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

Abstract
HTML
Reference
Related

PDF

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]	HU Ze-Hua , SUN Wei-Li , TIAN Dong-Feng , ZHANG Ben-Ai . Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model. Chinese Physics C, 2007, 31(2): 155-161.
[2]	ZHONG Wei-Li , LIU Jin-Chang , YANG Chang-Gen , GUAN Meng-Yun , LI Zu-Hao . Study of EMI 8'' PMTs for Reactor Neutrino Experiment. Chinese Physics C, 2007, 31(5): 481-486.
[3]	HOU Jie , LIU Gui-Min . Transport Line Orbit Distortion Correction Based on Response Matrix and SVD Algorithm. Chinese Physics C, 2006, 30(S1): 37-39.
[4]	GUO Wan-Lei , XING Zhi-Zhong . Constraints on the Tritium Beta Decay and the Neutrinoless Double Beta Decay in the Minimal Seesaw Model. Chinese Physics C, 2006, 30(8): 709-713.
[5]	HE Hui-Lin , LI Yan-Guo , WU Bo-Bing , ZHANG Cheng-Mo , WANG Jin-Zhou , ZHANG Yong-Jie , DONG Yong-Wei . Calculation of the HXMT Detector Energy Response Matrix. Chinese Physics C, 2005, 29(7): 687-690.
[6]	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.
[7]	LI Jin , LIU Yan , ZHAO Di-Xin , MAO Ze-Pu , QIU Jin-Fa , XIA Xiao-Mi , LAI Yuan-Fen , SHENG Hua-Yi , WANG Pei-Liang , ZHUANG Bao-An , ZHAO Ping-Ping , SHI Feng , YUE Qian , , , , . The CsI(T1) Crystal Detector in TEXONO Low Energy Neutrino Experiment. Chinese Physics C, 2002, 26(4): 393-401.
[8]	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.
[9]	HONG Tao , LV Feng , ZHANG Chang-Chun , TONG Guo-Liang , SHEN Xiao-Yan , MAO Ze-Pu , LI Wei-Guo , SUN Liang-Feng , BIAN Jian-Guo , WANG Jun , YU Guo-Wei , YUAN Jian-Ming . BESⅡ Error Matrix Correction on Charged Channel. Chinese Physics C, 2001, 25(7): 607-616.
[10]	Xing Zhizhong . Quark Mass Matrices and CP Violation. Chinese Physics C, 1995, 19(7): 667-671.
[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]	WU Hui-Fang , SONG Hong-Qiu . PION-SINGLE-CHARGE-EXCHANGE CONTRIBUTION TO NEUTRINOLESS DOUBLE BETA DECAY. Chinese Physics C, 1989, 13(8): 714-718.
[13]	CHEN Qi-Zhou , LI Zhi-Bing , HE Bao-Peng , LUO Xiang-Qian , GUO Shuo-Hong . THE WEAK INTERACTION MATRIX ELEMENTS OF │ΔS│=2 ON LATTICE. Chinese Physics C, 1988, 12(4): 459-464.
[14]	DONG Shao-Jing , YING He-Ping . AN ALTERNATIVE WAY OF CALCULATING GLUEBALL MASSES AT WEAKER COUPLING. Chinese Physics C, 1988, 12(2): 277-280.
[15]	FU De-Ji , GAN You-Ping . THE CALCULATION OF 2v ββ NUCLEAR MATRIX ELEMENT. Chinese Physics C, 1987, 11(4): 549-553.
[16]	LI TlE-ZHNG . THE PROBLEM OF FOUR GENERATION STRATON WEAK COUPLING MATRIX. Chinese Physics C, 1981, 5(3): 307-313.
[17]	Zhu Dong-pei . THE ANTI-COMMUTATIVE, SELF-INVERSE MATRICES AND THE TRANSFORMATIONS IN EIGENVALUE PROBLEM. Chinese Physics C, 1980, 4(4): 423-432.
[18]	Wu Dan-di , Li Tie-zhong . A MODEL TO CALCULATE K-M MATRIX USING HORIZONTAL GAUGE. Chinese Physics C, 1980, 4(4): 455-458.
[19]	Shen Qi-xing , Li Bing-an , Yu Hong , Zhang Mei-man . DEEP INELASTIC SCATTERING PROCESSES OF THE NEUTRINOS ON POLARIZED NUCLEONS. Chinese Physics C, 1980, 4(4): 417-422.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(4387)
PDF Downloads(1355)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.