Grand unification of the sterile neutrino

Abstract

The simplest way to simultaneously understand all existing indications of neutrino oscillations from solar and atmospheric neutrino deficits and the LSND experiment, seems to be to postulate a sterile neutrino. We present a realistic grand unified model based on the gauge group SO(10) × SO(10) that leads to the desired masses and mixings for the sterile and the known neutrinos needed to understand the above observations while fitting those of the known charged fermions. The model is a grand unified realization of the recently proposed idea that the sterile neutrino is the lightest neutrino of a mirror sector of the universe which has identical matter and gauge content as the standard model. The two SO(10)'s operate on the two sectors in a mirror symmetric way and are connected by a mixed Higgs representations whose net effect is to connect the superheavy right handed neutrinos of the two sectors.

Can the SO(10) model with two Higgs doublets reproduce the observed fermion masses?

“…However, we have not referred to the neutrino masses. Concerning this problem, Brahmachari and Mohapatra have recently showed that one 10 and one 126 model is incompatible with large ν µ -ν τ mixing angle [7]. Since there are many possibilities for neutrino mass generation mechanism, we are optimistic about this problem, too.…”

Production and evolution of perturbations of sterile neutrino dark matter

“…Singlet neutrinos with masses relevant to oscillation experiments and dark matter can arise in grand unified models [26], string-inspired models [27], and models with large extra dimensions [28,29]. In reverence to Occam's razor, the minimalist model of Ref.…”

Neutrino oscillation workshop 2000: conference summary

“…Another [14] involves sterile neutrinos associated with a parallel hidden sector of nature, as suggested in some superstring and supergravity theories. Yet another associates the sterile neutrino with the light (10 −3 eV) Kaluza-Klein modes associated with a large (mm) extra dimension [15].…”

“…For light Majorana neutrinos, the amplitude is proportional to m νe , defined in (14). The current upper limit of 0.35 eV at 90% is from the Heidelberg-Moscow experiment.…”