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

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2024年10月30日

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

[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)

[1]	XING Zhi-Zhong , ZHOU Shun . Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?. Chinese Physics C, 2006, 30(9): 828-832.
[2]	SUN Ya-Xuan , CAO Jun , LU Jin-Biao , MA Yu-Qian , WANG Yi-Fang , YANG Chang-Gen . Baseline Optimization of Reactor Neutrino Experiments. Chinese Physics C, 2005, 29(6): 543-548.
[3]	ZHOU Ran , GUO Hua . Equation of State of Dense Matter with Trapped Neutrinos. Chinese Physics C, 2004, 28(1): 26-29.
[4]	DAI Chang-Jiang , HE Hui-Lin , YE Zi-Piao , SHENG Xiang-Dong . Development of a New Detector for Solar Neutrino Detection. Chinese Physics C, 2004, 28(5): 526-531.
[5]	XING Zhi-Zhong . Hopeless to Kinematically Detect the Effective Masses of Muon and Tau Neutrinos. Chinese Physics C, 2003, 27(10): 841-845.
[6]	CHEN Dong-Liang , LI Jin , MAO Ze-Pu , WONG T . Calculation of Reactor Antineutrino Spectra in TEXONO. Chinese Physics C, 2002, 26(9): 889-894.
[7]	CHEN Dong-Liang , LI Jin , MAO Ze-Pu , QIU Jin-Fa , Wong T . Monte Carlo Study on the Effect of Shielding in TEXONO Neutrino Experiment. Chinese Physics C, 2002, 26(6): 626-631.
[8]	Chen Min , Hou Boyu , Shi Kangjie . Reflection Matrix of Zⁿ Belavin Model. Chinese Physics C, 1996, 20(9): 794-800.
[9]	Xing Zhizhong . Quark Mass Matrices and CP Violation. Chinese Physics C, 1995, 19(7): 667-671.
[10]	Qing Chengrui , He Zuoxiu , Liang Dongqi , Mao Yajun , Chen Shiping , Sun Hancheng . Possible Explanation of the Negative Values of m_ve~2Obtained from the β-Spectrum Shape Analyses. Chinese Physics C, 1995, 19(1): 27-33.
[11]	Li Yinwan , Zeng Qi , Hou Boyuan . Complete Integrable O(3)-σModel and r,s-Matrices. Chinese Physics C, 1994, 18(6): 518-524.
[12]	YOU Ke , ZHU Yu-Can , LV Jun-Guang , SUN Han-Sheng , TIAN Wei-Hua , ZHAO Wen-Heng , ZHENG Zhi-Peng , YE Ming-Han , QING Cheng-Rui , HE Zuo-Xiu , CUI Feng-Zhu , YU Chang-Jiang , . A Limit of Neutrinoless Double Beta Decay of ⁴⁸Ca. Chinese Physics C, 1991, 15(11): 966-972.
[13]	ZHU Dong-Pei . Eigenmatrices of Dual Transformation and Its Application. Chinese Physics C, 1991, 15(1): 38-41.
[14]	HUANG Wu-Liang . Neutrino Mass and the Superstructure of the Universe. Chinese Physics C, 1991, 15(12): 1135-1136.
[15]	SUN Chang-Pu . SOLAR-NEUTRINO OSCILLATIONS IN MATTER WITH VARYING DENSITY. Chinese Physics C, 1989, 13(5): 403-410.
[16]	DONG Shao-Jing , YING He-Ping . AN ALTERNATIVE WAY OF CALCULATING GLUEBALL MASSES AT WEAKER COUPLING. Chinese Physics C, 1988, 12(2): 277-280.
[17]	YAN Chen , ZHAO Yu-Min , SUN Han-Cheng , YANG Chang-Gen , TANG Xiao-Wei . THE STUDY OF AN ELECTROSTATIC SPHERICAL GRID RETARDING SPECTROMETER FOR THE STUDY OF NEUTRINO REST MASS BY MEASURING BETA SPECTRUM FROM TRITIUM DECAY. Chinese Physics C, 1988, 12(6): 721-725.
[18]	HUO An-Xiang , HUANG Wu-Liang , SUN Xin-Xin . NEUTRING MASS AND THE INTEGRATED NEUTRING SPECTRA OF SN1987A. Chinese Physics C, 1987, 11(6): 854-855.
[19]	LI TlE-ZHNG . THE PROBLEM OF FOUR GENERATION STRATON WEAK COUPLING MATRIX. Chinese Physics C, 1981, 5(3): 307-313.
[20]	TU TUNG-SHENG , WU JI-MIN . NEUTRINO-PROTON, NEUTRINO-ELECTRON ELASTIC SCATTERING AND THE SPACE-TIME STRUCTURE OF THE WEAK NEUTRAL CURRENTS. Chinese Physics C, 1978, 2(6): 515-525.

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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.