Correlation of normal neutrino mass ordering with upper octant of &theta;23 and third quadrant of &delta; via RGE-induced &mu;-&tau; symmetry breaking

Guo-yuan Huang; Zhi-zhong Xing; Jing-yu Zhu

doi:10.1088/1674-1137/42/12/123108

Chinese Physics C> 2018, Vol. 42> Issue(12) : 123108 DOI: 10.1088/1674-1137/42/12/123108

Correlation of normal neutrino mass ordering with upper octant of θ₂₃ and third quadrant of δ via RGE-induced μ-τ symmetry breaking

Abstract
HTML
Reference
Related

PDF

Abstract：
The recent global analysis of three-flavor neutrino oscillation data indicates that the normal neutrino mass ordering is favored over the inverted one at the 3σ level, and the best-fit values of the largest neutrino mixing angle θ₂₃ and the Dirac CP-violating phase δ are located in the higher octant and third quadrant, respectively. We show that all these important issues can be naturally explained by the μ-τ reflection symmetry breaking of massive neutrinos from a superhigh energy scale down to the electroweak scale owing to the one-loop renormalization-group equations (RGEs) in the minimal supersymmetric standard model (MSSM). The complete parameter space is explored for the first time in both the Majorana and Dirac cases, by allowing the smallest neutrino mass m₁ and the MSSM parameter tanβ to vary within their reasonable regions.
- renormalization group equations ,
- - reflection symmetry ,
- lepton flavor mixing

References

[1]	C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001(2016)
[2]	P. Minkowski, Phys. Lett. B, 67:421(1977); T. Yanagida, in Proceedings of the Workshop on Unified Theory and the Baryon Number of the Universe, edited by O. Sawada and A. Sugamoto (KEK, Tsukuba, 1979), p. 95; M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, edited by P. van Nieuwenhuizen and D. Freedman (North Holland, Amsterdam, 1979), p. 315; S.L. Glashow, in it Quarks and Leptons, edited by M. Levy et al, (Plenum, New York, 1980), p. 707; R.N. Mohapatra and G. Senjanovic, Phys. Rev. Lett., 44:912(1980). For a brief review of other seesaw mechanisms, see:Z. Z. Xing, Prog. Theor. Phys. Suppl., 180:112(2009), arXiv:0905.3903
[3]	G. Altarelli and F. Feruglio, Rev. Mod. Phys., 82:2701(2010), arXiv:1002.0211; S. F. King, Rept. Prog. Phys., 76:056201(2013), arXiv:1301.1340; A. Aranda, C. Bonilla, S. Morisi, E. Peinado, and J. W. F. Valle, Phys. Rev. D, 89:033001(2014), arXiv:1307.3553; S. Centelles Chuli, R. Srivastava, and J. W. F. Valle, Phys. Lett. B, 773:26(2017), arXiv:1706.00210
[4]	Z. Z. Xing and Z. H. Zhao, Rept. Prog. Phys., 79:076201(2016), arXiv:1512.04207
[5]	P. H. Chankowski and Z. Pluciennik, Phys. Lett. B, 316:312(1993),[hep-ph/9306333]; K. S. Babu, C. N. Leung, and J. T. Pantaleone, Phys. Lett. B, 319:191(1993),[hep-ph/9309223]; J. A. Casas, J. R. Espinosa, A. Ibarra, and I. Navarro, Nucl. Phys. B, 573:652(2000),[hep-ph/9910420]; S. Antusch, M. Drees, J. Kersten, M. Lindner, and M. Ratz, Phys. Lett. B, 519:238(2001),[hep-ph/0108005]; P. H. Chankowski and S. Pokorski, Int. J. Mod. Phys. A, 17:575(2002),[hep-ph/0110249]; S. Antusch, J. Kersten, M. Lindner, M. Ratz, and M. A. Schmidt, JHEP, 0503:024(2005),[hep-ph/0501272]; S. Ray, Int. J. Mod. Phys. A, 25:4339(2010), arXiv:1005.1938; For a recent review with extensive references, see:T. Ohlsson and S. Zhou, Nature Commun., 5:5153(2014), arXiv:1311.3846
[6]	S. Antusch, J. Kersten, M. Lindner, and M. Ratz, Nucl. Phys. B, 674:401(2003),[hep-ph/0305273]
[7]	Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys., 28:870(1962); B. Pontecorvo and Sov. Phys., JETP, 26:984(1968),[Zh. Eksp. Teor. Fiz., 53:1717(1967)]
[8]	F. Capozzi, E. Lisi, A. Marrone, and A. Palazzo, arXiv:1804.09678
[9]	P. F. de Salas, D. V. Forero, C. A. Ternes, M. Tortola, and J. W. F. Valle, arXiv:1708.01186(updated in April 2018); I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, and T. Schwetz, JHEP, 01:087(2017), arXiv:1611.01514, and NuFIT 3.2(2018), www.nu-fit.org
[10]	W. Grimus and L. Lavoura, Fortsch. Phys., 61:535(2013), arXiv:1207.1678
[11]	R. N. Mohapatra and C. C. Nishi, JHEP, 1508:092(2015), arXiv:1506.06788
[12]	P. F. Harrison and W. G. Scott, Phys. Lett. B, 547:219(2002),[hep-ph/0210197]; Z. z. Xing, H. Zhang, and S. Zhou, Phys. Lett. B, 641:189(2006),[hep-ph/0607091]; Z. z. Xing, Phys. Rev. D, 78:011301(2008), arXiv:0805.0416; B. Adhikary, A. Ghosal, and P. Roy, JHEP, 0910:040(2009), arXiv:0908.2686; T. Baba and M. Yasue, Prog. Theor. Phys., 123:659(2010), arXiv:1003.1438; Z. z. Xing and Y. L. Zhou, Phys. Lett. B, 693:584(2010), arXiv:1008.4906
[13]	H. Zhang and S. Zhou, Phys. Lett. B, 704:296(2011), arXiv:1107.1097; S. Zhou, arXiv:1205.0761[hep-ph]; Z. z. Xing, Phys. Lett. B, 716:220(2012), arXiv:1205.6532; Z.Z. Xing and S. Zhou, Phys. Lett. B, 737:196(2014), arXiv:1404.7021; R. N. Mohapatra and C. C. Nishi, JHEP, 1508:092(2015), arXiv:1506.06788; Z. z. Xing and J. y. Zhu, Chin. Phys. C, 41:123103(2017), arXiv:1707.03676; Z.H. Zhao, arXiv:1803.04603; N. Nath, arXiv:1805.05823; S. F. King and C. C. Nishi, arXiv:1807.00023[hep-ph]
[14]	S. Luo and Z. Z. Xing, Phys. Rev. D, 90:073005(2014), arXiv:1408.5005
[15]	Y. L. Zhou, arXiv:1409.8600
[16]	Z. H. Zhao, arXiv:1605.04498; Z. H. Zhao, JHEP, 1709:023(2017), arXiv:1703.04984; W. Rodejohann and X. J. Xu, Phys. Rev. D, 96:055039(2017), arXiv:1705.02027; Z. C. Liu, C. X. Yue, and Z. H. Zhao, JHEP, 1710:102(2017), arXiv:1707.05535; N. Nath, Z. z. Xing, and J. Zhang, Eur. Phys. J. C, 78:289(2018), arXiv:1801.09931; and references therein
[17]	Z. Z. Xing, D. Zhang, and J. Y. Zhu, JHEP, 1711:135(2017), arXiv:1708.09144
[18]	G. L. Fogli, E. Lisi, A. Marrone, A. Palazzo, and A. M. Rotunno, Phys. Rev. Lett., 101:141801(2008), arXiv:0806.2649
[19]	F. P. An et al (Baya Bay Collaboration), Phys. Rev. Lett., 108:171803(2012), arXiv:1203.1669
[20]	J. Ellis and S. Lola, Phys. Lett. B, 458:310(1999),[hep-ph/9904279]; H. Fritzsch and Z. Z. Xing, Prog. Part. Nucl. Phys., 45:1(2000),[hep-ph/9912358]
[21]	F. Feroz and M. P. Hobson, Mon. Not. Roy. Astron. Soc., 384:449(2008), arXiv:0704.3704; F. Feroz, M. P. Hobson, and M. Bridges, Mon. Not. Roy. Astron. Soc., 398:1601(2009), arXiv:0809.3437; F. Feroz, M. P. Hobson, E. Cameron, and A. N. Pettitt, arXiv:1306.2144
[22]	P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 594:A13(2016), arXiv:1502.01589
[23]	See, e.g., Z. Z. Xing, H. Zhang, and S. Zhou, Phys. Rev. D, 86:013013(2012), arXiv:1112.3112; J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori, A. Riotto, and A. Strumia, Phys. Lett. B, 709:222(2012), arXiv:1112.3022
[24]	G. C. Branco, P. M. Ferreira, L. Lavoura, M. N. Rebelo, M. Sher, and J. P. Silva, Phys. Rept., 516:1(2012), arXiv:1106.0034

[1]	Hiroshi Okada , Yuta Orikasa . Lepton mass matrix from double covering of A₄ modular flavor symmetry. Chinese Physics C, 2022, 46(12): 123108. doi: 10.1088/1674-1137/ac92d8
[2]	Kun Hao , Kangjie Shi . The symmetry group of Feynman diagrams and consistency of the BPHZ renormalization scheme. Chinese Physics C, 2021, 45(2): 023107. doi: 10.1088/1674-1137/abcd30
[3]	Zhu Luo , Cheng-feng Cai , Zhao-feng Kang , Zhao-huan Yu , Hong-hao Zhang . Scalar quintuplet minimal dark matter with Yukawa interactions: perturbative up to the Planck scale. Chinese Physics C, 2019, 43(2): 023102. doi: 10.1088/1674-1137/43/2/023102
[4]	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
[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]	Hai-Bin Zhang , Tai-Fu Feng , Shu-Min Zhao , Yu-Li Yan , Fei Sun . 125 GeV Higgs decay with lepton flavor violation in the μνSSM. Chinese Physics C, 2017, 41(4): 043106. doi: 10.1088/1674-1137/41/4/043106
[7]	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
[8]	Zhi-zhong Xing , Jing-yu Zhu . Neutrino mass ordering and μ-τ reflection symmetry breaking. Chinese Physics C, 2017, 41(12): 123103. doi: 10.1088/1674-1137/41/12/123103
[9]	HU Ling-Fei , GAO Li-Dan , LI Zhen-Jie , WANG Shan-Feng , SHENG Wei-Fan , LIU Peng , XU Wei . Monochromatic X-ray-induced thermal effect on four-reflection. Chinese Physics C, 2015, 39(9): 096004. doi: 10.1088/1674-1137/39/9/096004
[10]	HAN Jie , BAO Jing-Dong . Modified fusion probability by reflection boundary. Chinese Physics C, 2015, 39(5): 054104. doi: 10.1088/1674-1137/39/5/054104
[11]	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
[12]	LIU Lang . No-core Monte Carlo shell model calculations with unitary correlation operator method and similarity renormalization group. Chinese Physics C, 2015, 39(5): 054103. doi: 10.1088/1674-1137/39/5/054103
[13]	DING Gui-Jun , ZHOU Ye-Ling . Predicting lepton flavor mixing from Δ(48) and generalized CP symmetries. Chinese Physics C, 2015, 39(2): 021001. doi: 10.1088/1674-1137/39/2/021001
[14]	WANG Bin , ZHAO Ming-Gang , SUN Ke-Sheng , LI Xue-Qian . Testing lepton flavor universality in terms of BESⅢ and charm-tau factory data. Chinese Physics C, 2013, 37(7): 073101. doi: 10.1088/1674-1137/37/7/073101
[15]	CHAO Wei . Neutrino masses and lepton-flavor-violating τ decays in the supersymmetric left-right model. Chinese Physics C, 2011, 35(3): 214-222. doi: 10.1088/1674-1137/35/3/002
[16]	S. Eidelman¹ , 2 . τ lepton decays. Chinese Physics C, 2010, 34(6): 896-901. doi: 10.1088/1674-1137/34/6/047
[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]	Chen Min , Hou Boyu , Shi Kangjie . Reflection Matrix of Z_n Belavin Model. Chinese Physics C, 1996, 20(S4): 325-331.
[20]	Jin Changhao . Down-Quark Masses and Flavor Mixing. Chinese Physics C, 1988, 12(S1): 59-68.

Access

Get Citation

Guo-yuan Huang, Zhi-zhong Xing and 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[J]. Chinese Physics C, 2018, 42(12): 123108. doi: 10.1088/1674-1137/42/12/123108

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-07-26

Fund

Supported by the National Natural Science Foundation of China (11775231, 11775232)

Article Metric

Article Views(1584)
PDF Downloads(18)
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

Correlation of normal neutrino mass ordering with upper octant of θ₂₃ and third quadrant of δ via RGE-induced μ-τ symmetry breaking

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Correlation of normal neutrino mass ordering with upper octant of θ₂₃ and third quadrant of δ via RGE-induced μ-τ symmetry breaking

Corresponding author: Guo-yuan Huang,

Corresponding author: Zhi-zhong Xing,

Corresponding author: Jing-yu Zhu,

HTML

目录