Neutrino mass matrices leaving no trace

Abstract

We point attention to the fact that in SO(10) models with non-canonical (type II) see-saw mechanism and exact b-tau unification the trace of the neutrino mass matrix is very small, in fact practically zero. This has the advantage of being a basis independent feature. Taking a vanishing trace as input, immediate phenomenological consequences for the values of the neutrino masses, the CP phases or the predictions for neutrinoless double beta decay arise. We analyze the impact of the zero trace condition for the normal and inverted mass ordering and in case of CP conservation and violation. Simple candidate mass matrices with (close to) vanishing trace and non-zero U_{e3} are proposed. We also compare the results with the other most simple basis independent property, namely a vanishing determinant.

16 pages, 2 figures

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Cited by in corpus (18)

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• Neutrino Mass Matrices with Vanishing Determinant and ${\theta }_{13}$
• Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models
• Leptonic CP violation in a two parameter model
• Predictive Model of Radiative Neutrino Masses
• Constraints on Flavor Neutrino Masses and sin^2(2theta_{12})>>sin^2(theta_{13}) in Neutrino Oscillations
• Leptonic CP violation phases using an ansatz for the neutrino mass matrix and application to leptogenesis
• Modified Zee mass matrix with zero-sum condition
• Texture One Zero Dirac Neutrino Mass Matrix With Vanishing Determinant or Trace Condition
• Study of neutrino mass matrices with vanishing trace and one vanishing minor
• Fine structure of beta decay endpoint spectrum
• The Texture One Zero Neutrino Mass Matrix With Vanishing Trace
• Neutrino mixing matrix and masses from a generalized Friedberg-Lee model
• Study of leptonic CP violation
• Bi-Large Neutrino Mixing See-Saw Mass Matrix with Texture Zeros and Leptogenesis