Neutrino mass ordering and &mu;-&tau; reflection symmetry breaking

Zhi-zhong Xing; Jing-yu Zhu

doi:10.1088/1674-1137/41/12/123103

Chinese Physics C> 2017, Vol. 41> Issue(12) : 123103 DOI: 10.1088/1674-1137/41/12/123103

Neutrino mass ordering and μ-τ reflection symmetry breaking

Zhi-zhong Xing ^1,2,3,, ,
Jing-yu Zhu ^1,2,,

1.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
2.
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
3.
Center for High Energy Physics, Peking University, Beijing 100080, China

Abstract
HTML
Reference
Related

PDF

Abstract：
If the neutrino mass spectrum turns out to be m₃ < m₁ < m₂, it may be relabeled as m'₁ < m'₂ < m'₃ such that all the masses of fundamental fermions with the same electrical charges are in order. In this case the columns of the 3×3 lepton flavor mixing matrix U should be reordered accordingly, and the resulting pattern U' may involve one or two large mixing angles in the standard parametrization or its variations. Since the Majorana neutrino mass matrix remains unchanged in such a mass relabeling, a possible μ-τ reflection symmetry is respected in this connection and its breaking effects are model-independently constrained at the 3σ level by using current experimental data.
- neutrinos ,
- flavor symmetry ,
- mass hierarchy

References

[1]	Z. Z. Xing and S. Zhou, Neutrinos in Particle Physics, Astronomy and Cosmology (Zhejiang University Press and Springer-Verlag, 2011)
[2]	Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys., 28:870(1962); B. Pontecorvo, Sov. Phys. JETP, 26:984(1968)
[3]	N. Cabibbo, Phys. Rev. Lett., 10:531(1963); M. Kobayashi and T. Maskawa, Prog. Theor. Phys., 49:652(1973)
[4]	C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001(2016)
[5]	M. Aoki et al Phys. Rev. D, 67:093004(2003)
[6]	F. Capozzi, E. Di Valentino, E. Lisi, A. Marrone, A. Melchiorri, and A. Palazzo, Phys. Rev. D, 95:096014(2017)
[7]	K. Abe et al (T2K Collaboration), arXiv:1707.01048; M. Hartz, T2K Neutrino Oscillation Results with Data up to 2017 Summer, talk given at the KEK Colloquium, August 4, 2017
[8]	I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, and T. Schwetz, JHEP, 1701:087(2017); A. Caldwell, A. Merle, O. Schulz, and M. Totzauer, arXiv:1705.01945
[9]	Z. Z. Xing, H. Zhang, and S. Zhou, Phys. Rev. D, 77:113016(2008); Phys. Rev. D, 86:013013(2012)
[10]	E. Majorana, Nuovo Cimento, 14:171(1937)
[11]	P. F. Harrison and W. G. Scott, Phys. Lett. B, 547:219(2002)
[12]	Z. Z. Xing and Z. H. Zhao, Rept. Prog. Phys., 79:076201(2016)
[13]	H. Fritzsch and Z. Z. Xing, Phys. Rev. D, 57:594(1998)
[14]	H. Fritzsch and Z. Z. Xing, Phys. Lett. B, 413:396(1997)
[15]	J. M. Gerard and Z. Z. Xing, Phys. Lett. B, 713:29(2012); Z. Z. Xing, Chin. Phys. C, 36:281(2012)
[16]	Z. Z. Xing and S. Zhou, Phys. Lett. B, 666:166(2008)
[17]	M. Raidal, Phys. Rev. Lett., 93:161801(2004); H. Minakata and A. Yu. Smirnov, Phys. Rev. D, 70:073009(2004)
[18]	Z. Z. Xing, Phys. Lett. B, 618:141(2005)
[19]	Z. Z. Xing, arXiv:1309.2102(unpublished)
[20]	W. Grimus, A. S. Joshipura, S. Kaneko, L. Lavoura, H. Sawanaka, and M. Tanimoto, Nucl. Phys. B, 713:151(2005); Z. H. Zhao, arXiv:1703.04984; W. Rodejohann and X.J. Xu, arXiv:1705.02027
[21]	P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 594:A13(2016)
[22]	W. H. Furry, Phys. Rev. D,56:1184(1939)
[23]	S. M. Bilenky and C. Giunti, Int. J. Mod. Phys. A, 30:1530001(2015)
[24]	Z. Z. Xing and Z. H. Zhao, Eur. Phys. J. C, 77:192(2017); Z. Z. Xing, Z. H. Zhao, and Y. L. Zhou, Eur. Phys. J. C, 75:423(2015)
[25]	H. Fritzsch, Phys. Lett. B, 73:317(1978); Nucl. Phys. B, 155:189(1979)
[26]	Z. Z. Xing, Phys. Lett. B, 550:178(2002); S. Zhou and Z. Z. Xing, Eur. Phys. J. C, 38:495(2005)
[27]	P. H. Frampton, S. L. Glashow, and D. Marfatia, Phys. Lett. B, 536:79(2002)
[28]	Z. Z. Xing, Phys. Lett. B, 530:159(2002); Phys. Lett. B, 539:85(2002); H. Fritzsch, Z. Z. Xing, and S. Zhou, JHEP, 1109:083(2011)

[1]	Yessica Lenis , John D. Gómez , William A. Ponce , Richard H. Benavides . Two Texture Zeros for Dirac Neutrinos in a Diagonal charged lepton basis. Chinese Physics C, 2025, 49(3): 1-12.
[2]	Binyu Pang , Abdusalam Abdukerim , Zihao Bo , Wei Chen , Xun Chen , Chen Cheng , Zhaokan Cheng , Xiangyi Cui , Yingjie Fan , Deqing Fang , Changbo Fu , Mengting Fu , Lisheng Geng , Karl Giboni , Linhui Gu , Xuyuan Guo , Chencheng Han , Ke Han , Changda He , Jinrong He , Di Huang , Yanlin Huang , Junting Huang , Zhou Huang , Ruquan Hou , Yu Hou , Xiangdong Ji , Yonglin Ju , Chenxiang Li , Jiafu Li , Mingchuan Li , Shuaijie Li , Tao Li , Qing Lin , QiJianglaing Liu , Congcong Lu , Xiaoying Lu , Lingyin Luo , Yunyang Luo , Wenbo Ma , Yugang Ma , Yajun Mao , Yue Meng , Xuyang Ning , Ningchun Qi , Zhicheng Qian , Xiangxiang Ren , Nasir Shaheed , Xiaofeng Shang , Xiyuan Shao , Guofang Shen , Lin Si , Wenliang Sun , Andi Tan , Yi Tao , Anqing Wang , Meng Wang , Qiuhong Wang , Shaobo Wang , Siguang Wang , Wei Wang , Xiuli Wang , Zhou Wang , Yuehuan Wei , Mengmeng Wu , Weihao Wu , Jingkai Xia , Mengjiao Xiao , Xiang Xiao , Pengwei Xie , Binbin Yan , Xiyu Yan , Jijun Yang , Yong Yang , Yukun Yao , Chunxu Yu , Ying Yuan , Zhe Yuan , Xinning Zeng , Dan Zhang , Minzhen Zhang , Peng Zhang , Shibo Zhang , Shu Zhang , Tao Zhang , Yang Zhang , Yingxin Zhang , Yuanyuan Zhang , Li Zhao , Qibin Zheng , Jifang Zhou , Ning Zhou , Xiaopeng Zhou , Yong Zhou , Yubo Zhou . Detecting neutrinos from supernova bursts in PandaX-4T. Chinese Physics C, 2024, 48(7): 073002. doi: 10.1088/1674-1137/ad3efe
[3]	Junji Jia , Yaoguang Wang , Shun Zhou . On the possibility to determine neutrino mass hierarchy via supernova neutrinos with short-time characteristics. Chinese Physics C, 2019, 43(9): 095102. doi: 10.1088/1674-1137/43/9/095102
[4]	Guo-yuan Huang , Zhi-zhong Xing , Jing-yu Zhu . Correlation of normal neutrino mass ordering with upper octant of θ₂₃ and third quadrant of δ via RGE-induced μ-τ symmetry breaking. Chinese Physics C, 2018, 42(12): 123108. doi: 10.1088/1674-1137/42/12/123108
[5]	Zhi-zhong Xing , Shun Zhou . Naumov-and Toshev-like relations in the renormalization-group evolution of quarks and Dirac neutrinos. Chinese Physics C, 2018, 42(10): 103105. doi: 10.1088/1674-1137/42/10/103105
[6]	Linping Mu , Hiroshi Okada , Chao-Qiang Geng . A model with flavor-dependent gauged U(1)_B-L₁×U(1)_B-L₂-L₃ symmetry. Chinese Physics C, 2018, 42(12): 123106. doi: 10.1088/1674-1137/42/12/123106
[7]	Rui-Yun Guo , Jing-Fei Zhang , Xin Zhang . Exploring neutrino mass and mass hierarchy in the scenario of vacuum energy interacting with cold dark matter. Chinese Physics C, 2018, 42(9): 095103. doi: 10.1088/1674-1137/42/9/095103
[8]	Sai Wang , Yi-Fan Wang , Dong-Mei Xia . Constraints on the sum of neutrino masses using cosmological data including the latest extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample. Chinese Physics C, 2018, 42(6): 065103. doi: 10.1088/1674-1137/42/6/065103
[9]	Takuya Morozumi , Hideaki Okane , Hiroki Sakamoto , Yusuke Shimizu , Kenta Takagi , Hiroyuki Umeeda . Phenomenological aspects of possible vacua of a neutrino flavor model. Chinese Physics C, 2018, 42(2): 023102. doi: 10.1088/1674-1137/42/2/023102
[10]	Yue-Liang Wu . Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime. Chinese Physics C, 2017, 41(10): 103106. doi: 10.1088/1674-1137/41/10/103106
[11]	Ya-Fei Guo , Peng-Hui Chen , Fei Niu , Hong-Fei Zhang , Gen-Ming Jin , Zhao-Qing Feng . Isospin splitting of nucleon effective mass and symmetry energy in isotopic nuclear reactions. Chinese Physics C, 2017, 41(10): 104104. doi: 10.1088/1674-1137/41/10/104104
[12]	Zong-guo Si , Xing-hua Yang , Shun Zhou . Broken S_3L×S_3R flavor symmetry and leptonic CP violation. Chinese Physics C, 2017, 41(11): 113105. doi: 10.1088/1674-1137/41/11/113105
[13]	Claudio O. Dib , C. S. Kim , Kechen Wang . Search for heavy sterile neutrinos in trileptons at the LHC. Chinese Physics C, 2017, 41(10): 103103. doi: 10.1088/1674-1137/41/10/103103
[14]	Xing-Xing Dong , Shu-Min Zhao , Hai-Bin Zhang , Fang Wang , Tai-Fu Feng . Feynman rules for neutrinos and new neutralinos in the BLMSSM. Chinese Physics C, 2016, 40(9): 093103. doi: 10.1088/1674-1137/40/9/093103
[15]	Ming-Yang Huang , Xin-Heng Guo , Bing-Lin Young . Detection of supernova neutrinos at spallation neutron sources. Chinese Physics C, 2016, 40(7): 073102. doi: 10.1088/1674-1137/40/7/073102
[16]	JIA Lian-Bao , GUO Xing-Dao , JIN Hong-Ying , ZHAO Ming-Gang , LI Xue-Qian . Search for supersymmetric mesinos near production thresholdin terms of super flavor symmetry. Chinese Physics C, 2015, 39(8): 083102. doi: 10.1088/1674-1137/39/8/083102
[17]	GUO Feng-Kun . Heavy quark spin symmetry and heavy flavor hadronic molecules. Chinese Physics C, 2010, 34(9): 1294-1297. doi: 10.1088/1674-1137/34/9/027
[18]	A. J. Buchmann . Excited nucleon electromagnetic form factors from broken spin-flavor symmetry. Chinese Physics C, 2009, 33(12): 1257-1260. doi: 10.1088/1674-1137/33/12/034
[19]	XING Zhi-Zhong . Massive and massless neutrinos on unbalanced seesaws. Chinese Physics C, 2008, 32(2): 96-99. doi: 10.1088/1674-1137/32/2/004
[20]	Shen Kun , Qiu Zhongping . Chiral Symmetry, Ward-Takahashi Identities and Mass spectra in (2 + 1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1991, 15(S4): 401-410.

Access

Get Citation

Zhi-zhong Xing and Jing-yu Zhu. Neutrino mass ordering and μ-τ reflection symmetry breaking[J]. Chinese Physics C, 2017, 41(12): 123103. doi: 10.1088/1674-1137/41/12/123103

Zhi-zhong Xing and Jing-yu Zhu. Neutrino mass ordering and μ-τ reflection symmetry breaking[J]. Chinese Physics C, 2017, 41(12): 123103. doi: 10.1088/1674-1137/41/12/123103 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-07-14
Revised: 2017-09-22

Fund

Supported by National Natural Science Foundation of China (11135009, 11375207)

Article Metric

Article Views(1742)
PDF Downloads(127)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

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

Neutrino mass ordering and μ-τ reflection symmetry breaking

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Neutrino mass ordering and μ-τ reflection symmetry breaking

Corresponding author: Zhi-zhong Xing,

Corresponding author: Jing-yu Zhu,

HTML

目录