Symmetric functions of $n$-ic residues $\left( {\bmod p} \right)$

+ in the Left - Right Symmetric Model

Leptogenesis in Minimal Left-Right Symmetric Models

We analyze lepton asymmetry induced in the decay of right–handed neutrinos in a class of minimal left–right symmetric models. In these models, which assume low energy supersymmetry, the Dirac neutrino mass matrix is proportional to the charged lepton mass matrix. As a result, lepton asymmetry is calculable in terms of 9 parameters, all measurable in low energy neutrino experiments. By solving t...

Minimal Left-Right Symmetric Dark Matter.

We show that left-right symmetric models can easily accommodate stable TeV-scale dark matter particles without the need for an ad hoc stabilizing symmetry. The stability of a newly introduced multiplet either arises accidentally as in the minimal dark matter framework or comes courtesy of the remaining unbroken Z_{2} subgroup of B-L. Only one new parameter is introduced: the mass of the new mul...

Degenerate neutrinos in left-right symmetric theory.

Various hints on the neutrino masses namely, (i) the solar neutrino deficit (ii) the atmospheric neutrino deficit (iii) the need for the dark matter and/or (iv) the non-zero neutrinoless double beta decay collectively imply that all the three neutrinos must be nearlty degenerate. This feature can be understood in the left right symmetric theory. We present a model based on the group SU(2)L × SU...

Left–Right Symmetric Heterotic–String Derived Models

Recently it was demonstrated that free fermionic heterotic–strings can produce models with solely the Minimal Supersymmetric Standard Model states in the low energy spectrum. This unprecedented result provides further strong evidence for the possibility that the true string vacuum shares some of the properties of the free fermionic models. Past free fermionic models have focused on several poss...