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

  • We explore the consequences of assuming a simple 3-parameter form, first without T-violation, for the neutrino mass matrix M in the basis νeμτ 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.
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  • [1] . 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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A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix

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

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 νeμτ 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.

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