Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?

XING Zhi-Zhong; ZHOU Shun

Chinese Physics C> 2006, Vol. 30> Issue(9) : 828-832

Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?

XING Zhi-Zhong ,
ZHOU Shun ^,

Institute of High Energy Physics, CAS, Beijing 100049, China

Abstract
HTML
Reference
Related

PDF

Abstract：
A simple extension of the standard model is to introduce n heavy right-handed Majorana neutrinos and preserve its SU(2)_L \times U(1)_Y gauge symmetry. Diagonalizing the (3+n)×(3+n) neutrino mass matrix, we obtain an exact analytical expression for the effective mass matrix of ν_e, ν_μand ν_τ. It turns out that the 3×3 neutrino mixing matrix V, which appears in the leptonic charged-current weak interactions, must not be exactly unitary. The unitarity violation of V is negligibly tiny, however, if the canonical seesaw mechanism works to reproduce the correct mass scale of light Majorana neutrinos. A similar conclusion can be drawn in the realistic Type-Ⅱ seesaw models.

References

[1]

. SNO Collaboration(Ahmad Q R et al.). Phys. Rev. Lett.,2002, 89: 0113012. Jung C K et al. Ann. Rev. Nucl. Part. Sci., 2001, 51: 4513. KamLAND Collaboration(Eguchi K et al.). Phys. Rev.Lett., 2003 90: 021802; CHOOZ Collaboration(ApollonioM et al). Phys. Lett., 1998, B420: 397; Palo Verde Collab-oration(Boehm F et al.). Phys. Rev. Lett., 2000, 84: 37644. K2K Collaboration(Ahn M H et al.). Phys. Rev. Lett.,2003, 90: 0418015. Fritzsch H, XING Z Z. Prog. Part. Nucl. Phys., 2000, 45:1; King S F. Rept. Prog. Phys., 2004, 67: 107; Altarelli G,Feruglio F. New J. Phys., 2004, 6: 106; Mohapatra R N etal. hep-ph/05102136. Maki Z, Nakagawa M, Sakata S. Prog. Theor. Phys., 1962,28: 8707. Cabibbo N. Phys. Rev. Lett., 1963, 10: 531; Kobayashi M,Maskawa T. Prog. Theor. Phys., 1973, 49: 6528. XING Z Z. Int. J. Mod. Phys., 2004, A19: 19. Minkowski P. Phys. Lett., 1977, B67: 421; Yanagida T. In:Sawada O, Sugamoto A ed. Proceedings of the Workshopon Uni ed Theory and the Baryon Number of the Universe.Tsukuba: KEK. 1979. 95; Gell-Mann M, Ramond P, Slan-sky R. In: van Nieuwenhuizen P, Freedman D ed. Super-gravity. Amsterdam: North Holland. 1979. 315; Glashow SL. The Future of Elementary Particle Physics. In: Levy Met al. ed. Quarks and Leptons. New York: Plenum. 1980.687; Mohapatra R N, Senjanovic G. Phys. Rev. Lett., 1980,44: 91210. Frampton P, Glashow S L , Yanagida T. Phys. Lett., 2002,B548: 119; GUO W L, XING Z Z. Phys. Lett., 2004,B583: 163; MEI J W, XING Z Z. Phys. Rev., 2004, D69:07300311. Nardi E, Roulet E, Tommasini D. Phys. Lett., 1995, B344:22512. Grimus W, Lavoura L. JHEP, 2000, 0011: 04213. GUO W L, XING Z Z. Phys. Rev., 2002, D65: 073020;Phys. Rev., 2002, D66: 09730214. ZHANG H, XING Z Z. Eur. Phys. J. C, 2005, 41: 143;XING Z Z, ZHANG H. Phys. Lett., 2005, B618: 131

[1]	XIE Yu-Guang , ZHANG Jia-Wen , LIU Qian , HAN Ji-Feng , QIAN Sen , YAO Ning , ZHAO Jian-Bing , CHEN Jin , LI Jian-Cheng . Performance Study of RPC Prototypes for the BESⅢ Muon Detector. Chinese Physics C, 2007, 31(1): 70-75.
[2]	. A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix. Chinese Physics C, 2006, 30(7): 591-598.
[3]	HE Xiao-Gang . Model of Geometric Neutrino Mixing and Leptogenesis. Chinese Physics C, 2006, 30(12): 1200-1205.
[4]	CAO Liang , HUANG Wen-Hui . Accurate Computation on High Order Modes of Axial-symmetric Cavity with The Third Order Vector Finite-Element Method. Chinese Physics C, 2005, 29(8): 793-796.
[5]	JIANG Jun-Qin . Third Order Result of the 0++ Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(5): 447-450.
[6]	CHEN Zhen-Peng , SUN Ye-Ying , ZHANG Rui , LIU Ting-Jin . Covariance Propagation in R-Matrix Model Fitting. Chinese Physics C, 2004, 28(1): 42-47.
[7]	SONG Ming-Tao , YANG Xiao-Dong , YUAN You-Jin , YUAN Ping , ZHANG Wen-Zhi . Analysis of Third Order Quadrupole Aberrations. Chinese Physics C, 2004, 28(7): 758-761.
[8]	YUE Chong-Xing , ZHAO Ye , LI Hong , ZHAO Qi . Lepton Flavor Violating Z→l_il_jin Flavor-Universal Topcolor-Assisted Technicolor Models. Chinese Physics C, 2003, 27(12): 1070-1073.
[9]	Zhen Yi , Yang Wenli , Hou Boyu , Chen Kai . Nondynamical r-Matrix Structure for the Trigonometric Calogero-Moser Model. Chinese Physics C, 1999, 23(9): 854-858.
[10]	Hou Defu , Li Jiarong . On the Next to Leading Order Debye Screening Mass in QGP. Chinese Physics C, 1996, 20(6): 533-537.
[11]	Gao Xiaochun , Gao Jun , Fu Jian . Invariant-Related Unitary Transformation Method and Evolution of the Third-Quantized Wave Function of the Universe. Chinese Physics C, 1996, 20(3): 226-233.
[12]	Xing Zhizhong . Quark Mass Matrices and CP Violation. Chinese Physics C, 1995, 19(7): 667-671.
[13]	HOU Bo-Yu , SHI Kang-Jie , YUE Rui-Hong . The Crossing Matrices and Correlation Function in Nonunitary SU_K(2) Wess-Zumino-Witten Model. Chinese Physics C, 1992, 16(5): 414-422.
[14]	PENG Hong-An . Investigations of Infrared Divergence in Quantum Field Theory from Unitarities and Analyticities. Chinese Physics C, 1992, 16(10): 891-899.
[15]	LIU Chun , XING Zhi-Zhong . Hadronic Matrix Elements in the Cornell Potential Model. Chinese Physics C, 1991, 15(11): 997-1000.
[16]	HOU Bo-Yu , SHI Kang-Jie , YUE Rui-Hong . EXPLICIT EXPRESSIONS OF FUSION AND BRAID MATRICES IN UNITARY MINIMAL MODEL. Chinese Physics C, 1990, 14(9): 802-809.
[17]	ZHOU Jing-Chen , CAI Xu . BREAK DOWN OF UNIVERSALITY OF KNO SCALED MULTIPLICITY DISTRIBUTIONS IN HIGH ENERGY HADRON-NUCLEUS COLLISIONS AND MULTISOURCE MODEL. Chinese Physics C, 1989, 13(10): 896-899.
[18]	CHEN Tian-Lun , HUANG Wu-Qun , SHEN Qin-Wan . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON THREE-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1988, 12(4): 573-576.
[19]	JIA Qi-Ka , TANG Xiao-Wei , YANG Bao-Zhong , LI Yao-Qing , YE Jing-Bo . A MEASUREMENT OF THE LINEAR POLARIZATION OF PHOTONS EMITTED FROM THREE PHOTON ANNIHILATION OF POSITRONS & ELECTRONS. Chinese Physics C, 1987, 11(3): 293-299.
[20]	WANG Xing-Min , SONG Xiao-Tong , YIN Peng-Cheng . THE REGGE-CORRECTION AND THE SCALING VIOLATION OF HADRION STRUCTURE FUNCTIONS IN BAG MODEL. Chinese Physics C, 1983, 7(2): 160-169.

Access

Get Citation

XING Zhi-Zhong and ZHOU Shun. Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?[J]. Chinese Physics C, 2006, 30(9): 828-832.

XING Zhi-Zhong and ZHOU Shun. Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?[J]. Chinese Physics C, 2006, 30(9): 828-832. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-03-23
Revised: 1900-01-01

Article Metric

Article Views(3091)
PDF Downloads(687)
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

Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?

Corresponding author: ZHOU Shun,

Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2006-03-23

Accepted Date: 1900-01-01

Available Online: 2006-09-05

Abstract: A simple extension of the standard model is to introduce n heavy right-handed Majorana neutrinos and preserve its SU(2)_L \times U(1)_Y gauge symmetry. Diagonalizing the (3+n)×(3+n) neutrino mass matrix, we obtain an exact analytical expression for the effective mass matrix of ν_e, ν_μand ν_τ. It turns out that the 3×3 neutrino mixing matrix V, which appears in the leptonic charged-current weak interactions, must not be exactly unitary. The unitarity violation of V is negligibly tiny, however, if the canonical seesaw mechanism works to reproduce the correct mass scale of light Majorana neutrinos. A similar conclusion can be drawn in the realistic Type-Ⅱ seesaw models.

HTML

Reference (1)

Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article