Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-09-14
Nucl.Phys.B621:208-234,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
New references added, the issue of lepton electric dipole moments in this scenario clarified, version to appear in NPB
Scientific paper
10.1016/S0550-3213(01)00583-1
We study CP violation in the lepton sector of the supersymmetric extension of the Standard Model with three generations of massive singlet neutrinos with Yukawa couplings $Y_\nu$ to lepton doublets, in a minimal seesaw model for light neutrino masses and mixing. This model contains six physical CP-violating parameters, namely the phase $\delta$ observable in oscillations between light neutrino species, two Majorana phases $\phi_{1,2}$ that affect $\beta \beta_{0 \nu}$ decays, and three independent phases appearing in ${Y_\nu}{Y_\nu}^\dagger$, that control the rate of leptogenesis. Renormalization of the soft supersymmetry-breaking parameters induces observable CP violation at low energies, including T-odd asymmetries in polarized $\mu\to eee$ and $\tau \to \ell \ell \ell$ decays, as well as lepton electric dipole moments. In the leading-logarithmic approximation in which the massive singlet neutrinos are treated as degenerate, these low-energy observables are sensitive via ${Y_\nu}^\dagger{Y_\nu}$ to just one combination of the leptogenesis and light-neutrino phases. We present numerical results for the T-odd asymmetry in polarized $\mu\to eee$ decay, which may be accessible to experiment, but the lepton electric dipole moments are very small in this approximation. To the extent that the massive singlet neutrinos are not degenerate, low-energy observables become sensitive also to two other combinations of leptogenesis and light-neutrino phases, in this minimal supersymmetric seesaw model.
Ellis John
Hisano Junji
Lola Smaragda
Raidal Martti
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