Seesaw and leptogenesis: a triangular ansatz

A triangular ansatz for the seesaw mechanism and baryogenesis via leptogenesis is explored. In a basis where both the charged lepton and the Majorana mass matrix are diagonal, the Dirac mass matrix can generally be written as the product of a unitary times a triangular matrix. We assume the unitary matrix to be the identity and then an upper triangular Dirac matrix. Constraints from bilarge lepton mixing and leptogenesis are studied.Comment: 6 pages, revised and correcte

Lepton mixing and seesaw mechanism

In the context of a typical model for fermion mass matrices, possibly based on the horizontal U(2) symmetry, we explore the effect of the type II seesaw mechanism on lepton mixings. We find that the combined contribution of type I and type II terms is able to explain the large but not maximal 1-2 mixing and the near maximal 2-3 mixing, while the 1-3 mixing angle is predicted to be small.Comment: 7 pages RevTex4. Revise: comment and reference adde

Baryon asymmetry and mass matrices

In the framework of the baryogenesis via leptogenesis mechanism we study the link between the amount of baryon asymmetry and neutrino mass matrices. In particular, neglecting phases, we find that if the Dirac neutrino mass matrix is related to the up quark mass matrix, the baryon asymmetry is about three orders smaller than the required value. If the Dirac neutrino mass matrix is related to the down quark or the charged lepton mass matrix, the baryon asymmetry is about two orders smaller than the required value. In order to get a sufficient amount of baryon asymmetry we need a more moderate hierarchy in the Dirac neutrino mass matrix.Comment: 11 pages, RevTex. Comment adde

Baryogenesis via leptogenesis from quark-lepton symmetry\par and a compact heavy NRN_R spectrum

By demanding a compact spectrum for the right-handed neutrinos and an approximate quark-lepton symmetry inspired from SO(10) gauge unification (assuming a Dirac neutrino mass matrix close to the up quark mass matrix), we construct a {\it fine tuning} scenario for baryogenesis via leptogenesis. We find two solutions with a normal hierarchy, with the lightest neutrino mass $m_1$ different from zero, providing an absolute scale for the spectrum. In the approximations of the model, there are three independent CP phases : $\delta_L$ (that we take of the order of the quark Kobayashi-Maskawa phase) and the two light neutrino Majorana phases $\alpha$ and $\beta$. A main conclusion is that, although this general scheme is rather flexible, in some regions of parameter space we find that the necessary baryogenesis with its sign is given in terms of the $\delta_L$ phase alone. The light Majorana phases can also be computed and turn out to be close of $\pi/2$ or small. Moreover, SO(10) breaks down to the Pati-Salam group $SU(4) \times SU(2) \times SU(2)$ at the expected natural intermediate scale of about $10^{10}-10^{11}\ GeV$. A prediction is done for the effective mass in $(\beta \beta)_{0\nu}$ decay, the $\nu_e$ mass and the sum of all light neutrino masses.Comment: 51 pages and 16 figure