Textures with two traceless submatrices of the neutrino mass matrix

Alhendi, H. A.; Lashin, E. I.; Mudlej, A. A.

doi:10.1103/physrevd.77.013009

Cited by 20 publications

(26 citation statements)

References 23 publications

(14 reference statements)

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“…In [16], textures containing two independent traceless 2 × 2 sub-matrices were studied, while here we study textures of two independent 'determinant-less' 2 × 2 sub-matrices.…”

Section: Introductionmentioning

confidence: 99%

Zero minors of the neutrino mass matrix

Lashin

Chamoun

2008

Phys. Rev. D

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We examine the possibility that a certain class of neutrino mass matrices, namely those with two independent vanishing minors in the flavor basis, regardless of being invertible or not, is sufficient to describe current data. We compute generic formulae for the ratios of the neutrino masses and for the Majorana phases. We find that seven textures with two vanishing minors can accommodate the experimental data. We present an estimate of the mass matrix for these patterns. All the possible textures can be dynamically generated through the seesaw mechanism augmented with a discrete Abelian symmetry.

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“…In [16], textures containing two independent traceless 2 × 2 sub-matrices were studied, while here we study textures of two independent 'determinant-less' 2 × 2 sub-matrices.…”

Section: Introductionmentioning

confidence: 99%

Zero minors of the neutrino mass matrix

Lashin

Chamoun

2008

Phys. Rev. D

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“…A comprehensive discussion of the place of neutrinos in the scheme of physics has been given by Drewes [30]. We should note also that the three different neutrinos, namely ν e , ν µ , and ν τ , may have different masses [34].…”

Section: Small-mass Neutrinos In the Real Worldmentioning

confidence: 98%

Wigner’s Space-Time Symmetries Based on the Two-by-Two Matrices of the Damped Harmonic Oscillators and the Poincaré Sphere

2014

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The second-order differential equation for a damped harmonic oscillator can be converted to two coupled first-order equations, with two two-by-two matrices leading to the group Sp(2). It is shown that this oscillator system contains the essential features of Wigner's little groups dictating the internal space-time symmetries of particles in the Lorentz-covariant world. The little groups are the subgroups of the Lorentz group whose transformations leave the four-momentum of a given particle invariant. It is shown that the damping modes of the oscillator correspond to the little groups for massive and imaginary-mass particles respectively. When the system makes the transition from the oscillation to damping mode, it corresponds to the little group for massless particles. Rotations around the momentum leave the four-momentum invariant. This degree of freedom extends the Sp(2) symmetry to that of SL(2, c) corresponding to the Lorentz group applicable to the four-dimensional Minkowski space. The Poincaré sphere contains the SL(2, c) symmetry. In addition, it has a non-Lorentzian parameter allowing us to reduce the mass continuously to zero. It is thus possible to construct the little group for massless particles from that of the massive particle by reducing its mass to zero. Spin-1/2 particles and spin-1 particles are discussed in detail.

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“…Further motivation of traceless mass matrices can be provided by models wherein neutrino mass matrix can be constructed through a commutator of two matrices, as what happens in models of radiative mass generation [35]. In [36], Alhendi et al have studied the case of two trackless submatrices of Majorana mass matrix in the flavor basis and carried out a detailed numerical analysis at 3 confidence level. The phenomenological implications of traceless neutrino mass matrix on neutrino masses, CP violating phases, and effective neutrino mass term are also 2 Advances in High Energy Physics studied in [37], for both normal and inverted mass ordering and in case of CP conservation and violation, respectively.…”

Section: Introductionmentioning

confidence: 99%

The Texture One-Zero Neutrino Mass Matrix with Vanishing Trace

Singh

2018

Advances in High Energy Physics

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In the light of latest neutrino oscillation data, we have investigated the one-zero Majorana neutrino mass matrix ] with zero sum condition of mass eigenvalues in the flavor basis, where charged lepton mass matrix is diagonal. Among the six possible one-zero cases, it is found that only five can survive the current experimental data, while case with (1, 1) vanishing element of ] is ruled out, if zero trace condition is imposed at 3 confidence level (CL). Numerical and some approximate analytical results are presented.

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Textures with two traceless submatrices of the neutrino mass matrix

Cited by 20 publications

References 23 publications

Zero minors of the neutrino mass matrix

Zero minors of the neutrino mass matrix

Wigner’s Space-Time Symmetries Based on the Two-by-Two Matrices of the Damped Harmonic Oscillators and the Poincaré Sphere

The Texture One-Zero Neutrino Mass Matrix with Vanishing Trace

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