Pseudo-Dirac Neutrinos in the New Standard Model

Details Pseudo-Dirac Neutrinos in the New Standard Model Pseudo-Dirac Neutrinos in the New Standard Model

2009-06-09

arxiv.org/abs/0906.1611v2

Phys.Rev.D80:073007,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 Pages, 9 .eps figures, Updated references

Scientific paper

10.1103/PhysRevD.80.073007

The addition of gauge singlet fermions to the Standard Model Lagrangian renders the neutrinos massive and allows one to explain all that is experimentally known about neutrino masses and lepton mixing by varying the values of the Majorana mass parameters M for the gauge singlets and the neutrino Yukawa couplings. Here we explore the region of parameter space where M values are much smaller than the neutrino Dirac masses. In this region, neutrinos are pseudo-Dirac fermions. We find that current solar data constrain M values to be less than at least 1E-9 eV, and discuss the sensitivity of future experiments to tiny gauge singlet fermion masses. We also discuss a useful basis for analyzing pseudo-Dirac neutrino mixing effects. In particular, we identify a simple relationship between elements of M and the induced enlarged mixing matrix and new mass-squared differences. These allow one to directly relate bounds on the new mass-squared differences to bounds on the singlet fermion Majorana masses.

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