrino mass for the normal (inverted) mass hierarchy, and a lower bound on $m_{ee}$ even for the normal mass ordering. The low-energy lepton-flavour- and CP-violating observables induced by renormalization are almost independent of leptogenesis. The electron electric dipole moment may be close to the present bound, reaching $d_e\sim 10^{-(27-28)}$ e cm in our numerical examples, while $d_\mu$ may reach $d_\mu\sim 10^{-25}$ e cm.
Ellis John
Raidal Martti
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