Determining the PMNS Matrix Elements without Assuming Unitarity

2007 ◽  
Author(s):  
S. Antusch ◽  
C. Biggio ◽  
E. Fernández-Martínez ◽  
M. B. Gavela ◽  
J. López-Pavón
Keyword(s):  
Matrix Elements ◽  
Pmns Matrix

scholarly journals Leptonic CP phase determined by an equation involving PMNS matrix elements

2017 ◽  
Vol 44 (4) ◽  
pp. 045001
Author(s):  
Hong-Wei Ke ◽  
Jia-Hui Zhou ◽  
Xue-Qian Li
Keyword(s):  
Matrix Elements ◽  
Pmns Matrix

scholarly journals The hidden symmetries in the PMNS matrix and the light sterile neutrino(s)

2015 ◽  
Vol 30 (27) ◽  
pp. 1550136 ◽  
Author(s):  
Hong-Wei Ke ◽  
Jia-Hui Zhou ◽  
Shuai Chen ◽  
Tan Liu ◽  
Xue-Qian Li
Keyword(s):  
Explicit Formula ◽  
Sterile Neutrino ◽  
Matrix Elements ◽  
Symmetric Form ◽  
Sterile Neutrinos ◽  
Hidden Symmetries ◽  
Ckm Matrix ◽  
Hidden Symmetry ◽  
Pmns Matrix

The approximately symmetric form of the PMNS matrix suggests that there could exist a hidden symmetry which makes the PMNS matrix different from the CKM matrix for quarks. In literature, all the proposed fully symmetric textures exhibit an explicit [Formula: see text] symmetry in addition to other symmetries which may be different for various textures. Observing obvious deviations of the practical PMNS matrix elements from those in the symmetric textures, there must be a mechanism to distort the symmetry. It might be due to the existence of light sterile neutrinos. As an example, we study the case of the Tribimaximal (TB) texture and propose that its apparent symmetry disappears due to the existence of a sterile neutrino.

The light-scattering Mueller matrices for Rayleigh and Rayleigh-Gans-Debye approximation

1990 ◽  
Vol 55 (12) ◽  
pp. 2889-2897
Author(s):  
Jaroslav Holoubek
Keyword(s):  
Light Scattering ◽  
Theoretical Work ◽  
Matrix Elements ◽  
Elastic Light Scattering ◽  
Yield Information ◽  
Recent Theoretical Work ◽  
Particle Parameters ◽  
Complete Set ◽  
Single Matrix ◽  
Scattering Matrix Elements

Recent theoretical work has shown that the complete set of polarized elastic light-scattering studies should yield information about scatterer structure that has so far hardly been utilized. We present here calculations of angular dependences of light-scattering matrix elements for spheres near the Rayleigh and Rayleigh-Gans-Debye limits. The significance of single matrix elements is documented on examples that show how different matrix elements respond to changes in particle parameters. It appears that in the small-particle limit (Rg/λ < 0.1) we do not loose much information by ignoring "large particle" observables.

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