Lepton mixing and the charged-lepton mass ratios

We construct a class of renormalizable models for lepton mixing that generate predictions given in terms of the charged-lepton mass ratios. We show that one of those models leads, when one takes into account the known experimental values, to almost maximal CP-breaking phases and to almost maximal neutrinoless double-beta decay. We study in detail the scalar potential of the models, especially the bounds imposed by unitarity on the values of the quartic couplings.Comment: 39 pages, 9 figures; revised version addressed the criticism of the editor, matches now the published versio

Quantum SU(3) Skyrme model with noncanonical embedded SO(3) soliton

The new ansatz which is the SO(3) group soliton was defined for the SU(3) Skyrme model. The model is considered in noncanonical bases $SU(3)\supset SO(3)$ for the state vectors. A complete canonical quantization of the model have been investigated in the collective coordinate formalism for the fundamental SU(3) representation of the unitary field. The independent quantum variables manifold cover all the eight dimensions SU(3) group manifold due to the new ansatz. The explicit expressions of the Lagrangian and Hamiltonian densities are derived for this modified quantum skyrmion.Comment: 8 RevTex4 pages, no figure

Noncanonicaly Embedded Rational Map Soliton in Quantum SU(3) Skyrme Model

The quantum Skyrme model is considered in non canonical bases SU(3) > SO(3) for the state vectors. A rational map ansatz is used to describe the soliton with the topological number bigger than one. The canonical quantization of the Lagrangian generates in Hamiltonian five different "moments of inertia" and negative quantum mass corrections, which can stabilize the quantum soliton solution. Explicit expressions of the quantum Lagrangian and the Hamiltonian are derived for this model soliton.Comment: 11 RevTex4 pages, no figure

Parametrizing the Neutrino sector

The original Standard Model has massless neutrinos, but the observation of neutrino oscillations requires that neutrinos are massive. The simple extension of adding gauge singlet fermions to the particle spectrum allows normal Yukawa mass terms for neutrinos. The seesaw mechanism then suggests an explanation for the observed smallness of the neutrino masses. After reviewing the framework of the seesaw we suggest a parametrization that directly exhibits the smallness of the mass ratios in the seesaw for an arbitrary number of singlet fermions and we present our plans to perform calculations for a process that might be studied at the LHC.Comment: 8 pages; uses appolb.cls; submitted to the proceedings of "Matter to the Deepest: Recent Development in Physics of Fundamental Interactions", Ustron, Poland, 12-18 Sep 201