A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix

Chinese Physics C> 2006, Vol. 30> Issue(7) : 591-598

A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix

Physics Department, Columbia University, New York, NY 10027, U.S.A.2 China Center of Advanced Science and TechnologyCCAST/World Lab., Beijing 100080, China

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Abstract：
We explore the consequences of assuming a simple 3-parameter form, first without T-violation, for the neutrino mass matrix M in the basis ν_e,ν_μ,ν_τ with a new symmetry. This matrix determines the three neutrino masses m₁,m₂,m₃, as well as the mapping matrix U that diagonalizes M. Since U, without T-violation, yields three measurable parameters s₁₂, s₂₃, s₁₃, our form expresses six measurable quantities in terms of three parameters, with results in agreement with the experimental data. More precise measurements can give stringent tests of the model as well as determining the values of its three parameters. An extension incorporating T-violation is also discussed.

References

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. Eidelman S et al(Particle Data Group). Phys. Lett., 2004,B592: 12. Harrison P F, Scott W G. Phys. Lett., 2002, B535: 1633. Wolfenstein L. Phys. Rev., 1978, D18: 958; Harrison P F,Perkins D H, Scott W G. Phys. Lett., 2002, B530: 167;Xing Z Z. Phys. Lett., 2002, B533: 85; He X G, Zee A.Phys. Lett., 2003, B560: 874. Lee T D. Chinese Physics, 2006, 15: 1125 (American Physical Society Meeting, First Session on 50 Years Since the Discovery of Parity Nonconservation in the Weak Interaction I, April 22, 2006)

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A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix[J]. Chinese Physics C, 2006, 30(7): 591-598.

A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix[J]. Chinese Physics C, 2006, 30(7): 591-598. shu

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Received: 2006-06-08
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix

Corresponding author: ,

Physics Department, Columbia University, New York, NY 10027, U.S.A.2 China Center of Advanced Science and TechnologyCCAST/World Lab., Beijing 100080, China

Received Date: 2006-06-08
Accepted Date: 1900-01-01
Available Online: 2006-07-05

Abstract: We explore the consequences of assuming a simple 3-parameter form, first without T-violation, for the neutrino mass matrix M in the basis ν_e,ν_μ,ν_τ with a new symmetry. This matrix determines the three neutrino masses m₁,m₂,m₃, as well as the mapping matrix U that diagonalizes M. Since U, without T-violation, yields three measurable parameters s₁₂, s₂₃, s₁₃, our form expresses six measurable quantities in terms of three parameters, with results in agreement with the experimental data. More precise measurements can give stringent tests of the model as well as determining the values of its three parameters. An extension incorporating T-violation is also discussed.